Here is the full list of all 25 Kaze and the Wild Masks achievements. It takes around 10-12 hours to unlock all of the achievements on Windows.
Complete the level "Free Fall"
Defeat the Olaf's Lair
Earn 20 crystal medals
Complete the level "Beets and Bounces"
Earn 15 bonus crystals
See a card
Defeat the Buck's Brigade
Earn 10 cards
Defeat Mother Mona
Complete the level "Watch your steps"
Complete all bonus from an island
Earn 5 crystal medals
Earn a gold medal
Complete a level without getting hit
Save Hogo
Complete the album
Complete all bonus
Complete a island without getting hit
Complete all islands without getting hit
Earn 10 time trial medals
Earn all the time trial medals
Save Carrotland
Complete the level "Bulletvator"
Complete a level without any crystals
Complete the game in 2 hours