Full list of all 38 A Hat in Time trophies - 14 bronze, 15 silver, 8 gold and 1 platinum.
The base game contains 28 trophies, and there are 2 DLC packs containing 10 trophies.
Collected all the trophies
Collect all Time Pieces in Alpine Skyline!
Collect all Time Pieces!
Collect all Time Pieces in Mafia Town!
No hand-holding for you, apparently.
Complete the Lava Cake peak without touching the lava at all!
Collect all Time Pieces in Subcon Forest!
Climb to the top of Subcon Forest's big mushroom!
Collect all Time Pieces in Battle of the Birds!
Get a total of 2000 points in Battle of the Birds!
Complete Train Rush without dying or time bonuses!
Defeat any boss with the 1-hit hero badge equipped.
Do a 360 flip on the scooter!
Hook onto a ceiling fan with the hookshot!
Don't fall into the rising water in Subcon Well!
Do 5 homing attacks in a row, without touching the ground!
Knock off all the sitting Mafia in Mafia Town!
Make it through Murder on the Owl Express without finding any clues (you suck)!
Complete The Big Parade without falling into the audience below!
Make it through Dead Bird Studio without being seen at all!
Equip 3 badges!
Find Hat Kid's Secret Hideout!
Find all Murder on the Owl Express clues!
Ride the vacuum!
Slide down a really long slope!
Put on your first badge!
Light up the spaceship!
Sit in 3 chairs!
Clear All Objectives In a Single Death Wish!
Obtain 50 Death Wish Stamps!
Obtain All Death Wish Stamps!
Clear Ship Shape Without Upsetting The Captain!
Collect all Time Pieces in The Arctic Cruise!
Collect 3 Time Pieces In Co-op!
Put 10 different stickers on a single screenshot!
Collect 30 Stickers in Nyakuza Metro
Discover a secret food combination!
Collect all Time Pieces in Nyakuza Metro!