There are 13 Trophies that can be collected.

Bronze

World 1 opened!
Get enough pills to open World 1.

World 2 opened!
Get enough pills to open World 3.

World 3 opened
Get enough pills to open World 3.

World 4 opened!
Get enough pills to open World 4.

World 5 opened!
Get enough pills to open World 5.

World 6 opened!
Get enough pills to open World 6.

World 7 opened!
Get enough pills to open World 7.

World 8 opened!
Get enough pills to open World 8.

Special World opened!
Succeed in opening the Special World.

Silver

Finisher
Finish the game having collected all the pills.

Relentless player!
Finish the game by carrying out perfect runs.

No pausing!
Finish the last level without pausing more than 22 times.

Gold

Free at last!
Finish the game.

http://www.ps3trophies.org/game/funky-lab-rat/trophies/