Here is the full list of all 36 World War Z: Aftermath trophies - there are 18 bronze, 14 silver, 3 gold and 1 platinum.
Earn all other trophies
Walk into toxic cloud 100 times
Open and buy all perks in game
Use masking grenade on 3 teammates with zombies near
Finish any level using just pistol
Hit 10 zombies with one Stun Gun shot
Finish 25 PvP matches in any mode
Finish PvP match with highest score in any mode
Gather 200 resources during single match in scavenge raid mode
Capture the point and hold it until the end of the match in "Swarm Domination" mode
Mark special zombies 50 times
Finish 100 games in PvE
Heal 30 teammates with health lower than 20% with Medkits or Stim Pistol
Capture 15 turrets
Rescue 30 incapacitated teammates
Open and buy final versions of all weapons
Open 15 rooms or containers with breaching charge
Build 100 defences
Finish any level without dealing friendly damage
Kill 10,000 zombies
Kill 10 zombies with gas cylinder explosion
Finish any level without using health packs
Burn 10 zombies with one gasoline puddle
Finish any level with full team
Kill Lurker midair
Kill Bull during charge
Kill 20 lying zombies before they get up
Finish episode "Moscow" on any difficulty
Finish episode "New York" on any difficulty
Finish episode "Jerusalem" on any difficulty
Finish all episodes on any difficulty
Finish all episodes on insane or extreme difficulty
Open and buy all perks in one specialization
Open and buy final version of any weapon
Defuse 10 mines
Dispense 10 explosive ammo packs to teammates