Well, obviously I liked the Matrix Reloaded chase on the highway, though the second half had Trinity and the Keymaker on a motorbike, so I guess it's only technically half  a car chase scene.  But there's lots of good crashes in there, even if all the wrecked cars were supplied by GM and you can see that they're hollowed out shells only if you watch closely.
I thought the chase at the end of Bad Boys, with the Porsche vs. the Cobra, was kind of cool, though it was only in a straight line and ended with the Cobra smashed to bits (ever seen a grown man cry?)  The Bad Boys II chase with the 550 Maranello pursuing the crazy Jamaicans on the 18 wheeler was awesome, as was the final chase of that movie, with Smith and Lawrence rocketing down a hill right smack through a shanty village in an H2...
The Rock was cool, but the chase was too short, and again it ends with Nicolas Cage chasing Connery on a dirt bike.
Anyone seen the movie Jade?  Crap movie but if I recall there was a cool chase with regular cars (I think one was a Ford Taurus or something...)
For a hoot, the scene near the end of Armed & Dangerous where the truck driver goes crazy and drives right through the traffic jam, and scares the hell out of John Candy at the same time, is quite funny.
Terminator 3 had a good scene, where John Conner is fleeing in a pickup truck and the TX has programmed the 4 cop cars to chase him and they're banging him around and turning him backwards 180 degrees, then that huge crane truck pulls up and massive property damage ensues!
Fifth Element had that good chase through that crazy metropolis with the flying cars, a little nerve-wracking.
Condorman, a little-known piece of Disney mediocrity, has the title hero fleeing in some ridiculous Condor-race-car thing, but watch it purely for the Proknoviatch, the Russian driving-slash-assassin team that chase him in black Porsches, the leader even drives a Slantnose with a rotating radar on the roof!! 
Steven Seagal, anyone?  What a lame-ass, but re-watch Out For Justice to see him chasing the bad guy in an unmarked car down the median of the road, bouncing around all over the freakin' place.  If ever there was a film example of how to waste your suspension, this is it!