Here is the full list of trophies you can unlock in LittleBigPlanet for the PS3.
100% Complete (Platinum) – Earn all LittleBigPlanet trophies to unlock this platinum trophy
20X Multiplier! (Silver) – Get a 20X Multiplier
2X Multiplier! (Bronze) – Get a 2X Multiplier
8X Multiplier! (Bronze) – Get an 8X Multiplier
Artist (Bronze) – Place a sticker
Booty Master (Silver) – Collect all the prize bubbles on the story levels
Celebrity (Silver) – You were hearted by 5 or more people as a player
Create (Gold) – A level you published was hearted by 50 or more people and you were hearted by 30 or more people
Creator (Bronze) – Build and save a level with the thermometer more than 30% full
Crowd Pleaser (Silver) – A level you published was played by 50 or more people
Dr Frankenstein (Silver) – Create a living creature with at least 2 eyes, 2 legs or wheels, and a brain
Expert Creator (Bronze) – Complete all levels in the Tutorials
Fashion Sense (Bronze) – Choose a costume for your sackperson with at least one item on your head, at least one item on your body, and a material
Feel the love (Silver) – A level you published was hearted by 10 or more people
FIRST! (Bronze) – Be among the first 10 people to complete a community level
Forager (Bronze) – Collect 25% of the prize bubbles on the story levels
Friendly (Bronze) – Complete a level with more than one player
Hi Score (Silver) – Collect 1,000,000 points over all levels you have played
Homemaker (Bronze) – Place 10 stickers or decorations in your pod
Incredible Height! (Bronze) – Travel to an incredible height
Incredible Speed! (Bronze) – Travel at incredible speed
Just Beginning (Silver) – Complete all the main path story levels
Look what I made! (Bronze) – A level you published was played by 5 or more people
Neighbourhood (Bronze) – Watch Heart 5 community levels
Networking (Bronze) – Heart 3 authors
Opinionated (Bronze) – Tag a community level
Party Person (Bronze) – Complete a level online with 3 other players who are on your friends list
Play (Gold) – Complete all story levels without dying, with the exception of those levels that only end when you die
Publisher (Bronze) – Publish a level
Share (Gold) – Play 150 community levels, tag 50 community levels and heart 10 community levels
Socialite (Bronze) – Complete a level online with 3 other players who are not on your friends list
Sticky Fingers (Bronze) – Collect 50% of the prize bubbles on the story levels
Talkative (Bronze) – Post a comment on a community level
Team Creator (Bronze) – Build and save a level with more than one player with the thermometer more than 30% full
The Canyons (Bronze) – Complete all levels in The Canyons
The Gardens (Bronze) – Complete all levels in The Gardens
The Islands (Bronze) – Complete all levels in The Islands
The Metropolis (Bronze) – Complete all levels in The Metropolis
The Savannah (Bronze) – Complete all levels in The Savannah
The Temples (Bronze) – Complete all levels in The Temples
The Wedding (Bronze) – Complete all levels in The Wedding
Top of the class (Bronze) – Win a 4-player game
Traveller (Bronze) – Complete a community leve
Treasure Hunter (Bronze) – Collect 75% of the prize bubbles on the story levels