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.
Conduct the orchestra without making a mistake.
Defeat the Final Boss.
Colorize all the Purple paintings in Purple's dream world.
Buy every combat move in the Dojo.
Give your eyes a hard time.
Collect every Floaty Brush in the game.
Find the hermit living in the turtle cave.
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.
Reach the highest point of the Great Windmill.
Punch a very special crate.
Reach the Tower Gallery.