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