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