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