Here is the full list of all 36 Speed Crew achievements worth 1,000 gamerscore.
Beat the tutorial
Finish your first race
Finish 70's chapter
Finish 80's chapter
Finish 90's chapter
Finish 00's chapter
Slap Dominion 10 times in a single level
Win a race for a first time
Win 20 races
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
Unlock all characters
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