Here is the full list of all 39 Perils of Baking trophies - there are 26 bronze, 7 silver, 5 gold and 1 platinum.
Earn every other trophy
Find all bonus rooms
Complete level 39 while in a minecart
Finish all secret levels
Finish the fourth secret level
Finish the third secret level
Finish the second secret level
Finish the first secret level
Unlock the fourth warp
Unlock the third warp
Unlock the second warp
Unlock the first warp
Complete the 40 main levels
Win the final Boss fight
The fish in the overworld got you
Shoot a spike as it is falling
Win the third Boss Fight
Collect 10,000 points worth of food
Throw a projectile into a bubble jet
Find 5 bonus rooms
Win the second Boss Fight
Collect 5,000 points worth of food
Bounce on 5 enemies in a row without touching the ground.
Win the first Boss Fight
Finish the first balloon level
Have an oven send out flame enemies
A cupcake explodes killing another enemy
Grabbed a hat pickup after losing it
Find your first bonus room
Lure a big cookie off an edge, to it's death
Finish the first underwater level
Reach a checkpoint underwater
Collect 1,000 points worth of food
Use an oven
Finish the first minecart level
Collect the B-A-K-E cookies in one level
Leave a hat behind in a no hat zone
Then why would I wear this hat? Reach full health
Collect 500 points worth of food