Mai-Hime 1[Shi-Fa
I saw the preview from the site Thundrakkon posted, and checked this anime out.
AnimeNfo Summary of Mai Hime
It was a pretty good episode. There was some good action, good story setup, and all the other fixings youd like to have in a good anime.
I wish I could go into detail, but its only episode 1. But a good start to what may be a good anime!
EDIT: Budweineken posted the link, not Thundrakkon.