Here are my favorites - post yours...

Ronin Scene 1 – Start at 4:30
YouTube - Ronin Car Chase Audi S8 MB 450SEL 6.9

Ronin Scene 2
YouTube - Ronin [1998] - Car Chase - BMW vs Peugeot

Bullit - Classic
YouTube - bullit famous car chase

Bourne Identity - Paris
YouTube - Bourne Identity car chase

Bourne Supremecy – Moscow
YouTube - The Bourne Supremacy - Moscow Car Chase

Bourne Ultimatum – NY
YouTube - Bourne Ultimatum car chase

Seven Ups
I think some of the sound track came from Bullit as well as the lead car driver.
YouTube - The Seven-Ups Car Chase (1973)

French Connection
YouTube - The french connection (1971) car chase

Gone in 60 seconds – original
YouTube - Gone in 60 seconds Original chase scene

Bad Boys II
YouTube - Greatest Chases & Crashes in Movies -- Bad Boys II (2003) (Part 1)