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