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