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