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.
Defeat the Final Boss.
Buy every combat move in the Dojo.
Colorize all the Purple paintings in Purple's dream world.
Find the hermit living in the turtle cave.
Conduct the orchestra without making a mistake.
Collect every Floaty Brush in the game.
Solve the crime at Blue Creek.
Give your eyes a hard time.
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.