Favorite games:
Armored Core 3 / Silent Line, since they're one of the best mecha games out there, with decent graphics, lots of customization, and a level of action I can actually succeed at (I generally suck at most games).
Robotech: Battlecry because it's like being in the Robotech series, my favorite cartoon as a kid.
Tekken 3 & 5 - an awesome fighting game, despite the incredibly cheapass end boss (fireballs, stuns, teleports - bad enough when it's Akuma in SF, but this is TEKKEN for fuck's sake!).
Soul Calibur series, awesome fighting game that I've enjoyed since the first installment, though I need to upgrade to a new system to play 4 and 5.
Resident Evil 4 - great graphics even on the PS2, lots of fun to play (and I don't mind the 'Press X to Not Die' events) and I've replayed it several times.
Persona 3 & 4: quirky but entertaining. They're something of a guilty pleasure but honestly I enjoy them a lot more than 1 or 2, which were at times rather punishing.
Final Fantasy XII: probably my favorite Final Fantasy. I really like the gambit system, since it takes the grind out of grinding, and it doesn't force in a stupid love story. I also like that while the hero of the story is Ashe, the perspective character is Vaan. I think it adds something to it, maybe it keeps the story from being purely about vengeance, which is initially all that Ashe was after.