Here is the full list of all 36 Sniper Elite: Nazi Zombie Army 2 achievements.
Get at least 20 for 1 explosive kill in 4 player co-op
Successfully complete All Chapters 4 players on Elite Difficulty
Kill 100 skeletons with explosives
Find and shoot all the bottles of blood
Get a 5-for-1 kill with any sniper rifle
Become possessed
Collect all Gold Bars
Kick 50 enemies down in co-op
Own 2 Nazi Zombie Army games
Kill 5000 enemies
Kill 20 Elites in co-op
Defeat 100 ignited zombies
Defeat 20 Summoners
Defeat 10 Fire Demons
Kill 20 Snipers in co-op
Kill 2000 enemy grunts in co-op
Defeat 500 enemies with headshots
Loot an Elite's corpse
Kill any 100 enemy with the shotgun
Successfully complete Chapter 5 with 4 players
Defeat the Final Boss
Kill the trapped Elite
Pick up the Preacher
Kill a suicide grunt by hitting his grenade
Successfully complete Chapter 4 with 4 players
Kill 1000 enemies
Successfully complete Chapter 3 with 4 players
Pick up a phone
Successfully complete Chapter 2 with 4 players
Kill 20 enemies as they revive
Kill 500 enemy grunts
Defeat a Fire Demon
Get at least 10 for 1 explosive kill in 4 player co-op
Get at least 15 for 1 explosive kill in 4 player co-op
Pick up a shotgun
Successfully complete Chapter 1 with 4 players