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