diff --git a/doc/changelog.dox b/doc/changelog.dox
index e62015c2b..09a98c427 100644
--- a/doc/changelog.dox
+++ b/doc/changelog.dox
@@ -54,6 +54,8 @@ See also:
     code paths were removed.
 -   Support for Android API versions older than 14 (i.e., before Android 4.0,
     which is from 2011) has been dropped from @ref Platform::AndroidApplication.
+-   Support for SDL2 older than 2.0.6 (released in 2017) has been dropped from
+    @ref Platform::Sdl2Application.
 
 @subsection changelog-latest-new New features
 
diff --git a/src/Magnum/Platform/Sdl2Application.cpp b/src/Magnum/Platform/Sdl2Application.cpp
index 626c18376..73f794977 100644
--- a/src/Magnum/Platform/Sdl2Application.cpp
+++ b/src/Magnum/Platform/Sdl2Application.cpp
@@ -343,9 +343,8 @@ Vector2 Sdl2Application::dpiScalingInternal(const Implementation::Sdl2DpiScaling
     return dpiScaling;
 
     /* Take a physical display DPI. On Linux it gets the (usually very off)
-       physical value from X11. Also only since SDL 2.0.4. */
+       physical value from X11. */
     #elif defined(CORRADE_TARGET_UNIX)
-    #if SDL_VERSION_ATLEAST(2, 0, 4)
     Vector2 dpi;
     if(SDL_GetDisplayDPI(0, nullptr, &dpi.x(), &dpi.y()) == 0) {
         const Vector2 dpiScaling{dpi/96.0f};
@@ -354,9 +353,6 @@ Vector2 Sdl2Application::dpiScalingInternal(const Implementation::Sdl2DpiScaling
     }
 
     Warning{} << "Platform::Sdl2Application: can't get physical display DPI, falling back to no scaling:" << SDL_GetError();
-    #else
-    Debug{verbose} << "Platform::Sdl2Application: sorry, physical DPI scaling only available on SDL 2.0.4+";
-    #endif
     return Vector2{1.0f};
 
     /* HOWEVER, on Windows it gets the virtual DPI scaling, which we don't
@@ -393,7 +389,7 @@ void Sdl2Application::setWindowTitle(const Containers::StringView title) {
     #endif
 }
 
-#if !defined(CORRADE_TARGET_EMSCRIPTEN) && SDL_MAJOR_VERSION*1000 + SDL_MINOR_VERSION*100 + SDL_PATCHLEVEL >= 2005
+#ifndef CORRADE_TARGET_EMSCRIPTEN
 void Sdl2Application::setWindowIcon(const ImageView2D& image) {
     Uint32 format; /** @todo handle sRGB differently? */
     switch(image.format()) {
@@ -540,14 +536,10 @@ bool Sdl2Application::tryCreate(const Configuration& configuration, const GLConf
     GLConfiguration::Flags glFlags = glConfiguration.flags();
     if((glFlags & GLConfiguration::Flag::GpuValidation) || (_context->configurationFlags() & GL::Context::Configuration::Flag::GpuValidation))
         glFlags |= GLConfiguration::Flag::Debug;
-    #if SDL_MAJOR_VERSION*1000 + SDL_MINOR_VERSION*100 + SDL_PATCHLEVEL >= 2006
     else if((glFlags & GLConfiguration::Flag::GpuValidationNoError) || (_context->configurationFlags() & GL::Context::Configuration::Flag::GpuValidationNoError))
         glFlags |= GLConfiguration::Flag::NoError;
-    #endif
 
-    #if SDL_MAJOR_VERSION*1000 + SDL_MINOR_VERSION*100 + SDL_PATCHLEVEL >= 2006
     SDL_GL_SetAttribute(SDL_GL_CONTEXT_NO_ERROR, glFlags >= GLConfiguration::Flag::NoError);
-    #endif
 
     /* Set context version, if user-specified */
     if(glConfiguration.version() != GL::Version::None) {
diff --git a/src/Magnum/Platform/Sdl2Application.h b/src/Magnum/Platform/Sdl2Application.h
index 0424b14be..1813c4fdd 100644
--- a/src/Magnum/Platform/Sdl2Application.h
+++ b/src/Magnum/Platform/Sdl2Application.h
@@ -210,7 +210,8 @@ final package along with a PowerShell script for easy local installation.
 @section Platform-Sdl2Application-usage General usage
 
 This application library depends on the [SDL2](http://www.libsdl.org) library
-(Emscripten has it built in) and is built if `MAGNUM_WITH_SDL2APPLICATION` is
+version 2.0.6 and newer. On Emscripten, the builtin minimal SDL implementation
+is used. The application library is built if `MAGNUM_WITH_SDL2APPLICATION` is
 enabled when building Magnum. To use this library with CMake, request the
 `Sdl2Application` component of the `Magnum` package and link to the
 `Magnum::Sdl2Application` target:
@@ -338,11 +339,11 @@ an exit event for it, instead of doing the usual application exit. This would
 mean that if the application fails to set @ref ExitEvent::setAccepted() in an
 @ref exitEvent() override for some reason, pressing
 @m_class{m-label m-warning} **Ctrl** @m_class{m-label m-default} **C** would
-not terminate it either and you'd have to forcibly kill it instead. When using
-SDL >= 2.0.4, @ref Sdl2Application turns this behavior off, making
-@ref exitEvent() behave consistently with other application implementations
-such as @ref GlfwApplication. You can turn this behavior back on by enabling
-the [corresponding SDL hint](https://wiki.libsdl.org/SDL2/SDL_HINT_NO_SIGNAL_HANDLERS)
+not terminate it either and you'd have to forcibly kill it instead.
+@ref Sdl2Application turns this behavior off, making @ref exitEvent() behave
+consistently with other application implementations such as
+@ref GlfwApplication. You can turn this behavior back on by enabling the
+[corresponding SDL hint](https://wiki.libsdl.org/SDL2/SDL_HINT_NO_SIGNAL_HANDLERS)
 through an environment variable:
 
 @code{.sh}
@@ -404,12 +405,12 @@ the flag is not enabled, no canvas resizing is performed.
 
 For OpenGL ES, SDL2 defaults to a "desktop GLES" context of the system driver.
 Because Magnum has the opposite default behavior, if @ref MAGNUM_TARGET_GLES is
-not defined and SDL >= 2.0.6 is used, @ref Sdl2Application sets the
-`SDL_HINT_OPENGL_ES_DRIVER` hint to 1, forcing it to load symbols from a
-dedicated libGLES library instead, making SDL and Magnum consistently use the
-same OpenGL entrypoints. This change also allows @ref platforms-gl-es-angle "ANGLE"
-to be used on Windows simply by placing the corresponding `libEGL.dll` and
-`libGLESv2.dll` files next to the application executable.
+not defined, @ref Sdl2Application sets the `SDL_HINT_OPENGL_ES_DRIVER` hint to
+1, forcing it to load symbols from a dedicated libGLES library instead, making
+SDL and Magnum consistently use the same OpenGL entrypoints. This change also
+allows @ref platforms-gl-es-angle "ANGLE" to be used on Windows simply by
+placing the corresponding `libEGL.dll` and `libGLESv2.dll` files next to the
+application executable.
 
 @section Platform-Sdl2Application-dpi DPI awareness
 
@@ -874,7 +875,7 @@ class Sdl2Application {
          */
         void setWindowTitle(Containers::StringView title);
 
-        #if !defined(CORRADE_TARGET_EMSCRIPTEN) && (SDL_MAJOR_VERSION*1000 + SDL_MINOR_VERSION*100 + SDL_PATCHLEVEL >= 2005 || defined(DOXYGEN_GENERATING_OUTPUT))
+        #ifndef CORRADE_TARGET_EMSCRIPTEN
         /**
          * @brief Set window icon
          * @m_since{2020,06}
@@ -885,12 +886,11 @@ class Sdl2Application {
          * @ref PixelFormat::RGBA8Unorm or @ref PixelFormat::RGBA8Srgb formats.
          * Unlike @ref GlfwApplication::setWindowIcon(), SDL doesn't provide a
          * way to supply multiple images in different sizes.
-         * @note Available since SDL 2.0.5. Not available on
-         *      @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten", use
-         *      @cb{.html} <link rel="icon"> @ce in your HTML markup instead.
-         *      Although it's not documented in SDL itself, the function might
-         *      have no effect on macOS / Wayland, similarly to how
-         *      @ref GlfwApplication::setWindowIcon() behaves on those
+         * @note Not available on @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten",
+         *      use @cb{.html} <link rel="icon"> @ce in your HTML markup
+         *      instead. Although it's not documented in SDL itself, the
+         *      function might have no effect on macOS / Wayland, similarly to
+         *      how @ref GlfwApplication::setWindowIcon() behaves on those
          *      platforms.
          * @see @ref platform-windows-icon "Excecutable icon on Windows",
          *      @ref Trade::IcoImporter "IcoImporter"
@@ -1571,7 +1571,6 @@ class Sdl2Application::GLConfiguration: public GL::Context::Configuration {
              */
             ResetIsolation = SDL_GL_CONTEXT_RESET_ISOLATION_FLAG,
 
-            #if SDL_MAJOR_VERSION*1000 + SDL_MINOR_VERSION*100 + SDL_PATCHLEVEL >= 2006 || defined(DOXYGEN_GENERATING_OUTPUT)
             /**
              * Context without error reporting. Might result in better
              * performance, but situations that would have generated errors
@@ -1580,7 +1579,6 @@ class Sdl2Application::GLConfiguration: public GL::Context::Configuration {
              * flag is set or if the `--magnum-gpu-validation` @ref GL-Context-usage-command-line "command-line option"
              * is set to `no-error`.
              *
-             * @note Available since SDL 2.0.6.
              * @requires_gles Context flags are not available in WebGL.
              * @m_since_latest
              */
@@ -1588,7 +1586,6 @@ class Sdl2Application::GLConfiguration: public GL::Context::Configuration {
                handling manually. */
             NoError = 1ull << 32,
             #endif
-            #endif
 
             /**
              * @copydoc GL::Context::Configuration::Flag::QuietLog
@@ -1910,14 +1907,12 @@ class Sdl2Application::Configuration {
                 GLFW_FOCUSED (exposed as Focused) and GLFW_FOCUS_ON_SHOW (not
                 exposed) -- what's the relation? How to make these compatible? */
 
-            #if SDL_MAJOR_VERSION*1000 + SDL_MINOR_VERSION*100 + SDL_PATCHLEVEL >= 2005 || defined(DOXYGEN_GENERATING_OUTPUT)
             /**
              * Always on top
              * @m_since{2020,06}
              *
-             * @note Available since SDL 2.0.5, not available on
-             *      @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten". According to
-             *      SDL docs works only on X11.
+             * @note Not available on @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten".
+             *      According to SDL docs works only on X11.
              */
             AlwaysOnTop = SDL_WINDOW_ALWAYS_ON_TOP,
 
@@ -1925,9 +1920,8 @@ class Sdl2Application::Configuration {
              * Don't add the window to taskbar
              * @m_since{2020,06}
              *
-             * @note Available since SDL 2.0.5, not available on
-             *      @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten". According to
-             *      SDL docs works only on X11.
+             * @note Not available on @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten".
+             *      According to SDL docs works only on X11.
              */
             SkipTaskbar = SDL_WINDOW_SKIP_TASKBAR,
 
@@ -1935,9 +1929,8 @@ class Sdl2Application::Configuration {
              * Window should be treated as a utility window
              * @m_since{2020,06}
              *
-             * @note Available since SDL 2.0.5, not available on
-             *      @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten". According to
-             *      SDL docs works only on X11.
+             * @note Not available on @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten".
+             *      According to SDL docs works only on X11.
              */
             Utility = SDL_WINDOW_UTILITY,
 
@@ -1945,9 +1938,8 @@ class Sdl2Application::Configuration {
              * Window should be treated as a tooltip
              * @m_since{2020,06}
              *
-             * @note Available since SDL 2.0.5, not available on
-             *      @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten". According to
-             *      SDL docs works only on X11.
+             * @note Not available on @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten".
+             *      According to SDL docs works only on X11.
              */
             Tooltip = SDL_WINDOW_TOOLTIP,
 
@@ -1955,13 +1947,11 @@ class Sdl2Application::Configuration {
              * Window should be treated as a popup menu
              * @m_since{2020,06}
              *
-             * @note Available since SDL 2.0.5, not available on
-             *      @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten". According to
-             *      SDL docs works only on X11.
+             * @note Not available on @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten".
+             *      According to SDL docs works only on X11.
              */
             PopupMenu = SDL_WINDOW_POPUP_MENU,
             #endif
-            #endif
 
             /**
              * Do not create any GPU context. Use together with
@@ -1986,12 +1976,11 @@ class Sdl2Application::Configuration {
              */
             OpenGL = SDL_WINDOW_OPENGL,
 
-            #if !defined(CORRADE_TARGET_EMSCRIPTEN) && (SDL_MAJOR_VERSION*1000 + SDL_MINOR_VERSION*100 + SDL_PATCHLEVEL >= 2006 || defined(DOXYGEN_GENERATING_OUTPUT))
+            #ifndef CORRADE_TARGET_EMSCRIPTEN
             /**
              * Request a window for use with Vulkan. Useful in combination with
              * @ref WindowFlag::Contextless.
-             * @note Available since SDL 2.0.6, not available on
-             *      @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten".
+             * @note Not available on @ref CORRADE_TARGET_EMSCRIPTEN "Emscripten".
              * @m_since{2019,10}
              */
             Vulkan = SDL_WINDOW_VULKAN