I love lists!
2600:
Space Invaders,
Combat,
Double Dragon,
NES:
Double Dragon II
DuckTales,
Metroid,
SNES:
Contra III (or, where I'm from "Super Probotector: The Alien Rebels", cough),
NBA Jam,
Super Metroid,
N64:
Goldeneye,
Ocarina of Time,
Mario Kart 64,
Game Cube:
Metroid Prime,
Resident Evil 4,
SSB; Melee
SMS:
R-Type,
Batman Returns,
Wonder Boy,
Mega Drive:
Sonic 3 & Knuckles,
Maximum Carnage,
Mortal Kombat 3,
PSX:
NFS III: Hot Pursuit,
Twisted Metal,
Tekken 3,
PS2:
Burnout 3: Takedown,
GTA: San Andreas,
Star Wars Battlefront
Xbox:
Evil Dead; Regeneration
(I think that's all I own other than Red Faction II, which I hate)
Xbox 360:
The Orange Box,
Batman Arkham Asylum,
Far Cry 2
GB:
Metroid II,
Pokemon Blue/Red,
Tetris,
GBA:
Sonic Advance,
Metroid Fusion,
Advance Wars,
NDS:
Castlevania: Dawn of Sorrow,
Advance Wars DS,
Mario Kart DS,
And for the consoles my partner owns:
7800:
Dig Dug,
Xevious,
Centipede,
Wii:
Metroid Prime 3,
Super Paper Mario,
Mario Kart Wii,