This app was mentioned in 4 comments, with an average of 2.75 upvotes
The Play Store on the Android TV actually shows controller supported games. Not sure why they do not do the same on Android phones/tablets
not sure is this is being updated
https://play.google.com/store/apps/details?id=com.offworldsoftware.androidgamepadgames
you might find something interesting here:
https://play.google.com/store/apps/details?id=com.offworldsoftware.androidgamepadgames&hl=en
Thanks for tip of Gamepad Games.
Here's the link
https://play.google.com/store/apps/details?id=com.offworldsoftware.androidgamepadgames