Gankutsuou. I think it is a waste to show this series to an anime newb because they probably won't be able to appreciate it as much, but it should do the trick. I agree that she must watch more than one episode, though. Why won't she watch anime?

http://anidb.info/perl-bin/animedb.p...anime&aid=1868
http://www.animeacademy.com/finalrevdisplay.php?id=565