Here is the full list of all 37 Car Mechanic Simulator trophies - there are 23 bronze, 8 silver, 5 gold and 1 platinum.
Repaint a car to factory color
Reach level 3 of garage expansion
Reach level 3 of unscrewing
Buy car from auction
Collect 100 000$
Renovate and sell a car
Visit Racetrack
Buy car from junkyard
Unlock all the tools
Spend 100 000$ in shop
Unlock tablet
Finish order with experience bonus
Pour old oil on the floor
Spend 10 000$ in shop
Finish order with money bonus
Fix your first car
Visit Test Track
Pour too much oil
Paint car
Collect 10 000$
Detail interior of car
Earn all trophies
Collect 1 000 000$
Sell 25 cars
Sell 100 cars
Sell 1 000 cars
Finish all the special missions
Fix 100 old cars
Spend 1 000 000$ in shop
Drop to 0$
Finish undone order
Unlock 10 levels of parking
Finish lap with time under 1 minute
Buy new car in car salon
Buy 3 cars from one barn
Reach level 3 of discount
Fix your first Bolt Hellcat