There are emulators out there so you can play PlayStation 1 games on your phone. I'm still looking for one, anyone let me know when you found a good one.
And once you got one, I would recommend getting Grandia. It's a turn based RPG, but unique in its kind. You can position yourself on the battlefield to avoid damage to all characters, perform abilities to rob enemies of an attack or stall them, learn new abilities, get new gear, and most importantly, enjoy the amazing story and music that comes along with it!
And when you're done with it, you can move over to Grandia 2, but that's on the PlayStation 2. There's also Grandia 3, which doesn't have an equally good story or music, but the combat is more challenging.