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