Here is the full list of all 24 Zombie Camp: Last Survivor achievements.
Killed 100 zombies with the pistol
Killed the Skeleton King
Fully upgraded the pistol
Unlocked the AK47
Fully upgraded the AK47
Unlocked the Shotgun
Fully upgraded the shotgun
Unlocked the Thumper
Fully upgraded the Thumper
Unlocked the sniper rifle
Fully upgraded the sniper rifle
Fully upgraded all weapons
Killed 1000 zombies
Killed 5000 zombies
Killed 10000 zombies
Reached level 16
Killed 200 zombies with the gatling gun
Died 25 times
Killed 100 zombies with the shotgun
Killed 100 zombies with the thumper
Killed 100 zombies with the sniper rifle
Killed 100 enemies with the gatling gun
Achieved 500 head-shots
Unlocked the zombie farm (Level 5 unlock)