Here is the full list of all 15 Burning Cars achievements.
Win a race without firing any equipped weapons.
Pick up a health bonus when vehicle HP is less than 1.
Win a race completely unarmed.
Come first place in a race.
Purchase an engine upgrade.
Earn $10,000 from destroying opponents.
Pick up 10 cash bonuses while racing.
Use nitrous 50 times.
Destroy an opponent with a mine.
Destroy an opponent while receiving the weapon amplifier bonus.
Purchase the buggy.
Continue your career after failing to win a cup.
Earn $200,000 from racing.
Win the championship at easy difficulty!
Win the championship at hard difficulty!