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.
Thank you for your suggestion! They're great for when you don't have a controller (with you), but as I bought the Gamesir X2 Pro just recently, I would even prefer suggestions for games that are specifically not touch only :)