Maybe you're used to the modern cinematographic technique of quick cuts where one barely has time to focus on a scene. Older movies tend to use longer shots in action sequences.
Besides what I already mentioned, Bullitt is cool because:
1. the setup where the guy puts on his seatbelt
2. the total lack of dialog - the driver and the gunman understand each other just by looks
3. the deadpan expression on the driver
4. when Bullitt slides off the road, the slightest, most barely perceptible smile on the driver's face
5. McQueen's expression of complete focus and concentration
6. the 68 Mustang and Charger just totally rock. I never understand having a chase sequence with boring cars
7. the lack of CGI, models, and special effects
8. the skid marks from earlier takes
9. the amazing teleporting Green Beetle :-)
10. I love the shot of the rearview mirror when the hunter becomes the hunted - it's just classic
It needs more Michael Bay! Kidding aside, I do agree the Fastback and Charger are beautiful pieces of engineering. What I wouldn't do to own a Charger.
What stops me is I don't have the garage space for it, or I'd get one. If you don't need one fully restored, or numbers matching, or all original, the prices aren't too bad.
Besides what I already mentioned, Bullitt is cool because:
1. the setup where the guy puts on his seatbelt
2. the total lack of dialog - the driver and the gunman understand each other just by looks
3. the deadpan expression on the driver
4. when Bullitt slides off the road, the slightest, most barely perceptible smile on the driver's face
5. McQueen's expression of complete focus and concentration
6. the 68 Mustang and Charger just totally rock. I never understand having a chase sequence with boring cars
7. the lack of CGI, models, and special effects
8. the skid marks from earlier takes
9. the amazing teleporting Green Beetle :-)
10. I love the shot of the rearview mirror when the hunter becomes the hunted - it's just classic