Here is the full list of all 27 May's Mysteries: The Secret of Dragonville trophies - there are 4 bronze, 18 silver, 4 gold and 1 platinum.
Unlock all other Trophies.
Solve your first puzzle.
Solve all Story puzzles.
Solve a bonus puzzle.
Solve all bonus puzzles.
Try at least one puzzle of each type.
Skip a puzzle.
Solve all puzzles of one type.
Free animals in Crypto-ZOO.
Solve all puzzles in Dragonville.
Solve all puzzles in Underworld.
Solve all puzzles in Crypto-ZOO.
Solve all puzzles in Uter's Island.
Solve all Arrange puzzles.
Solve all Check Answer puzzles.
Solve all Color Area puzzles.
Solve all Connect the Dots puzzles.
Solve all Crossing puzzles.
Solve all Draw Lines puzzles.
Solve all Hidden Objects puzzles.
Solve all Hidden Pictures puzzles.
Solve all Matches puzzles.
Solve all Placement puzzles.
Solve all Pouring puzzles.
Solve all Rhythmic puzzles.
Solve all Sliding puzzles.
Solve all Write Answer puzzles.