There are 13 Trophies that can be collected.

Bronze

First Things First
Complete a single level

Blobs Unite!
Finish a level in co-op mode

In the Beginning, There was Blob
Finish Part 1 of the game

Chompbot? More Like Chumpbot?
Finish Part 2 of the game

Here Today, Blob Tomorrow
Finish Part 3 of the game

A Taste of Gold
Earn a gold cup in any level

Friendly Neighborhood Blob
Rescue 15 Blob Friends

Speed Demon
Earn a checkered flag in every level

Platinum Blob
Earn a platinum cup in every level

Silver

Does This Planet Make Me Look Fat?
Complete the game

Blob Friends Forever
Collect all Blob Friends in the game

Silver Blob
Earn a silver cup or better in every level

Gold

Golden Blob
Earn a gold cup in every level

http://www.ps3trophies.org/game/tales-from-space-about-a-blob/trophies/