Here is the full list of all 49 LEGO The Lord of the Rings trophies - there are 40 bronze, 5 silver, 3 gold and 1 platinum.
Collect every trophy.
Travel to Isengard as every playable Hobbit.
Get 100%. (Single Player Only)
Unlock all characters. (Single Player Only)
Craft every Mithril item. (Single Player Only)
Collect more than 10,000,000,000 studs. (Single Player Only)
Collect all the Mithril Bricks. (Single Player Only)
Complete all the Fetch Quests in Middle-earth. (Single Player Only)
Collect all the Red Bricks. (Single Player Only)
Dress a character completely in treasure items.
Achieve True Adventurer in every level. (Single Player Only)
Travel to Trollshaws as Bilbo.
Defeat Gollum as Gollum.
Unlock all the Map Stones in Middle-earth. (Single Player Only)
Complete the Bonus Level.
Turn an enemy into a skeleton and make them dance.
Complete a level in co-op. (Story only)
Use the Ent Draught on Pippin.
Craft the Fire and Ice Bows. (Single Player Only)
Fish perfectly 20 times by pressing the icon as it flashes.
Equip Aragorn with the Mushroom Crown.
Complete 'Mount Doom'.
Complete 'The Black Gate'.
Complete 'The Mines of Moria' in under 15 minutes. (Story Only)
Complete 'The Battle of Pelennor Fields'.
Defeat an Oliphaunt as Legolas.
Complete 'The Paths of the Dead'.
Walk into Mordor.
Complete 'Cirith Ungol'.
Complete 'The Secret Stairs'.
Complete 'Osgiliath'.
Complete 'Helm's Deep'.
Defeat 42 Uruk-hai as Legolas.
Finish one of Gimli's opponents as Legolas in 'Helm's Deep'.
Complete 'The Dead Marshes'.
Complete 'Warg Attack'.
Complete 'Track Hobbits'.
Complete 'Taming Gollum'.
During 'Prologue', jump into the fires of Mount Doom as Isildur.
Complete 'Amon Hen'.
Reach the top of Amon Hen without being caught once by Boromir. (Single Player Only)
Complete 'The Mines of Moria'.
Complete 2 cooking puzzles.
Complete 'The Pass of Caradhras'.
Throw Gimli 30 times.
Form The Fellowship of the Ring.
Complete 'Weathertop'.
Complete 'The Black Rider'.
Complete 'Prologue'.