Depends on what you like. If you like RPG's, I'd suggest things like Final Fantasy XIII and Dragon Age. If you're into shooters, basically any Call of Duty, Battlefield, or the new Medal of Honor. If you like horror, Silent Hill, F.E.A.R., and Dead Space come to mind. If you want free-roaming sandbox games, I'd suggest Grand Theft Auto, Prototype, inFAMOUS, or things like them. But it all depends on what you're interested in. Many different games are out there, man.
Final fantasy, lego harry potter, batman arkham city and arkham asylume.