Here is the full list of all 14 The Last Tinker: City of Colors achievements. It takes around 10-12 hours to unlock all of the achievements on Windows.
Buy every combat move in the Dojo.
Defeat the Final Boss.
Colorize all the Purple paintings in Purple's dream world.
Conduct the orchestra without making a mistake.
Find the hermit living in the turtle cave.
Collect every Floaty Brush in the game.
Solve the crime at Blue Creek.
Defeat the Boss at Blue Harbor.
Shoot the moon at Blue Harbor.
Send one of the Greens flying in the Market District.
Give your eyes a hard time.
Reach the highest point of the Great Windmill.
Punch a very special crate.
Reach the Tower Gallery.