I used to play a Barbie computer game as a kid (I'm 20) and it was based entirely in her house, I think there may have been one activity outside, not sure, but in each room there Diptrace.
Barbie Movies
Barbie As Rapunzel A Creative Adventure Pc Game Download
Barbie As Rapunzel A Creative Adventure Pc Game Download
5.0 out of 5 stars Barbie as Rapunzel: A Creative Adventure March 3, 2009 I purchased this software for my 5 year old granddaughter and she loves playing it so much. In Barbie as Rapunzel: A Creative Adventure, kids journey through eight interactive activities, including Magical Mosaics, Design a Throne, Garden Maze, Princess Paintings, Magical Masquerade, and more. The Magic Paint Box guides kids creatively through each activity.
It wasn't a 'house' exactly, but I think you're talking about the Barbie as Rapunzel game. You can look at pictures here: http://www.amazon.com/Barbie-as-Rapunzel.. You had to fix every room in her castle (and one outside in the garden) to restore the magic. Every room had a mini-game that you clicked on to 'fix' the castle. The dining room had a puzzle-type thing under the table. Hope that helps!!