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