Here is the full list of all 30 Space Elite Force achievements.
Destroy Destroyer
Desttroy Cruiser
get 10x combo!
someone sent a car into space, destroy it!
Destroy Frigate
Kill 300 enemies!
collect double score power
Kill 200 enemies!
collect shield power
collect double orbs power
collect magnetic power
Kill 50 enemies!
collect super gun power
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!