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