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