Here is the full list of all 12 Home Improvisation achievements.
Turn the lights all the way down.
Complete all challenge levels.
Play every note on the piano.
Unlock all tools.
Unlock all rooms in the house.
Build all furniture pieces.
Shatter the vase.
Build all furniture in a room.
Use the mallet to break something.
Complete the Speed challenge level.
Complete the Height challenge level.
Complete the Shatter challenge level.