As far as I know, there isn't. I've heard a rumor of one in St. George, UT, but if there isn't one there, I think your best bet is the Anime Cafe that is hosted by Salt Lake City's Anime Convention, "Anime Banzai". I've been once, and the food was delicious, although they only have a few things on the menu, & The service is nice if you don't mind waiting in line a little bit. The waitresses all cosplay.
Google Directory Cosplay
http://www.google.com/Top/Arts/Animation/Anime/Fandom/Cosplay/
Anime Costume resources:
http://anime.about.com/od/cosplay/tp/aa12.htm
There were 5 cafes and restaurants
Yes there is some, but the anime is not really focused in ballet. But the setting is in a ballet school. The name for this anime is Princess Tutu.
There are loads like animefreak and anime crazy
Any online anime streaming source such as gogo anime.
online at almost any anime site. although the anime was 100000x better. try anime44.com
yes there was
yes
Yes kikaicafe is run out of reidsville Georgia
There were 5 cafes and restaurants
It has 3 cafes
You can watch it at any popular anime streaming website such as Gogo anime.
you can probably find some good PG anime on any anime channel
12 cafes and 8 resturants
Utah has the same goods and services as any other state. You can find most anything you need in Utah.
Utah is home to the University of Utah, Utah State University, and Brigham Young University.
Any popular anime streaming website like gogo anime.
There are no colleges that support anime. However, if you are referring to becoming an anime/manga artist, there are art schools that support that.