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