Here is the full list of all 55 Crash Drive 3 achievements.
Fully level 20 cars
Collect 20 cars
Find 40 of the Hidden M2H collectibles
Tag 25 objects in a Tag event
Win 100 Events
Drift 500 meters
Honk 100 times
Win 50 Events
Hit the Big Snowman
Earn battle level 10
Bump into 10 players
Win a race against at least 3 opponents
Win a King of the Crown event
Win the Cops & Robbers event as a Robber
Finish a Collect event with more than 500 points
Touch an UFO on the Moon
Win a Collect event
Win 10 Events
Win a Tag event
Win a Find the Gap event
Hit an Alien
Travel by Rocket
Catch 2 Robbers as a Cop in a Cops & Robbers event
Win a Stunt event
Win a Stunt event 10000 points higher than the second place
Do a triple front- or backflip
Join a Friend
Fall out of the level
Spin 1080 degrees in the air
Do a front and backflip in one combo
Win a match of Tank Battles
Visit the Tank Battles area
Travel by Ferry
Win a Beachball event
Hit an Explosive Barrel
Visit the Snow area
Get a combo score of 15000 points
Get thrown by a Catapult
Visit the Forest area
Travel through a tunnel
Hit 50 Pushable objects
Win a King of the Hill event
Reach the highest combo multiplier
Fully level your first car
Earn over a Million Dollars
Hit the Beachball with at least 10 damage
Collect your first car
Get 6 Seconds of airtime
Visit the Desert area
Find all rings
Collect all cars
Equip the Banana Antenna, Banana Boost and Schoolbus at the same time
Stand on top of the highest asteroid
Fully level all cars
Obtain all Achievements