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.
Colorize all the Purple paintings in Purple's dream world.
Collect every Floaty Brush in the game.
Give your eyes a hard time.
Buy every combat move in the Dojo.
Shoot the moon at Blue Harbor.
Find the hermit living in the turtle cave.
Send one of the Greens flying in the Market District.
Defeat the Final Boss.
Solve the crime at Blue Creek.
Defeat the Boss at Blue Harbor.
Reach the highest point of the Great Windmill.
Punch a very special crate.
Reach the Tower Gallery.