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
Collect all the Fellowship Tokens
Defeat 250 enemies with Bow
Defeat 100 Uruks
Collect all lore items
Defeat 2500 Enemies
Complete all the side quests
Game complete
Defeat the Mouth of Sauron
Acquire all the upgrades
Complete the Shire
Complete all the imaginary quests in the woods
Defeat 8 Oliphaunts
Defeat the Witch-king
Defeat the Witch-king without taking damage
Defeat the Uruk champion without taking damage
1000 silver coins acquired
All stalls 100% Complete
Defend the Ent
Defeat 100 Orcs
Defeat the Balrog
Defeat 1000 Enemies
Perform 5000 sword swipes
Complete Crow Hunting quest
Defeat your first Hill-troll
Defeat Black Riders/Nazgûl
Complete Button Mushroom quest
Defeat 100 Goblins
5 consecutive Icon Strikes
Perform an Icon Strike