Here is the full list of all 19 Steamroll: Rustless Edition (EU) trophies - there are 2 bronze, 7 silver, 9 gold and 1 platinum.
Get all the trophies
Get 1 Award
Get 3 Awards
Use 10 regular balls
Use 25 regular balls
Use 10 explosion balls
Use 1 wall ball
Use 5 wall ball
Use 1 ramp ball
Use 5 ramp ball
Run out of steam
Finish a level with more than 90% of the steam
Attach the steamball to some base 25 times
Press 10 buttons
Break 10 boxes
Finish the tutorial
Finish level 3
Finish level 5
Expend Steam during 100 seconds