http://www.youtube.com/watch?v=CSAN7ZX02eA - the Bullit car chase involving 2 dodge chargers through the streets of san fransico.
This chase has a relatively small count of shots compared to other more modern action films. However it still managed to fit nearly 50 different shots into 3 minutes. At the time this was fairly fast considering you could only have so many camera filming at once and each shot would take a couple of hours to set up.
Another scene we looked at was this one.
http://www.youtube.com/watch?v=2ETruidd5lQ - This scene is from the "Bourne" series. It involves Jason Bourne and a female companion running from the police through the streets of Paris in a Mini hatchback. This scene has more than double the shot count compared to Bullit. This give the viewer a much more perspective of speed as it almost feels like the car is going faster. The reason the producers can do this is because of the advance in technology. For example you can now have many more cameras filming at once you can have cameras following from cars instead of being static and just panning them across.
Another reason is that the filming company can block off more streets now a days which will allow them to get many more shots per day which again can contribute to the shot rate. They can also do more high octane stunts to build action and drama and make the scene become faster and more intense.

For example stunts like this you couldn't have done 10 years ago

Even smoking the tyres was quite impressive