I'd say San Andreas is a better game than Vice City, just because running around "doing stuff" is most of the GTA games for me, and you can just flat out do more in SA. And being a teenager in an urban area of California (not LA) in the early 90s, San Andreas holds a bit of nostalgia for me.
Anyway, if you like fighting games:
Guilty Gear XX
Virtua Fighter 4 Evolution
Street Fighter Anniversary/Third Strike
Soul Calibur 2
Each one is just so very very good in its own ways. Just in those four there's literally an unending amount of playtime if you get some friends into them.
Platform-ish:
Sly Cooper 1-2
Ratchet and Clank 2-3 (1 was good, but the others are just sooooo much better)
I'm not a fan of the Jak and Daxter series, but some are.
I second just about every recommendation in this thread, especially Ozy's. Man knows what he's talking about.
EDIT: Christ, people! I forgot them too.
RPG: SUIKODEN SERIES. If you can find 1 and 2, 3 should be easy enough to get hold of, and 4 is coming out soon, I think.