Here is the full list of all 14 Tales from Space: Mutant Blobs Attack trophies - there are 12 bronze, 1 silver and 1 gold.
Eat the final cork in Level 1
Eat the valedictorian at the end of Chapter 1
Board the rocket ship at the end of Chapter 2
Take a ride on the space elevator at the end of Chapter 3
Boot yourself over the spikes at the end of Chapter 4
Eat the magnetic balls at the end of Chapter 5
Eat the solar system
Earn a silver medallion or better in five levels
Look up the top score on any leaderboard
Absorb 1500 objects
Eat all of the escape pods in the final level
Complete all of the Tilt-A-Blob levels
Collect all Blob Friends in the game
Earn a gold medallion in every level