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