Far as PS2 goes, the Ratchet and Clank series is highly recommended if you enjoy platformer/adventure type games.As well as the first 2 Jak and Daxter games. Psychonauts is also a definite must if you haven't picked it up for the PC.

All of which, I think, can also be gotten from the online store for your PS3, if you get one. In that case, I recommend both Infamous and Infamous 2, although they might be a tad violent, they are still good platform-y RPG-y fun.

As far as JRPGs, no matter if you have either a PS2 or a PS3, do yourself a big favor, and pick up Persona 3 FES. For the PS2 side of things, Kingdom Hearts, Wild Arms, Final Fantasy 7,8, and 9 (though 8 can be given a miss, kinda disappointing IMHO). That should keep you busy for the foreseeable future...