Ace Combat 4, 5 and Zero, Burnout 3 and Revenge, Call of Duty: Finest Hour, Big Red One, 3 and World at War: Final Fronts, Final Fantasy X, XII and Dirge of Cerberus, GUN, Jak X: Combat Racing, Kingdom Hearts, Chain of Memories and II, Max Payne, Medal of Honor: Frontline, Rising Sun and Vanguard, Mercenaries Playground and Destruction and World in Flames, Midnight Club 1-3 and DUB Edition: Remix, Naruto Uzumaki Chronicals 1 and 2 and Ultimate Ninja 1-3, Need for Speed Underground 2, Most Wanted and Carbon, Ratchet and Clank: Up Your Arsenal and Deadlocked, Resident Evil: Outbreak, File #2 and 4, Shadow the Hedgehog, Sly 1-3,  Sonic Riders, Star Wars Battlefront II, Starwars: The Forced Unleashed, LEGO starwars II: The Original Trilogy, Tony Hawk's Pro Skater 4 and Underground 2, Metroid Prime, Soul Calibur II.... After typing this up, I realized that this sums up most of my gen 6 collection....

Given that my "newest" console is my PS2 (I have a Wii, but the disc drive doesn't work anymore, so can't play any of my games on it now... ), I've got quite a collection of games for it, and have quite a few favorites.
A lot of them are RPGs, like Final Fantasy XII (easily my favorite Final Fantasy game so far) and Persona 4, but I have a good amount of sports games too, plus a few Star Wars games (with Battlefront 2 being my all time favorite Star Wars game, and my favorite shooter game), The Legend of Spyro trilogy, Shadow of the Colossus, and a couple other random games that are fun to play.