Here is the full list of all 51 Middle-earth: Shadow of Mordor trophies - there are 35 bronze, 14 silver, 1 gold and 1 platinum.
One has walked in Mordor.
Make an uruk yours.
Complete all Azkâr Legend Missions.
Unlock 3 Sword Rune slots.
Collect 50% of the Ithildin.
Activate all Forge Towers.
Use the Detonate ability to burn 50 uruks.
Collect 100% of the Ithildin.
Help a Captain survive a Recruitment Power Struggle, and then kill him and all his new recruits.
Complete all Urfael Legend Missions.
Save Lithariel's life.
Eliminate the bodyguards of two Warchiefs, then draw them out and kill them.
Kill The Hammer.
Unlock 4 Dagger Rune slots.
Brand all 5 Warchiefs.
Successfully complete a Survivalist Challenge.
Make 20 uruks flee by dropping Morgai Fly nests.
Brand 5 Bodyguards of a Warchief, turning them against him in combat.
Capitalize on a Warchief's Fear.
Brand a Captain while in combat.
Free 5 caragors from cages.
Complete a Bow Mission and begin growing the legend of Azkâr.
Collect 100% of the Artifacts and listen to their memories.
Complete a Dagger Mission and begin growing the legend of Acharn.
Complete all Survivalist Challenges.
Get Ratbag promoted to Warchief.
Complete an Outcast Rescue Mission.
Witness the creation of The Rings of Power.
Discover some of the Wraith's past.
Use Strike From Above while at least 60 feet above your target.
Poison a Captain at his own Feast.
Kill the Great White Graug.
Complete all Outcast Rescue Missions.
Destroy the Monument Gate and topple the statue of Sauron.
Lift Lady Marwen's curse.
Kill The Tower.
Issue a Death Threat, and then successfully kill the target.
After an uruk kills you to become a Captain, help him become a Warchief, then kill him.
Acquire a level 25 Rune.
Complete a Sword Mission and begin growing the legend of Urfael.
Collect 25% of the Artifacts.
Attract caragors with bait 5 times.
Kill The Black Hand.
Successfully complete 4 Hunting Challenges.
Kill all 5 Warchiefs before any uruk take their place.
Start a Riot by commanding a Warchief to attack another Warchief.
Complete all Hunting Challenges.
Liberate 20 slaves in 300 seconds while riding a caragor.
Perform an Execution on a flaming Berserker.
Complete all Acharn Legend Missions.
Unlock 2 Bow Rune slots.