There isn't a game compatibility list. However, you can look at the GitHub issues for some game specific problems, there aren't many listed currently.
I'm glad to hear it's working so well.
You need Microsoft's C++ runtime: https://aka.ms/vc14/vc_redist.x64.exe
I've tried in the past to have the mouse control the analog stick. I've never gotten it to feel very good though, maybe one day if someone can figure out the proper math for it.
Not today, perhaps in the future if someone takes on that task. It already works with Linux ARM; it just needs an Android frontend.
