Here is the full list of all 34 CARRUMBLE achievements.
Reach Personal Rank 150
Destroy each opponent with a single ultimate in the same match
Reach Personal Rank 90
Reach Vehicle Rank 30
Reach Personal Rank 45
Win 100 games
Unlock 100000 Shop Points
Unlock 50000 Shop Points
Play for 10 hours in total (Arena Time)
Reach Personal Rank 30
Play for 8 hours in total (Arena Time)
Buy 6 vehicles in the shop
Unlock 20000 Shop Points
Unlock 10000 Shop Points
Unlock 5000 Shop Points
Win 10 games with every kind of mutator
Unlock 2000 Shop Points
Play for 4 hours in total (Arena Time)
Reach Personal Rank 15
Win at least a game with each kind of mutator
Win 20 games
Play for 2 hours in total (Arena Time)
Win 10 games in any mode
Win 5 games
Reach Personal Rank 5
Get last in a game
Buy 5 liveries in the shop
Buy 2 vehicles in the shop
Buy a vehicle in the shop
Destroy a vehicle by crushing it with the slam
Eliminate an opponent by throwing him out of the arena
Buy a livery in the shop
Win one game
Reach Personal Rank 1