Here is the full list of all 14 Police Chase trophies - there are 11 bronze, 2 silver and 1 gold.
Mission 1 successful
Mission 5 successful
Mission 10 successful
Mission 15 successful
Campaign completed
All racetracks played
Total your car
Use all your gasoline
Total a car that's not yours
Lose a mission in the campaign game
Last place in a race (Tom´s Race)
Beat your own record once
Play a campaign mission twice
Collect all trophies