Here is the full list of all 16 Super Toy Cars 2 (EU) trophies - there are 13 bronze and 3 silver.
Earn all points in Career Mode
Win 100 events of any type
Use 1000 power-ups
Acquire all cars in Career Mode
Race 500 miles
Unlock all cups in Career Mode
Cross the finish line while being destroyed
Buy at least 1 car for each Vehicle Class
Play a multiplayer game either online or local
Earn half the total points on Career Mode
Destroy 100 cars
Buy all the upgrades for one of your cars
Use 100 power-ups
Win 1 Demolition Derby event
Win 1 Event
Use 10 power-ups