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