Here is the full list of all 30 Space Elite Force achievements.
Kill 300 enemies!
collect super gun power
Desttroy Cruiser
Kill 200 enemies!
collect double score power
collect shield power
someone sent a car into space, destroy it!
improve the ship resistance!
Destroy Frigate
collect double orbs power
Kill 50 enemies!
collect magnetic power
Destroy Destroyer
destroy heavy frigate
destroy heavy cruiser
destroy heavy destroyer
destroy battle cruiser
complete the hardcore mode!
reach the maximum level!
improve ship shield
improve the life of the ship!
get 10x combo!
get 20x combo!
1st in rank (infinite mode)
Complete a mission without suffering damage!