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