Here is the full list of all 30 The Lord of the Rings: Aragorn's Quest trophies - there are 9 bronze, 15 silver, 5 gold and 1 platinum.
All Trophies Collected
Complete all the side quests
Defeat 2500 Enemies
Collect all the Fellowship Tokens
Defeat the Witch-king without taking damage
Defeat 100 Uruks
Defeat 250 enemies with Bow
Collect all lore items
Game complete
Acquire all the upgrades
Defeat the Mouth of Sauron
Complete the Shire
Complete all the imaginary quests in the woods
Defeat 8 Oliphaunts
Defeat the Witch-king
Defeat the Uruk champion without taking damage
1000 silver coins acquired
Perform 5000 sword swipes
All stalls 100% Complete
Defend the Ent
Defeat 100 Orcs
Defeat 1000 Enemies
Defeat the Balrog
5 consecutive Icon Strikes
Complete Crow Hunting quest
Defeat your first Hill-troll
Defeat Black Riders/Nazgûl
Defeat 100 Goblins
Complete Button Mushroom quest
Perform an Icon Strike