Here is the full list of all 26 Turbo: Super Stunt Squad trophies - there are 2 bronze, 18 silver, 5 gold and 1 platinum.
Earn every Trophy in the game
Beat the Turbo Score on All Levels
Collect All Tomatoes in Freeplay
Complete All Objectives in a Level
Collect all Tomatoes on One level in Freeplay
Beat the Turbo Score on a Level
Complete 20 Objectives with Burn
Collect All Character Pickup Sets
Complete 20 Objectives with Smoove Move
Complete 20 Objectives with Skidmark
Complete 20 Objectives with Whiplash
Unlock All Custom Shells
Collect All Tomato Pickup Sets in Timed Mode
Collect All T-U-R-B-O Sets
Customize A Snail
Unlock A Custom Shell
Unlock the Dos Bros Roof
Unlock the Hobby Shop
Unlock The Autobody Shop
Unlock the Dos Bros Patio
Unlock The Nail Salon
Complete 20 Objectives with Turbo
Finish All Tutorials
Perform A Special Trick
Use A Special Ability
Complete An Objective