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.
Get 100%. (Single Player Only)
Collect all the Red Bricks. (Single Player Only)
Complete all the Fetch Quests in Middle-earth. (Single Player Only)
Unlock all characters. (Single Player Only)
Craft every Mithril item. (Single Player Only)
Collect all the Mithril Bricks. (Single Player Only)
Collect more than 10,000,000,000 studs. (Single Player Only)
Complete a level in co-op.
Craft the Fire and Ice Bows. (Single Player Only)
Finish one of Gimli's opponents as Legolas in 'Helm's Deep'.
Achieve True Adventurer in every level. (Single Player Only)
Travel to Isengard as every playable Hobbit.
Dress a character completely in treasure items.
Defeat 42 Uruk-hai as Legolas.
Turn an enemy into a skeleton and make them dance.
Use the Ent Draught on Pippin.
Defeat Gollum as Gollum.
Complete 2 cooking puzzles.
Fish perfectly 20 times by pressing the icon as it flashes.
During 'Prologue', jump into the fires of Mount Doom as Isildur.
Equip Aragorn with the Mushroom Crown.
Unlock all the Map Stones in Middle-earth. (Single Player Only)
Complete the Bonus Level.
Travel to Trollshaws as Bilbo.
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 'The Dead Marshes'.
Complete 'Helm's Deep'.
Complete 'Warg Attack'.
Complete 'Track Hobbits'.
Complete 'Taming Gollum'.
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'.
Throw Gimli 30 times.
Form The Fellowship of the Ring.
Complete 'Weathertop'.
Complete 'The Black Rider'.
Complete 'Prologue'.