Some ones That I've been fond of over the years:
Star Wars: Racer- Podracing is where it's at! The first game was pretty good. Racer's Revenge, though, is better.
Burnout- Really good white-knuckle, seat-of-your-pants racing series. 3 was probably the best. Though I'll admit to not having played Paradise.
Split/Second- Imagine if Michael Bay made a racing game, and you'de have a pretty good idea of what this is like, as you can trigger stunts and explosions to throw off your opponents.
Skydrift- A combat racing game, where planes replace cars.
Gas Guzzlers Extreme- A good combat racing game in the vein of Deathtrack, with some Mario Kart sensibilities thrown in.
Redout- A Sci-Fi racer in the vein of SW: Racer, and even F-Zero.