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.
Collect more than 10,000,000,000 studs. (Single Player Only)
Get 100%. (Single Player Only)
Unlock all characters. (Single Player Only)
Collect all the Mithril Bricks. (Single Player Only)
Craft every Mithril item. (Single Player Only)
Collect all the Red Bricks. (Single Player Only)
Complete all the Fetch Quests in Middle-earth. (Single Player Only)
Travel to Isengard as every playable Hobbit.
Achieve True Adventurer in every level. (Single Player Only)
Defeat an Oliphaunt as Legolas.
Turn an enemy into a skeleton and make them dance.
Craft the Fire and Ice Bows. (Single Player Only)
Finish one of Gimli's opponents as Legolas in 'Helm's Deep'.
Complete 'The Mines of Moria' in under 15 minutes.
Equip Aragorn with the Mushroom Crown.
Defeat Gollum as Gollum.
Fish perfectly 20 times by pressing the icon as it flashes.
Throw Gimli 30 times.
Use the Ent Draught on Pippin.
Defeat 42 Uruk-hai as Legolas.
Reach the top of Amon Hen without being caught once by Boromir. (Single Player Only)
Travel to Trollshaws as Bilbo.
Unlock all the Map Stones in Middle-earth. (Single Player Only)
Dress a character completely in treasure items.
Complete 2 cooking puzzles.
Complete the Bonus Level.
Walk into Mordor.
During 'Prologue', jump into the fires of Mount Doom as Isildur.
Complete 'Mount Doom'.
Complete 'The Black Gate'.
Complete 'The Battle of Pelennor Fields'.
Complete 'The Paths of the Dead'.
Complete 'Cirith Ungol'.
Complete 'The Secret Stairs'.
Complete 'Osgiliath'.
Complete 'Helm's Deep'.
Complete 'Warg Attack'.
Complete 'Track Hobbits'.
Complete 'The Dead Marshes'.
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 a level in co-op.
Complete 'Prologue'.