JRPGs? There are tons of good ones on PSX and SNES (Final Fantasy, Chrono Trigger, Chrono Cross, Lunar, Legend of Dragoon, Legend of Legaia, Secret of Mana, and more), the Golden Sun games on GBA and DS, Breath of Fire games on SNES/GBA/PSX, Dragon Quest games on DS (and other systems too but DQ4-6 first came to the west on DS IIRC), the Mario & Luigi games.
The Ace Attorney games work well with touchscreen controls but there are native Android versions of most of them.
I'd recommend Fire Emblem on the GBA. It's a turn based SRPG, so you can still play the game just fine even if you're using touch screen controls. Also you can play it in short bursts if you have to which works well on a phone.