Here is the full list of all 30 Dead Purge: Outbreak achievements.
Deal 10K damage
Perform 25 headshots
Kill 10 zombies
Perform 5 headshots
Kill 50 zombies
Kill 100 zombies
Kill 250 zombies
Kill 500 zombies
Kill 1000 zombies
Kill 5000 zombies
Kill 10000 zombies
Complete Suburb - Day level in Horde mode
Complete Alley - Night level in Horde mode
Complete Suburb - Sunset level in Horde mode
Complete Police Station level in Horde mode
Complete Alley - Day level in Horde mode
Complete Suburb - Night level in Horde mode
Complete all levels in Horde mode
Perform 75 headshots
Perform 150 headshots
Perform 500 headshots
Perform 1000 headshots
Win one game
Win 10 games
Win 100 games
Win 250 games
Reach level 2
Reach level 5
Reach level 10
Deal 100K damage