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