Here is the full list of all 22 Car Demolition Clicker achievements.
Obtain all other achievements (without post-release ones)
Buy final weapon
Beat Darkside Truck
Collect 1000 faction points
Collect 50 faction points for "Observers" faction
Buy final drone
Buy 4-gun drone
Unlock Observers faction
Collect 50 faction points for "The Mob" faction
Use reset option
Buy a 3-gun drone
Hold 10 milion $
Visit proving grounds stage
Visit gas station stage
Visit ice cave stage
Collect 50 faction points for "Lab Rats" faction
Buy a 2-gun drone
Use a perk
Destroy a neon sign
Visit construction site stage
Destroy your first car
Fill all drone slots