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