Here is the full list of all 35 Grood (EU) trophies - there are 21 bronze, 8 silver, 5 gold and 1 platinum.
Unlock all trophies
Destroy 250 Ironfaces
Vist the Woods 15 times
Destroy 50 Fat Enemies type 1
Destroy 200 Paper Planes
Destroy 250 Rocket Propelled Barrels
Destroy 200 Wind Up Toys
Visit the Bamboo Forest 12 times
Destroy 50 snakes
Destroy 200 Floating Mines
Reach the Philosopher's Path
Destroy 150 Gunners
Destroy 150 Saw Blades
Reach the Junkyard
Die 100 times
Reach the Frozen Land
Visit the Coast 3 times
Visit the Wind Zone 10 times
Reach The Swamp
Reach the Abandoned City
Destroy 50 Fat Enemies type 2
Visit the Desert 6 times
Defeat first boss
Defeat second boss
Destroy 150 Pulsing Enemies
Destroy all the enemies of the Wall
Cause 100 million dollars in damage
Die 1000 times
Cause 10 billion dollars in damage
Cause 1 billion dollars in damage
Defeat the first boss in a minute
Defeat last boss
Defeat the second boss in a minute
Love is stronger than a thousand machines
Defeat the last boss in a minute