diff --git a/app/src/main/AndroidManifest.xml b/app/src/main/AndroidManifest.xml
index 432833bb..0e189051 100644
--- a/app/src/main/AndroidManifest.xml
+++ b/app/src/main/AndroidManifest.xml
@@ -52,7 +52,12 @@
                 <data android:scheme="file"/>
                 <data android:scheme="content"/>
 
-                <data android:mimeType="application/x-shockwave-flash"/>
+                <!--
+                Ideally "application/x-shockwave-flash" would be
+                used here, but Android doesn't recognize many
+                downloaded .swf files as such for some reason... :/
+                -->
+                <data android:mimeType="*/*"/>
 
                 <data android:host="*" />
                 <data android:pathPattern=".*.swf" />
diff --git a/app/src/main/java/rs/ruffle/SelectSwfScreen.kt b/app/src/main/java/rs/ruffle/SelectSwfScreen.kt
index 421c3dee..81692123 100644
--- a/app/src/main/java/rs/ruffle/SelectSwfScreen.kt
+++ b/app/src/main/java/rs/ruffle/SelectSwfScreen.kt
@@ -181,7 +181,10 @@ fun PickSwfButton(onSelect: (uri: Uri) -> Unit) {
     OutlinedButton(
         onClick = {
             launcher.launch(
-                "application/x-shockwave-flash"
+                // Ideally "application/x-shockwave-flash" would be
+                // used here, but Android doesn't recognize many
+                // downloaded .swf files as such for some reason... :/
+                "*/*"
             )
         },
         modifier = Modifier