Here is the full list of all 23 Super Laser Racer achievements.
Earn all the Special medals on all levels
Unlock all tournaments (Hard)
Special medal for Super tournament (Hard)
Destroy an opponent with Mines
Unlock all ships
Use Shield to protect yourself from a Missile
Destroy an opponent with a Missile
Destroy multiple enemies in a race
Destroy an opponent with the Super Laser
Earn a Special medal
Win a Survivor quick race
Destroy an opponent with a Plasma
Use tractor beam to overtake opponent
Destroy mine with an ECM blast
Win a race without using a weapon
Destroy an opponent with a Bomb
Destroy an opponent with a Laser
Destroy an opponent with the Cannon
Destroy a Bomb before it explodes
Destroy an enemy in your death blast
Win an Eliminator quick race
Win a race
Complete a lap without taking any damage