There are 11 Trophies that can be collected.

Bronze

New Venue    
Unlock your first new event.    

Equipment Check    
Complete the tutorial.    

Music Lover    
Give someone kudos.

Everyone's Dancing    
Receive kudos while performing.    

Tribe Vibe    
Bring two PS Move controllers close together in co-op play and feel the vibe.

Silver

Going Viral    
Promote one of your events for the first time.

Gold

Resident    
Unlock all events.

4 Secret

Silver

The Deep Hour    
Be playing PixelJunk™ 4am at exactly 4am.    

Dress Code    
During calibration, be wearing a green shirt or have a large amount of green in your room.    

The Sun Can't Compare To Your Light    
During a performance, touch the PS Eye with the PS Move controller to give it a kiss.    

Raver    
Give kudos to 10 different people.

http://www.ps3trophies.org/game/pixeljunk-4am/trophies/