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