The Bullitt chase is special to me for two reasons. One, I saw it when it was new; I'd gone to see my man Robert Vaughn in the film, and got this great surprise. Six weeks later, when school opened for the fall, my schoolmates were still talking about the scene.
Two, it does not come at you full on. The early portion is a cat-and-mouse game between McQueen's Bullitt and the guys in the Charger. Build, build, let the tension ratchet up, and only then, several minutes in (at the start of the clip above), are we riding with Bullitt in that snarling Mustang.
Oh, and as I played it, YT displayed an ad for a local injury attorney. "In a Wreck? Need a Check?" How appropriate.