Here is the full list of all 36 Yooka-Laylee trophies - there are 16 bronze, 16 silver, 3 gold and 1 platinum.
Defeat Capital B at the end of the game
Defeat the World 5 boss
Defeat the World 4 boss
Collect all 6 health extender items
Expand all five Grand Tome worlds
Collect 75 Pagies
Get the high score in one of Rextro's Arcade Games
Purchase all of Trowzer’s moves
Unlock every Grand Tome world
Collect 500 Quills
Defeat the World 3 boss
Collect 30 Pagies
Expand three Grand Tome worlds
Disrespect the Idol
Defeat the World 2 boss
Collect your first 200 Quills
Complete one of Kartos’s minecart challenges
Complete one of Dr. Quack’s Quackfire Quizzes
Get transformed by Dr. Puzz for the first time
Defeat the World 1 boss
Expand a Grand Tome world
Unlock and equip a Tonic
Successfully complete one of Rextro’s arcade games
Purchase a move from Trowzer
Collect your first Ghost Writer
Unlock the first Grand Tome world
Collect your first Pagie
Collect every Trophy in Yooka-Laylee
Collect all 145 Pagies
Unlock 15 Tonics
Collect all 6 power extender items
Collect every Ghost Writer in the Grand Tome worlds
Collect all 1,010 Quills
Find any one of the pirate treasure items
Find any three of the pirate treasure items
Find all five of the pirate treasure items