Here is the full list of all 48 LEGO The Lord of the Rings achievements. It takes around 30-35 hours to unlock all of the achievements on Windows.
Fish perfectly 20 times by pressing the icon as it flashes.
Travel to Isengard as every playable Hobbit.
Reach the top of Amon Hen without being caught once by Boromir. (Single Player Only)
During 'Prologue', jump into the fires of Mount Doom as Isildur.
Complete a level in co-op.
Complete 'The Mines of Moria' in under 15 minutes.
Throw Gimli 30 times.
Defeat Gollum as Gollum.
Turn an enemy into a skeleton and make them dance.
Use the Ent Draught on Pippin.
Travel to Trollshaws as Bilbo.
Unlock all the Map Stones in Middle-earth. (Single Player Only)
Dress a character completely in treasure items.
Equip Aragorn with the Mushroom Crown.
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 all the Fetch Quests in Middle-earth. (Single Player Only)
Collect all the Red Bricks. (Single Player Only)
Collect more than 10,000,000,000 studs. (Single Player Only)
Complete the Bonus Level.
Craft the Fire and Ice Bows. (Single Player Only)
Achieve True Adventurer in every level. (Single Player Only)
Finish one of Gimli's opponents as Legolas in 'Helm's Deep'.
Defeat 42 Uruk-hai as Legolas.
Complete 2 cooking puzzles.
Complete 'The Black Gate'.
Complete 'Mount Doom'.
Walk into Mordor.
Complete 'The Battle of Pelennor Fields'.
Defeat an Oliphaunt as Legolas.
Complete 'The Paths of the Dead'.
Complete 'Cirith Ungol'.
Complete 'The Secret Stairs'.
Complete 'Osgiliath'.
Complete 'The Dead Marshes'.
Complete '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'.