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