Here is the full list of all 64 Zombie Army Trilogy trophies - there are 60 bronze, 2 silver, 1 gold and 1 platinum.
Reach a total shot distance of 50km
Successfully complete Army of Darkness
Successfully complete The Keep
Headshot a Heavy Armour Zombie without removing his helmet
Successfully complete Freight Train of Fear
Successfully complete City of Ashes
Kill a Survivor
Successfully complete Tower of Hellfire
Kill 500 Skeletons
Successfully complete Terminal
Kill 50 enemies that are actively attacking other players
Revive other players 50 times
Successfully complete Gateway to Hell
Get at least 20 for 1 with an explosive kill
Reach a Chain Count of 30
Successfully complete Subway to Hell
Successfully complete Library of Evil
Kill 50 Suicide Zombies
Successfully complete Labyrinth of Death
Get at least 15 for 1 with an explosive kill
Successfully complete Cathedral of Resurrection
Kill an Occult General
Pick up a Panzerfaust
Loot a Super Elite's corpse
Get a 5-for-1 kill with any sniper rifle
Successfully complete Crucible of Evil
Successfully complete Purgatory
Sever 1,000 limbs
Successfully complete Village of the Dead
Pick up the Preacher
Defeat 500 enemies with headshots
Successfully complete Forest of Corpses
Complete any Campaign chapter in 4-player co-op at any difficulty level
Kill a total of 20 enemies while incapacitated
Reach a Chain Count of 20
Kick 50 enemies down
Kill 20 enemies as they revive
Get at least 10 for 1 with an explosive kill
Kill a Zombie Sniper in mid-air
Loot a Chainsaw Elite's corpse
Kill a Suicide Zombie by hitting his grenade
Reach a Chain Count of 10
Platinum Trophy
Successfully complete all Chapters on Sniper Elite difficulty
Kill 5000 enemies of any kind
Kill 100 Zombie Snipers
Kill 50 Super Elites
Kill 25 Fire Demons
Kill 25 Summoners
Sever 10,000 limbs
Get an unbroken 10-headshot streak
Score 5,000 with a single sniper round
Reach at least Wave 10 in Horde Mode – Waves of Despair
Reach at least Wave 10 in Horde Mode – No Sanctuary
Reach at least Wave 10 in Horde Mode – Flood of Tears
Reach at least Wave 10 with the highest score in any Horde Mode map
Reach at least Wave 10 with more gold medals than your companions
Kill 20 Elites in co-op
Complete every Survivor sidequest
Complete levels as every playable character
Collect every Gold Bar
Find and shoot every Bottle of Blood
Reach at least Wave 10 in Horde Mode – Dead End
Reach at least Wave 10 in Horde Mode – Dead Man's Bluff