There are 12 Trophies that can be collected.

Bronze

Collector    
Unlock all parts.

Builder    
Build an own level.

Pyrotechnician    
Launch fireworks for 20 seconds!    

Fastest Counter    
Count one counter chip to 200 within ten seconds.    

Candlelight    
Light the level with candlelight for 30 seconds.    

Twin Shot    
Shoot two cannonballs with one cannon – at the same time!    

Weatherman    
Create three different clouds within one simulation with one cloud machine.

Silver

Apprentice    
Solve your first puzzle.    

Puzzlemaniac    
Solve all puzzles.

Challenger    
Solve all challenges.

Creator    
A little wind blew in the snowy night.

Gold

Perfect Puzzler    
Solve all base puzzles as perfect.

http://www.ps3trophies.org/game/crazy-machines-elements/trophies/