There are 13 Trophies that can be collected.

Bronze

A Perfect Storm
Use a Chain Block to connect at least 25 blocks.

True Believer
Play for over 3 hours within 24 hours.

Lucky 5
Create 5 Squares with 1 Shuffle Block.

Prodigy
Achieve a BONUSx3.

The DJ Is In The House
Create, save and then clear 12 Playlists.

A True Pioneer
Clear 10 Skins in Voyage Mode.

New Recruit
Get a total score of 50,000.

Thank You
Watch through the entire Credits sequence.

Avatar Addicts
Use Avatar Abilities 200 times.

Silver

Time Stands Still
Erase 30 Squares in Stopwatch Mode – 30 Seconds.

Journey’s End
Clear all Skins in Voyage Mode.

Black Belt
Unlock Master Zone 5.

Gold

Winner Takes It All
Unlock all Skins and all Avatars.

http://www.ps3trophies.com/forums/playstation-trophy-news/11245-lumines-electronic-symphony-trophy-list.html