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