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