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