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