My Top 10 Car Chase Scenes (1 being the best):Honorable Mention) The Road Warrior (the best chase scene of the best trilogy of all time)
10) Beverly Hills Cop (Axel Foley, played by Eddie Murphy, tries to hang on to inside of an 18 wheeler while some maniacal drivers smashes up the city while being chased by Detroit's Finest; hilarity ensues)
9) On Her Majesty's Secret Service (Bond manages to take the car chase through a crash-up-and-derby; not exhilirating, but cool nonetheless)
8) The Man With the Golden Gun (While chasing Scaramanga, Bond manages to do a midair 360 in a car without the help of any cables or special effects)
7) The Italian Job (the original is better than the new one)
6) The French Connection (Gene Hackman jacks some poor motorist's car, then chases a suspect who's riding the elevated train in Chicago)
5) The Bourne Supremacy
4) Bullit (60's muscle cars duel at top speeds through the hills of San Francisco)
3) Code of Silence (a TransAm, driven by Chuck Norris, chases after a limo full of bad guys through pre-remodeled Lower Wacker Drive in Chicago; you must see this to appreciate it)
2) Ronin
1) The Bourne Identity (French cops chase Jason Bourne/Matt Damon through the city of Paris; the chase in this is much better than the second sequel)
If you really want to get into car chase scenes, check out this self titled
Car Chase Hall of Fame I found, or the
Movie Car Chase Database.