I’ll start with GTA: Chinatown Wars and Animal Crossing: New Leaf.
Let me know your suggestions!
Pokemon Red & Blue are amazing to emulate. Old but gold.
There are many Pokemon ROM hacks that you could play as well. Renegade Platinum is my all time fav
2D games that don’t use L/R buttons are very playable without a controller.
Older systems that didn’t have L/R buttons in their controllers seem to work well
Anything from NES, Sega Master System, Sega Genesis/Mega Drive, Gameboy/Gameboy Color and Turbo Grafx 16 tends to work well.
I think most turn based RPGs play great on touch devices. If you don’t have a controller, it’s fine because fine-tuned controls usually aren’t that necessary. They’re also usually meant to be picked up and set down, meaning you can grind a few levels while you’re just chilling on your phone or something.
i’d suggest any touch only ds games. ace attorney is particularly good.