Here is the full list of all 35 Tearaway Unfolded trophies - there are 18 bronze, 11 silver, 5 gold and 1 platinum.
Collect all the other trophies
100% complete the game
Complete all the "extra things to do"
Safely deliver the Misplaced Gopher everywhere she wants to go
Collect all the hidden presents
Dispatch all the scraps
Collect all the papercraft plans in the world
Bounce 10 times in a row on a gopher
Finish the game
Take a photo in each chapter
Create a trophy icon on the cutting mat
Take a photo of the Other Messenger
Take a Selfie on the Paper Plane
Take a photo of Yellow Head
Hit 5 enemies at once with a Thrown-Forth projectile
Use the Guiding Light to clear up 500 pieces of scrap paper
Let the squirrels play throw-and-catch with the messenger
Safely deliver the Misplaced Gopher home
Collect 25 papercraft plans
Stroke 4 different types of creature inside your controller
Throw a scrap into the controller
Bounce on two bouncer scraps without touching the ground
Change the color of every part of your messenger
Take a sepia photo of a squirrel eating an acorn
Force a stilt scrap to shoot another scrap
Tumble a stack of 5 scraps
Dispatch 200 scraps
Take a black and white photo of a gopher riding an elk
Create 10 decorations with the cutting mat
Put more than 10 decorations on your messenger
Dispatch 10 scraps while riding the pig
Take 15 photos of the paper world
Throw a gopher at a scrap
Unlock your first papercraft plan
Complete your first "extra thing to do"