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And as for GameCube, it should be F-Zero GX.
PS2: Gran Turismo 3
XBOX: Project Gotham Racing 2
Gamecube: Mario Kart: Double Dash
Overall: Gran Turismo 3
But as for driving, it has to be Driver. I just love those car chases, they're so much fun and you can make good movies out of those replays thanks to the editor. Can't wait for Driver 3, as I don't expect it to be similar to Vice City at all, Vice City is a crime sim, whereas Driver 3 will be a car chase sim. Which is why when all the critics go 'oh, it doesn't allow you the same freedom of Vice City so it's crap' I will begin to get annoyed.
:)
And Driver / 2 because it was such fun as well, great handbrake-turns with screeching tires and hub-caps rolling off.
Anyway the best driving game i've ever played is Need for Speed : Underground