There are 12 Trophies that can be collected.

Bronze

Thief!   
Perform 10 quad steals in Versus Mode

Dot Matrix Hero   
Complete stage 5 in Sabrepulse – Play With You

Glutton   
Create 10 perfect quads

Tyrannosaurus Quad   
Create a quad containing 100 cells or more

Renaissance Man   
Create 3 quads before the beatline completes its first pass of the grid in Joe Hogan – Sympathy

The Cross   
Create a quad using only the cross shape in Plaid – Tender Hooks

Best Friends Forever   
Attain 100% coverage within 2:22 minutes in any level in Co-op Mode

Silver

Plate Spinner   
Have 4 active quads on screen at once

Centurion   
Attain a x100 multiplier in any level

Clean Freak   
Attain 100% coverage in any Time Mode or Co-op Mode level without losing your multiplier

Overachiever   
Attain at least 100% coverage, a x50 multiplier and create a perfect quad in a single 3 minute Time Mode game

Gold

Conqueror   
Reach at least 100% coverage on all 10 original levels in the game in 3 minute Time Mode

http://www.ps3trophies.org/game/chime-super-deluxe/trophies/