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