Here is the full list of all 40 LEGO The Hobbit trophies - there are 27 bronze, 8 silver, 4 gold and 1 platinum.
Collect every trophy
Achieve 100% completion
Complete all the quests in Middle-earth. (Single Player Only)
Collect all characters. (Single Player Only)
Collect 10,000,000,000 studs. (Single Player Only)
Forge all the Perfect Mithril Treasure Items. (Single Player Only)
Forge all the Mithril Treasure Items. (Single Player Only)
Equip yourself with Dazzle Wig, Mithril Rhythm Stick and Mithril Dance Boots.
Collect all Mithril Bricks. (Single Player Only)
Collect all Treasure Items in levels. (Single Player Only)
Play a level in co-op
Use every Dwarf from Thorin's Company in a Buddy-Up attack
Use 50 Buddy-Up attacks
Collect all Minikits. (Single Player Only)
Collect all Schematics. (Single Player Only)
Obtain all Master Burglar titles. (Single Player Only)
Use Gandalf's startle ability to dazzle 50 enemies
Create a custom character.
Complete the Bonus Level
Equip Thorin with the Mithril Mushroom Crown
Complete the mining game perfectly 50 times
Transform to Beorn's bear form.
Complete ''Inside Information''
Obtain 150,000 studs from Instruction Builds bonuses. (Single Player Only)
Complete ''On the Doorstep''
Complete ''The Necromancer''
Complete ''Looking for Proof''
Complete ''A Warm Welcome''
Complete ''Barrels Out of Bond''
Complete ''Flies and Spiders''
Complete ''Queer Lodgings''
Complete ''Out of the Frying Pan…''
Complete ''Goblin Town''
Complete ''Over Hill and Under Hill''
Complete ''The Troll Hoard''
Complete ''Roast Mutton''
Complete ''Azog the Defiler''
Complete ''An Unexpected Party''
Complete ''Greatest Kingdom in Middle-earth''
Collect 99 of any loot