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.
Complete 'The Mines of Moria' in under 15 minutes.
Reach the top of Amon Hen without being caught once by Boromir. (Single Player Only)
Fish perfectly 20 times by pressing the icon as it flashes.
Throw Gimli 30 times.
Finish one of Gimli's opponents as Legolas in 'Helm's Deep'.
Defeat 42 Uruk-hai as Legolas.
Use the Ent Draught on Pippin.
Unlock all the Map Stones in Middle-earth. (Single Player Only)
During 'Prologue', jump into the fires of Mount Doom as Isildur.
Travel to Isengard as every playable Hobbit.
Travel to Trollshaws as Bilbo.
Turn an enemy into a skeleton and make them dance.
Get 100%. (Single Player Only)
Unlock all characters. (Single Player Only)
Complete the Bonus Level.
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)
Defeat Gollum as Gollum.
Dress a character completely in treasure items.
Equip Aragorn with the Mushroom Crown.
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)
Complete 2 cooking puzzles.
Complete 'Mount Doom'.
Complete 'The Black Gate'.
Walk into Mordor.
Complete 'The Battle of Pelennor Fields'.
Defeat an Oliphaunt as Legolas.
Complete 'Cirith Ungol'.
Complete 'The Paths of the Dead'.
Complete 'The Secret Stairs'.
Complete 'Osgiliath'.
Complete 'Helm's Deep'.
Complete 'Warg Attack'.
Complete 'The Dead Marshes'.
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.