diff --git a/doc/changelog.dox b/doc/changelog.dox
index 6d755430d..7c0031997 100644
--- a/doc/changelog.dox
+++ b/doc/changelog.dox
@@ -116,6 +116,12 @@ See also:
     -   @webgl_extension{WEBGL,multi_draw}
     -   @webgl_extension{WEBGL,draw_instanced_base_vertex_base_instance}
     -   @webgl_extension{WEBGL,multi_draw_instanced_base_vertex_base_instance}
+-   Recognizing @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+    OpenGL ES and @webgl_extension{WEBGL,compressed_texture_etc} WebGL
+    extensions, making ETC and EAC @ref GL::CompressedPixelFormat and
+    @ref GL::TextureFormat values available also on OpenGL ES 2.0 and WebGL.
+    The values were already present in WebGL 2.0 builds by accident before,
+    without documenting corresponding extension requirements.
 -   Added a @ref GL::AbstractTexture::target() getter to simplify interaction
     with raw GL code
 -   Exposed @gl_extension{ARB,buffer_storage} as
diff --git a/doc/opengl-support.dox b/doc/opengl-support.dox
index 5fa2e2252..2c955aab4 100644
--- a/doc/opengl-support.dox
+++ b/doc/opengl-support.dox
@@ -391,6 +391,7 @@ Extension                                   | Status
 @gl_extension{ANGLE,framebuffer_multisample} | done
 @gl_extension{ANGLE,instanced_arrays}       | done
 @gl_extension{ANGLE,depth_texture}          | done
+@m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt) (unlisted) | done
 @gl_extension{APPLE,framebuffer_multisample} | done (ES 3.0 subset)
 @gl_extension{APPLE,texture_max_level}      | done
 @gl_extension{ARM,rgba8}                    | done
@@ -570,6 +571,7 @@ Extension                                   | Status
 @webgl_extension{WEBGL,debug_shaders}       | |
 @webgl_extension{WEBGL,compressed_texture_s3tc} | done
 @webgl_extension{WEBGL,compressed_texture_pvrtc} | done
+@webgl_extension{WEBGL,compressed_texture_etc} | done
 @webgl_extension{WEBGL,compressed_texture_astc} | done
 @webgl_extension{WEBGL,compressed_texture_s3tc_srgb} | done
 @webgl_extension{WEBGL,multi_draw}          | done
diff --git a/src/Magnum/GL/AbstractTexture.cpp b/src/Magnum/GL/AbstractTexture.cpp
index 51294a550..81d616521 100644
--- a/src/Magnum/GL/AbstractTexture.cpp
+++ b/src/Magnum/GL/AbstractTexture.cpp
@@ -574,10 +574,9 @@ PixelFormat pixelFormatForInternalFormat(const TextureFormat internalFormat) {
         #ifndef MAGNUM_TARGET_GLES
         case TextureFormat::CompressedRed:
         #endif
-        #ifndef MAGNUM_TARGET_GLES2
+        /* for WebGL 1 these two are in the Luminance case instead */
         case TextureFormat::CompressedR11Eac:
         case TextureFormat::CompressedSignedR11Eac:
-        #endif
             return PixelFormat::Red;
         #endif
 
@@ -624,10 +623,9 @@ PixelFormat pixelFormatForInternalFormat(const TextureFormat internalFormat) {
         #ifndef MAGNUM_TARGET_GLES
         case TextureFormat::CompressedRG:
         #endif
-        #ifndef MAGNUM_TARGET_GLES2
+        /* for WebGL 1 these two are in the LuminanceAlpha case instead */
         case TextureFormat::CompressedRG11Eac:
         case TextureFormat::CompressedSignedRG11Eac:
-        #endif
             return PixelFormat::RG;
         #endif
 
@@ -692,9 +690,7 @@ PixelFormat pixelFormatForInternalFormat(const TextureFormat internalFormat) {
         case TextureFormat::CompressedRGBBptcUnsignedFloat:
         case TextureFormat::CompressedRGBBptcSignedFloat:
         #endif
-        #ifndef MAGNUM_TARGET_GLES2
         case TextureFormat::CompressedRGB8Etc2:
-        #endif
         case TextureFormat::CompressedRGBS3tcDxt1:
         #ifdef MAGNUM_TARGET_GLES
         case TextureFormat::CompressedRGBPvrtc2bppV1:
@@ -708,9 +704,7 @@ PixelFormat pixelFormatForInternalFormat(const TextureFormat internalFormat) {
         #ifndef MAGNUM_TARGET_GLES2
         case TextureFormat::SRGB8:
         #endif
-        #ifndef MAGNUM_TARGET_GLES2
         case TextureFormat::CompressedSRGB8Etc2:
-        #endif
         case TextureFormat::CompressedSRGBS3tcDxt1:
         #if defined(MAGNUM_TARGET_GLES) && !defined(MAGNUM_TARGET_WEBGL)
         case TextureFormat::CompressedSRGBPvrtc2bppV1:
@@ -764,10 +758,8 @@ PixelFormat pixelFormatForInternalFormat(const TextureFormat internalFormat) {
         #if !defined(MAGNUM_TARGET_GLES2) || defined(MAGNUM_TARGET_WEBGL)
         case TextureFormat::CompressedRGBABptcUnorm:
         #endif
-        #ifndef MAGNUM_TARGET_GLES2
         case TextureFormat::CompressedRGB8PunchthroughAlpha1Etc2:
         case TextureFormat::CompressedRGBA8Etc2Eac:
-        #endif
         case TextureFormat::CompressedRGBAS3tcDxt1:
         case TextureFormat::CompressedRGBAS3tcDxt3:
         case TextureFormat::CompressedRGBAS3tcDxt5:
@@ -800,10 +792,8 @@ PixelFormat pixelFormatForInternalFormat(const TextureFormat internalFormat) {
         #if !defined(MAGNUM_TARGET_GLES2) || defined(MAGNUM_TARGET_WEBGL)
         case TextureFormat::CompressedSRGBAlphaBptcUnorm:
         #endif
-        #ifndef MAGNUM_TARGET_GLES2
         case TextureFormat::CompressedSRGB8PunchthroughAlpha1Etc2:
         case TextureFormat::CompressedSRGB8Alpha8Etc2Eac:
-        #endif
         case TextureFormat::CompressedSRGBAlphaS3tcDxt1:
         case TextureFormat::CompressedSRGBAlphaS3tcDxt3:
         case TextureFormat::CompressedSRGBAlphaS3tcDxt5:
@@ -850,8 +840,22 @@ PixelFormat pixelFormatForInternalFormat(const TextureFormat internalFormat) {
 
         #ifdef MAGNUM_TARGET_GLES2
         case TextureFormat::Luminance:
+        #ifdef MAGNUM_TARGET_WEBGL
+        /* Not sure if this is the right place, as neither of the
+           {ANGLE,WEBGL}_compressed_texture_etc specifications says what the corresponding pixel format is meant to be. For desktop, ES and
+           WebGL 2 these two are in the Red case instead. */
+        case TextureFormat::CompressedR11Eac:
+        case TextureFormat::CompressedSignedR11Eac:
+        #endif
             return PixelFormat::Luminance;
         case TextureFormat::LuminanceAlpha:
+        #ifdef MAGNUM_TARGET_WEBGL
+        /* Not sure if this is the right place, as neither of the
+           {ANGLE,WEBGL}_compressed_texture_etc specifications says what the corresponding pixel format is meant to be. For desktop, ES and
+           WebGL 2 these two are in the RG case instead. */
+        case TextureFormat::CompressedRG11Eac:
+        case TextureFormat::CompressedSignedRG11Eac:
+        #endif
             return PixelFormat::LuminanceAlpha;
         #endif
 
@@ -950,7 +954,6 @@ PixelType pixelTypeForInternalFormat(const TextureFormat internalFormat) {
         case TextureFormat::CompressedRGBABptcUnorm:
         case TextureFormat::CompressedSRGBAlphaBptcUnorm:
         #endif
-        #ifndef MAGNUM_TARGET_GLES2
         case TextureFormat::CompressedRGB8Etc2:
         case TextureFormat::CompressedSRGB8Etc2:
         case TextureFormat::CompressedRGB8PunchthroughAlpha1Etc2:
@@ -961,7 +964,6 @@ PixelType pixelTypeForInternalFormat(const TextureFormat internalFormat) {
         case TextureFormat::CompressedSignedR11Eac:
         case TextureFormat::CompressedRG11Eac:
         case TextureFormat::CompressedSignedRG11Eac:
-        #endif
         case TextureFormat::CompressedRGBS3tcDxt1:
         case TextureFormat::CompressedSRGBS3tcDxt1:
         case TextureFormat::CompressedRGBAS3tcDxt1:
diff --git a/src/Magnum/GL/Context.cpp b/src/Magnum/GL/Context.cpp
index de9a3e1c1..8bc85dc43 100644
--- a/src/Magnum/GL/Context.cpp
+++ b/src/Magnum/GL/Context.cpp
@@ -295,6 +295,7 @@ constexpr Extension ExtensionList[]{
     #endif
     Extensions::WEBGL::blend_equation_advanced_coherent{},
     Extensions::WEBGL::compressed_texture_astc{},
+    Extensions::WEBGL::compressed_texture_etc{},
     Extensions::WEBGL::compressed_texture_pvrtc{},
     Extensions::WEBGL::compressed_texture_s3tc{},
     Extensions::WEBGL::compressed_texture_s3tc_srgb{},
@@ -341,6 +342,7 @@ constexpr Extension ExtensionList[]{
     #ifndef MAGNUM_TARGET_GLES2
     Extensions::ANGLE::base_vertex_base_instance{},
     #endif
+    Extensions::ANGLE::compressed_texture_etc{},
     Extensions::ANGLE::multi_draw{},
     Extensions::ANGLE::texture_compression_dxt1{},
     Extensions::ANGLE::texture_compression_dxt3{},
diff --git a/src/Magnum/GL/Extensions.h b/src/Magnum/GL/Extensions.h
index b245e59f3..9709b6c6a 100644
--- a/src/Magnum/GL/Extensions.h
+++ b/src/Magnum/GL/Extensions.h
@@ -337,17 +337,18 @@ namespace ANGLE {
     _extension(37,WEBGL,color_buffer_float,         GLES200,    None) // #14
     _extension(38,WEBGL,draw_buffers,               GLES200, GLES300) // #18
     #endif
-    _extension(39,WEBGL,compressed_texture_astc,    GLES200,    None) // #30
-    _extension(40,WEBGL,compressed_texture_s3tc_srgb, GLES200,  None) // #32
-    _extension(41,WEBGL,multi_draw,                 GLES200,    None) // #40
-    _extension(42,WEBGL,blend_equation_advanced_coherent,GLES200,None) // #42
+    _extension(39,WEBGL,compressed_texture_etc,     GLES200,    None) // #29
+    _extension(40,WEBGL,compressed_texture_astc,    GLES200,    None) // #30
+    _extension(41,WEBGL,compressed_texture_s3tc_srgb, GLES200,  None) // #32
+    _extension(42,WEBGL,multi_draw,                 GLES200,    None) // #40
+    _extension(43,WEBGL,blend_equation_advanced_coherent,GLES200,None) // #42
     #ifndef MAGNUM_TARGET_GLES2
-    _extension(43,WEBGL,draw_instanced_base_vertex_base_instance,GLES300,None) // #46
-    _extension(44,WEBGL,multi_draw_instanced_base_vertex_base_instance,GLES300,None) // #47
+    _extension(44,WEBGL,draw_instanced_base_vertex_base_instance,GLES300,None) // #46
+    _extension(45,WEBGL,multi_draw_instanced_base_vertex_base_instance,GLES300,None) // #47
     #endif
 } namespace MAGNUM {
     #ifndef MAGNUM_TARGET_GLES2
-    _extension(45,MAGNUM,shader_vertex_id,          GLES300, GLES300)
+    _extension(46,MAGNUM,shader_vertex_id,          GLES300, GLES300)
     #endif
 }
 #else
@@ -377,21 +378,22 @@ namespace ANDROID {
        and this is THE ONLY SINGLE IMPLEMENTER so what gives?! */
     _extension( 10,ANGLE,base_vertex_base_instance, GLES300,    None) // #???
     #endif
+    _extension( 11,ANGLE,compressed_texture_etc,    GLES200,    None) // #???
 } namespace APPLE {
     #ifdef MAGNUM_TARGET_GLES2
-    _extension( 11,APPLE,framebuffer_multisample,   GLES200, GLES300) // #78
+    _extension( 12,APPLE,framebuffer_multisample,   GLES200, GLES300) // #78
     #endif
-    _extension( 12,APPLE,texture_format_BGRA8888,   GLES200,    None) // #79
+    _extension( 13,APPLE,texture_format_BGRA8888,   GLES200,    None) // #79
     #ifdef MAGNUM_TARGET_GLES2
-    _extension( 13,APPLE,texture_max_level,         GLES200, GLES300) // #80
+    _extension( 14,APPLE,texture_max_level,         GLES200, GLES300) // #80
     #endif
-    _extension( 14,APPLE,clip_distance,             GLES200,    None) // #193
+    _extension( 15,APPLE,clip_distance,             GLES200,    None) // #193
 } namespace ARM {
     #ifdef MAGNUM_TARGET_GLES2
-    _extension( 15,ARM,rgba8,                       GLES200, GLES300) // #82
+    _extension( 16,ARM,rgba8,                       GLES200, GLES300) // #82
     #endif
-    _extension( 16,ARM,shader_framebuffer_fetch,    GLES200,    None) // #165
-    _extension( 17,ARM,shader_framebuffer_fetch_depth_stencil, GLES200, None) // #166
+    _extension( 17,ARM,shader_framebuffer_fetch,    GLES200,    None) // #165
+    _extension( 18,ARM,shader_framebuffer_fetch_depth_stencil, GLES200, None) // #166
 } namespace EXT {
     _extension( 19,EXT,texture_filter_anisotropic,  GLES200,    None) // #41
     #ifdef MAGNUM_TARGET_GLES2
diff --git a/src/Magnum/GL/Implementation/compressedPixelFormatMapping.hpp b/src/Magnum/GL/Implementation/compressedPixelFormatMapping.hpp
index 9365a1817..016c53f14 100644
--- a/src/Magnum/GL/Implementation/compressedPixelFormatMapping.hpp
+++ b/src/Magnum/GL/Implementation/compressedPixelFormatMapping.hpp
@@ -52,7 +52,6 @@ _s(Bc6hRGBSfloat)
 _s(Bc7RGBAUnorm)
 _s(Bc7RGBASrgb)
 #endif
-#ifndef MAGNUM_TARGET_GLES2
 _c(EacR11Unorm, R11Eac)
 _c(EacR11Snorm, SignedR11Eac)
 _c(EacRG11Unorm, RG11Eac)
@@ -63,18 +62,6 @@ _c(Etc2RGB8A1Unorm, RGB8PunchthroughAlpha1Etc2)
 _c(Etc2RGB8A1Srgb, SRGB8PunchthroughAlpha1Etc2)
 _c(Etc2RGBA8Unorm, RGBA8Etc2Eac)
 _c(Etc2RGBA8Srgb, SRGB8Alpha8Etc2Eac)
-#else
-_s(EacR11Unorm)
-_s(EacR11Snorm)
-_s(EacRG11Unorm)
-_s(EacRG11Snorm)
-_s(Etc2RGB8Unorm)
-_s(Etc2RGB8Srgb)
-_s(Etc2RGB8A1Unorm)
-_s(Etc2RGB8A1Srgb)
-_s(Etc2RGBA8Unorm)
-_s(Etc2RGBA8Srgb)
-#endif
 _c(Astc4x4RGBAUnorm, RGBAAstc4x4)
 _c(Astc4x4RGBASrgb, SRGB8Alpha8Astc4x4)
 _c(Astc4x4RGBAF, RGBAAstc4x4)
diff --git a/src/Magnum/GL/PixelFormat.cpp b/src/Magnum/GL/PixelFormat.cpp
index 155629a41..9b869ba85 100644
--- a/src/Magnum/GL/PixelFormat.cpp
+++ b/src/Magnum/GL/PixelFormat.cpp
@@ -481,7 +481,6 @@ Debug& operator<<(Debug& debug, const CompressedPixelFormat value) {
         _c(RGBABptcUnorm)
         _c(SRGBAlphaBptcUnorm)
         #endif
-        #ifndef MAGNUM_TARGET_GLES2
         _c(RGB8Etc2)
         _c(SRGB8Etc2)
         _c(RGB8PunchthroughAlpha1Etc2)
@@ -492,7 +491,6 @@ Debug& operator<<(Debug& debug, const CompressedPixelFormat value) {
         _c(SignedR11Eac)
         _c(RG11Eac)
         _c(SignedRG11Eac)
-        #endif
         _c(RGBS3tcDxt1)
         _c(SRGBS3tcDxt1)
         _c(RGBAS3tcDxt1)
diff --git a/src/Magnum/GL/PixelFormat.h b/src/Magnum/GL/PixelFormat.h
index 11902026b..0e4e1f984 100644
--- a/src/Magnum/GL/PixelFormat.h
+++ b/src/Magnum/GL/PixelFormat.h
@@ -885,98 +885,166 @@ enum class CompressedPixelFormat: GLenum {
     #endif
     #endif
 
-    #ifndef MAGNUM_TARGET_GLES2
     /**
      * ETC2 compressed RGB, normalized unsigned. **Available only on 2D, 2D
      * array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      on OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     RGB8Etc2 = GL_COMPRESSED_RGB8_ETC2,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    RGB8Etc2 = 0x9274,
+    #endif
 
     /**
      * ETC2 compressed sRGB, normalized unsigned. **Available only on 2D, 2D
      * array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     SRGB8Etc2 = GL_COMPRESSED_SRGB8_ETC2,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    SRGB8Etc2 = 0x9275,
+    #endif
 
     /**
      * ETC2 compressed RGB with punchthrough (single-bit) alpha, normalized
      * unsigned. **Available only on 2D, 2D array, cube map and cube map array
      * textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     RGB8PunchthroughAlpha1Etc2 = GL_COMPRESSED_RGB8_PUNCHTHROUGH_ALPHA1_ETC2,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    RGB8PunchthroughAlpha1Etc2 = 0x9276,
+    #endif
 
     /**
      * ETC2 compressed sRGB with punchthrough (single-bit) alpha, normalized
      * unsigned. **Available only on 2D, 2D array, cube map and cube map array
      * textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     SRGB8PunchthroughAlpha1Etc2 = GL_COMPRESSED_SRGB8_PUNCHTHROUGH_ALPHA1_ETC2,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    SRGB8PunchthroughAlpha1Etc2 = 0x9277,
+    #endif
 
     /**
      * ETC2/EAC compressed RGBA, normalized unsigned. **Available only on 2D,
      * 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     RGBA8Etc2Eac = GL_COMPRESSED_RGBA8_ETC2_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    RGBA8Etc2Eac = 0x9278,
+    #endif
 
     /**
      * ETC2/EAC compressed sRGB with alpha, normalized unsigned. **Available
      * only on 2D, 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     SRGB8Alpha8Etc2Eac = GL_COMPRESSED_SRGB8_ALPHA8_ETC2_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    SRGB8Alpha8Etc2Eac = 0x9279,
+    #endif
 
     /**
      * EAC compressed red channel, normalized unsigned. **Available only on 2D,
      * 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     R11Eac = GL_COMPRESSED_R11_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    R11Eac = 0x9270,
+    #endif
 
     /**
      * EAC compressed red channel, normalized signed. **Available only on 2D,
      * 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     SignedR11Eac = GL_COMPRESSED_SIGNED_R11_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    SignedR11Eac = 0x9271,
+    #endif
 
     /**
      * EAC compressed red and green channel, normalized unsigned. **Available
      * only on 2D, 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     RG11Eac = GL_COMPRESSED_RG11_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    RG11Eac = 0x9272,
+    #endif
 
     /**
      * EAC compressed red and green channel, normalized signed. **Available
      * only on 2D, 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     SignedRG11Eac = GL_COMPRESSED_SIGNED_RG11_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    SignedRG11Eac = 0x9273,
     #endif
 
     /**
diff --git a/src/Magnum/GL/Test/PixelFormatTest.cpp b/src/Magnum/GL/Test/PixelFormatTest.cpp
index bf6dcf58b..173f0d074 100644
--- a/src/Magnum/GL/Test/PixelFormatTest.cpp
+++ b/src/Magnum/GL/Test/PixelFormatTest.cpp
@@ -441,12 +441,12 @@ void PixelFormatTest::mapCompressedFormatUnsupported() {
     #endif
 
     #ifdef MAGNUM_TARGET_GLES2
-    CORRADE_VERIFY(!hasCompressedPixelFormat(Magnum::CompressedPixelFormat::Etc2RGB8Unorm));
+    CORRADE_VERIFY(!hasCompressedPixelFormat(Magnum::CompressedPixelFormat::Astc3x3x3RGBAUnorm));
 
     std::ostringstream out;
     Error redirectError{&out};
-    compressedPixelFormat(Magnum::CompressedPixelFormat::Etc2RGB8Unorm);
-    CORRADE_COMPARE(out.str(), "GL::compressedPixelFormat(): format CompressedPixelFormat::Etc2RGB8Unorm is not supported on this target\n");
+    compressedPixelFormat(Magnum::CompressedPixelFormat::Astc3x3x3RGBAUnorm);
+    CORRADE_COMPARE(out.str(), "GL::compressedPixelFormat(): format CompressedPixelFormat::Astc3x3x3RGBAUnorm is not supported on this target\n");
     #elif !defined(MAGNUM_TARGET_GLES)
     CORRADE_VERIFY(!hasCompressedPixelFormat(Magnum::CompressedPixelFormat::PvrtcRGB2bppUnorm));
 
@@ -490,12 +490,12 @@ void PixelFormatTest::mapCompressedTextureFormatUnsupported() {
     #endif
 
     #ifdef MAGNUM_TARGET_GLES2
-    CORRADE_VERIFY(!hasTextureFormat(Magnum::CompressedPixelFormat::Etc2RGB8Unorm));
+    CORRADE_VERIFY(!hasTextureFormat(Magnum::CompressedPixelFormat::Astc3x3x3RGBAUnorm));
 
     std::ostringstream out;
     Error redirectError{&out};
-    textureFormat(Magnum::CompressedPixelFormat::Etc2RGB8Unorm);
-    CORRADE_COMPARE(out.str(), "GL::textureFormat(): format CompressedPixelFormat::Etc2RGB8Unorm is not supported on this target\n");
+    textureFormat(Magnum::CompressedPixelFormat::Astc3x3x3RGBAUnorm);
+    CORRADE_COMPARE(out.str(), "GL::textureFormat(): format CompressedPixelFormat::Astc3x3x3RGBAUnorm is not supported on this target\n");
     #elif !defined(MAGNUM_TARGET_GLES)
     CORRADE_VERIFY(!hasTextureFormat(Magnum::CompressedPixelFormat::PvrtcRGB2bppUnorm));
 
diff --git a/src/Magnum/GL/TextureFormat.cpp b/src/Magnum/GL/TextureFormat.cpp
index 435eabed3..38d0d3457 100644
--- a/src/Magnum/GL/TextureFormat.cpp
+++ b/src/Magnum/GL/TextureFormat.cpp
@@ -183,7 +183,6 @@ Debug& operator<<(Debug& debug, const TextureFormat value) {
         _c(CompressedRGBABptcUnorm)
         _c(CompressedSRGBAlphaBptcUnorm)
         #endif
-        #ifndef MAGNUM_TARGET_GLES2
         _c(CompressedRGB8Etc2)
         _c(CompressedSRGB8Etc2)
         _c(CompressedRGB8PunchthroughAlpha1Etc2)
@@ -194,7 +193,6 @@ Debug& operator<<(Debug& debug, const TextureFormat value) {
         _c(CompressedSignedR11Eac)
         _c(CompressedRG11Eac)
         _c(CompressedSignedRG11Eac)
-        #endif
         _c(CompressedRGBS3tcDxt1)
         _c(CompressedSRGBS3tcDxt1)
         _c(CompressedRGBAS3tcDxt1)
diff --git a/src/Magnum/GL/TextureFormat.h b/src/Magnum/GL/TextureFormat.h
index b7a36bb0c..dfcb4f882 100644
--- a/src/Magnum/GL/TextureFormat.h
+++ b/src/Magnum/GL/TextureFormat.h
@@ -1306,98 +1306,166 @@ enum class TextureFormat: GLenum {
     #endif
     #endif
 
-    #ifndef MAGNUM_TARGET_GLES2
     /**
      * ETC2 compressed RGB, normalized unsigned. **Available only on 2D, 2D
      * array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedRGB8Etc2 = GL_COMPRESSED_RGB8_ETC2,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedRGB8Etc2 = 0x9274,
+    #endif
 
     /**
      * ETC2 compressed sRGB, normalized unsigned. **Available only on 2D, 2D
      * array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedSRGB8Etc2 = GL_COMPRESSED_SRGB8_ETC2,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedSRGB8Etc2 = 0x9275,
+    #endif
 
     /**
      * ETC2 compressed RGB with punchthrough (single-bit) alpha, normalized
      * unsigned. **Available only on 2D, 2D array, cube map and cube map array
      * textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedRGB8PunchthroughAlpha1Etc2 = GL_COMPRESSED_RGB8_PUNCHTHROUGH_ALPHA1_ETC2,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedRGB8PunchthroughAlpha1Etc2 = 0x9276,
+    #endif
 
     /**
      * ETC2 compressed sRGB with punchthrough (single-bit) alpha, normalized
      * unsigned. **Available only on 2D, 2D array, cube map and cube map array
      * textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedSRGB8PunchthroughAlpha1Etc2 = GL_COMPRESSED_SRGB8_PUNCHTHROUGH_ALPHA1_ETC2,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedSRGB8PunchthroughAlpha1Etc2 = 0x9277,
+    #endif
 
     /**
      * ETC2/EAC compressed RGBA, normalized unsigned. **Available only on 2D,
      * 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedRGBA8Etc2Eac = GL_COMPRESSED_RGBA8_ETC2_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedRGBA8Etc2Eac = 0x9278,
+    #endif
 
     /**
      * ETC2/EAC compressed sRGB with alpha, normalized unsigned. **Available
      * only on 2D, 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedSRGB8Alpha8Etc2Eac = GL_COMPRESSED_SRGB8_ALPHA8_ETC2_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedSRGB8Alpha8Etc2Eac = 0x9279,
+    #endif
 
     /**
      * EAC compressed red channel, normalized unsigned. **Available only on 2D,
      * 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedR11Eac = GL_COMPRESSED_R11_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedR11Eac = 0x9270,
+    #endif
 
     /**
      * EAC compressed red channel, normalized signed. **Available only on 2D,
      * 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedSignedR11Eac = GL_COMPRESSED_SIGNED_R11_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedSignedR11Eac = 0x9271,
+    #endif
 
     /**
      * EAC compressed red and green channel, normalized unsigned. **Available
      * only on 2D, 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedRG11Eac = GL_COMPRESSED_RG11_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedRG11Eac = 0x9272,
+    #endif
 
     /**
      * EAC compressed red and green channel, normalized signed. **Available
      * only on 2D, 2D array, cube map and cube map array textures.**
      * @requires_gl43 Extension @gl_extension{ARB,ES3_compatibility}
-     * @requires_gles30 ETC2 texture compression is not available in OpenGL ES
-     *      2.0.
+     * @requires_gles30 Extension @m_class{m-doc-external} [ANGLE_compressed_texture_etc](https://chromium.googlesource.com/angle/angle/+/master/extensions/ANGLE_compressed_texture_etc.txt)
+     *      in OpenGL ES 2.0.
+     * @requires_webgl_extension Extension @webgl_extension{WEBGL,compressed_texture_etc}
      */
+    #ifndef MAGNUM_TARGET_GLES2
     CompressedSignedRG11Eac = GL_COMPRESSED_SIGNED_RG11_EAC,
+    #else
+    /* ANGLE_compressed_texture_etc is not listed in gl_angle_ext.xml so we
+       have to hardcode; on ES3 (and thus WebGL 2) it's in the core header */
+    CompressedSignedRG11Eac = 0x9273,
     #endif
 
     /**
diff --git a/src/MagnumExternal/OpenGL/GLES2/Emscripten/extensions.txt b/src/MagnumExternal/OpenGL/GLES2/Emscripten/extensions.txt
index dfb959d2b..1c9250f82 100644
--- a/src/MagnumExternal/OpenGL/GLES2/Emscripten/extensions.txt
+++ b/src/MagnumExternal/OpenGL/GLES2/Emscripten/extensions.txt
@@ -42,6 +42,10 @@ extension KHR_blend_equation_advanced optional
 extension ANGLE_multi_draw                      optional
 # Base for WEBGL_{multi_,}draw_instanced_base_vertex_base_instance
 extension ANGLE_base_vertex_base_instance       optional
+# Base for WEBGL_compressed_texture_etc. Haha you wish, OF COURSE it's not
+# included in gl_angle_ext.xml so I have to hardcode the numeric values there.
+# GOOGLE!!!
+# extension ANGLE_compressed_texture_etc        optional
 
 begin functions blacklist
     # Not present in WEBGL_blend_equation_advanced_coherent
diff --git a/src/MagnumExternal/OpenGL/GLES2/extensions.txt b/src/MagnumExternal/OpenGL/GLES2/extensions.txt
index 8dc4dae15..fff42a6ef 100644
--- a/src/MagnumExternal/OpenGL/GLES2/extensions.txt
+++ b/src/MagnumExternal/OpenGL/GLES2/extensions.txt
@@ -113,6 +113,9 @@ extension OES_draw_elements_base_vertex         optional
 
 # From the gl_angle_ext file
 extension ANGLE_multi_draw                      optional
+# Haha you wish, OF COURSE it's not included in gl_angle_ext.xml so I have to
+# hardcode the numeric values there. GOOGLE!!!
+# extension ANGLE_compressed_texture_etc        optional
 
 begin functions blacklist
     # These are listed in EXT_separate_shader_objects with only the comment
diff --git a/src/MagnumExternal/OpenGL/GLES3/Emscripten/extensions.txt b/src/MagnumExternal/OpenGL/GLES3/Emscripten/extensions.txt
index b51f38b25..47594844b 100644
--- a/src/MagnumExternal/OpenGL/GLES3/Emscripten/extensions.txt
+++ b/src/MagnumExternal/OpenGL/GLES3/Emscripten/extensions.txt
@@ -31,6 +31,9 @@ extension KHR_blend_equation_advanced           optional
 # From the gl_angle_ext file, base for WEBGL_multi_draw etc
 extension ANGLE_multi_draw                      optional
 extension ANGLE_base_vertex_base_instance       optional
+# Haha you wish, OF COURSE it's not included in gl_angle_ext.xml. But
+# fortunately ES3 defines these constants on its own so I don't need it anyway.
+# extension ANGLE_compressed_texture_etc        optional
 
 begin functions blacklist
     # Not present in WEBGL_blend_equation_advanced_coherent
diff --git a/src/MagnumExternal/OpenGL/GLES3/extensions.txt b/src/MagnumExternal/OpenGL/GLES3/extensions.txt
index 9183fe213..a18dada00 100644
--- a/src/MagnumExternal/OpenGL/GLES3/extensions.txt
+++ b/src/MagnumExternal/OpenGL/GLES3/extensions.txt
@@ -93,5 +93,8 @@ extension OVR_multiview2                            optional
 # From the gl_angle_ext file
 extension ANGLE_multi_draw                          optional
 extension ANGLE_base_vertex_base_instance           optional
+# Haha you wish, OF COURSE it's not included in gl_angle_ext.xml. But
+# fortunately ES3 defines these constants on its own so I don't need it anyway.
+# extension ANGLE_compressed_texture_etc            optional
 
 # kate: hl python