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