The Bourne scenes come immediately to mind but I just saw Ronin and forgot how insane that scene is. Ronin gets my vote!
Loved the chase in Ronin, but my favorite since I saw it in the theater in 1968 and several times since is the one in Bullitt.
Gene Hackman chasing the train in The French Connection is also very good.
Blues Brothers...trashed a mall to film that.
Pineapple Express - CAR CHASE
Bullitt. It still has not been surpassed.