Burnout 2, BITCH!
Sorry, it sounded like it had more "zazz" that way. But you can't go wrong with Burnout 2. I think it's one of the only arcade racers I've played that I've put 40 hours into. And I am so anticipating Burnout 3. A little over a month away... then the mayhem begins all over again.
Also, if you still have a DC, try to find San Francisco Rush 2049, if you haven't picked it up yet. It's very addictive and very fun.
For PS2, you may want to give Ridge Racer V a try. Yeah, it's pretty much 4 years old, and it's not that long, but it's still pretty fun and an enjoyable arcade racer.
As for which version of B2 to get out of GC or PS2, get the GC version, as it has 15 more crash junctions. The Gamecube version is the toughest to find, since it was only sold in games stores such as Gamestop and EB (never saw a copy of the GC version at a Best Buy, Circuit City or Target).