Here is the full list of all 24 Global Ops: Commando Libya achievements.
Finished the first level
Watched the intro on the hardest difficulty
Discovered the options screen
50 kills with AK47
50 kills with M16
50 kills with UMP
50 kills with M1014
20 kills with M136
20 kills with grenades
50 kills with M249
50 kills with SVD
Finished the second level
Finished the third level
Finished the fourth level
Finished the fifth level
Finished the sixth level
Finished the seventh level
Finished the eighth level
Finished the ninth level
Finished the game
Finished the game on the hardest difficulty
Died from his own grenade
20 kills with melee attacks
50 headshot kills