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