I love Chicago's flexible curriculum, but it's the slightly "conservative" culture that people have told me that worries me a bit (and the amount of people applying). I'll be talking to some Chicago students soon, so that will help me piece together a picture of Chicago better than what I've read and heard from other school's alums.
As for Stanford, I am surprised to. I'm guessing maybe:
1. Last year almost no GMATClubber got into Stanford, thus no ambassador and no one here to talk about the wonders of Stanford
2. Self Selection: Like Shmegs said, people don't apply because they say they "know they won't get in".
3. It seems like MOST of the people here are from the midwest or east coast, thus they favor the Chicago/Kellogg/HBS/Whartons more. Makes sense, since only roughly 1/6 of the people live west of the Mississippi (rough estimate).
That's good for me, since I want as little competition as possible!
BTW, if you guys experience the year round weather out here on the West Coast, you'll be applying to any school you can out here