There are 50 Trophies that can be collected.

Bronze

Give Something Back
Upload a Creation

First Rate
Rate the Creation of another online user

Top Marks
Mark another user's content as one of your favorites

Pick of the Bunch
Mark an EA Pick as one of your favorites

Creation Craver
Download another user's Creation

Pick a Pick
Download an EA Pick

Radical Remix
Remix and save a downloaded Creation

Share and Share Alike
Upload a remixed Creation

Rise to the Challenge
Submit an entry to a Community Challenge

Solution Sharer
Upload a Solution

Challenger
Solve a player generated Challenge

A Monster Start
Solve your first Challenge

That Looks Lovely
Earn your first Spark

Welcome to Theme Park
Unlock Theme Park

Welcome to Transportopia
Unlock Transportopia

Welcome to Family Home
Unlock Family Home

Welcome to Outer Space
Unlock Outer Space

Welcome to The Great Outdoors
Unlock The Great Outdoors

Welcome to Ancient History
Unlock Ancient History

Welcome to Future World
Unlock Future World

Welcome to Pirate
Unlock Pirate

Welcome to Urban Sports
Unlock Urban Sports

Welcome to Darkworld
Unlock Darkworld

Welcome to Theme Park II
Unlock Theme Park II

Welcome to Family Home II
Unlock Family Home II

Welcome to Outer Space II
Unlock Outer Space II

Welcome to Future World II
Unlock Future World II

Centurion
Collect 100 Sparks

Impressionist
Use every brush in Paint mode

On Safari
Place all types of animals throughout the game

Raging Debate
Place the Create team's favorite animal!

Free Creator
Save a Creation or a Challenge from within the Free Create level

Working up an Appetite
Eat 50 slices of toast within Challenges (not player generated Challenges)

Grand Design
Solve a Contraption-o-Matic Challenge with a contraption built of 40 or more parts

Michael Multiplier
Reach a x20 multiplier in a Scoretacular Challenge

Pop!
Burst 100 balloons within Challenges (not player generated Challenges)

Blast-off Bedlam
Use every type of rocket within Challenges (not player generated Challenges)

String 'em Up
Attach 50 objects which have string to another game object

Road Trip
Drive 2,000 meters in vehicles within Challenges (not player generated Challenges)

Explosive Nature
Set off 50 explosions within Challenges (not player generated Challenges)

Magnetic Personality
Solve Challenge 10 in Transportopia entirely with Horseshoe Magnets

Silver

Fave Rave
Mark the content of 10 different online users as a favorite

Challenge King
Solve 10 player generated Challenges

We Love 284
Collect 284 Sparks

Only 109 to Go!
Collect 501 Sparks

Creative Pride
Finish five Create Chains within one level

Down, but not out
Complete a car based Challenge after all its wheels have burst (not player generated Challenges)

Gold

Challenge Wizard
Solve 20 player generated Challenges

Bright Spark
Collect all 610 Sparks

Platinum

Platinum trophy
Unlock all Trophies

http://www.ps3trophies.org/game/create/trophies/