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)
Fish perfectly 20 times by pressing the icon as it flashes.
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.
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)
Unlock all the Map Stones in Middle-earth. (Single Player Only)
Complete all the Fetch Quests in Middle-earth. (Single Player Only)
Collect all the Red Bricks. (Single Player Only)
Complete the Bonus Level.
Travel to Trollshaws as Bilbo.
Throw Gimli 30 times.
Walk into Mordor.
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.
Reach the top of Amon Hen without being caught once by Boromir. (Single Player Only)
Complete 2 cooking puzzles.
Dress a character completely in treasure items.
Defeat Gollum as Gollum.
Equip Aragorn with the Mushroom Crown.
During 'Prologue', jump into the fires of Mount Doom as Isildur.
Complete 'Mount Doom'.
Complete 'The Black Gate'.
Complete 'Cirith Ungol'.
Complete 'The Secret Stairs'.
Complete 'The Battle of Pelennor Fields'.
Defeat an Oliphaunt as Legolas.
Complete 'The Paths of the Dead'.
Complete 'Osgiliath'.
Complete 'The Dead Marshes'.
Complete 'Helm's Deep'.
Finish one of Gimli's opponents as Legolas in 'Helm's Deep'.
Complete 'Warg Attack'.
Complete 'Track Hobbits'.
Complete 'Taming Gollum'.
Complete 'Amon Hen'.
Complete 'The Mines of Moria'.
Complete 'The Pass of Caradhras'.
Form The Fellowship of the Ring.
Complete 'Weathertop'.
Complete 'The Black Rider'.
Complete 'Prologue'.
Complete a level in co-op. (Story only)