Here is the full list of all 37 The Crown of Wu achievements.
Collected 1/3 of the combat documents
Finish Zone 2
You have solved the riddle of crystals
Finish Zone 1
You have found another prisoner
You have achieved the power of the Wind element
You have completed all the trophies
You have recovered all the lost items
Collected all combat documents
You have used the power of the wind to avoid dying from a fall
You have completed the game
You have learned the 4 powers
You've played the whole melody
Collected all Relics
Collected all Jade Vases
You have collected all the Coins
You have collected all the Pamphlets
Collected all Etched Shells
Collected all Robotic Components
You have collected all the Music Sheets
You rescued Shiki
Collected 2/3 of the combat documents
You have survived a near-fatal fall
Finish Zone 3
Finish Zone 4
Finish Zone 5
Finish Zone 6
Finish Zone 7
Finish Zone 8
You have achieved the power of the Lighting element
You have achieved the power of the Fire element
You have achieved the power of the Earth element
Read all the monoliths
You played half a melody
You have crossed the abyss without falling
You have beaten Tama-botto
You have defeated one Goreem-ka without letting him heal