Here is the full list of all 10 Space Pirate Trainer achievements.
Win the Game
Zap 25 droids with the Tesla Coil in one game
Reach wave 20 without using a Shield
Destroy the Ray Boss
Get a multiplier combo of 12
Destroy your first Heavy Droid
Pull a droid into its own laser
Reach wave 10
Destroy the Mother Droid
Survive wave 23 for one minute without using your Gun, Shield or Volton