Here is the full list of all 27 LEGO The Lord of the Rings trophies - there are 13 bronze, 6 silver, 7 gold and 1 platinum.
Obtain all other Trophies.
Get 100%. (Single Player Only)
Achieve True Adventurer in every level. (Single Player Only)
Use Tom Bombadil's laugh to destroy Sauron in Free play.
Collect every collectible.
Deliver all the treasure items.
Complete all the HUB mini games.
Unlock all characters. (Single Player Only)
Collect all the Character Profiles.
Simply walk into Mordor. (Single Player Only)
Use Smeagol to defeat Gollum when Gollum is the buddy.
Complete Weathertop in Free Play
Complete Journey's End.
Defeat the Mouth of Sauron.
Complete The Battle of the Pelennor Fields.
Defeat an Oliphaunt as Legolas.
Complete Shelob's Lair.
Complete The Paths of the Dead.
Complete The Battle of Helm's Deep.
Complete Track the Hobbits.
Complete The Taming of Gollum.
Complete The Skirmish of Amon Hen.
Complete Moria: Bridge of Khazad-dûm.
Complete Moria: Balin's Tomb.
Complete The Camp at Weathertop.
Complete The Black Rider on the Road.
Complete The Battle of the Last Alliance.