Here is the full list of all 36 Speed Crew achievements.
Win a race for a first time
Win 20 races
Slap Dominion 10 times in a single level
Beat the tutorial
Finish your first race
Finish 70's chapter
Finish 80's chapter
Finish 90's chapter
Finish 00's chapter
Win all regular races in a game
Unlock your first sponsor race
Win your first sponsor race
Win all sponsor races in a game
Perform a co-op action
Perform 30 co-op actions in a single level
Unlock a character
Slap a teammate
Fix all cars in a level without the timer expiring 24 times
Die for the first time
Die 13 times in a single level
Hit your teammate with a car
Put 20 items into the trashcan in a single level
Refuel 15 canisters in a single level
Repair 15 broken parts in a single level
Release 20 cars in a single level
Douse fire 20 times in a single level
Remove 15 pieces of junk in a single level
Release a car last moment before the race finish
Get 4 combo modifier during the race
Win a race on your first attempt 5 times
Have all players dead simultaneously
Finish last in the race
Release 300 cars in total
Recycle 200 items in total
Refuel 150 canisters in total
Unlock all characters