Moonlight Lady (顔のない月 Kao no Nai Tsuki, lit. Faceless Moon) is the American release title for No Surface Moon The Animation; a 2001 Japanese OVA anime series adapted from the 2000 Japanese visual novel eroge of the same name. It was created by Orbit Co., Ltd., animated by IMAGIN and produced by Pink Pineapple and later licensed by Media Blasters, English dubbed by Wave Form Solutions and distributed by Kitty Media.
Synopsis: Suzuna Kuraki is a young woman apprenticing to become a priestess of her wealthy, matrilineal family's Shinto faith. As part of her initiation, she must not only practice consecration, but also enter marriage by arrangement and subsequently participate in the decadal Tsukimachi ceremony; an esoteric ritual held to welcome a new clergywoman. However things starts to get complicated when her fiance, Koichi Hayama, is brought to her estate and a mysterious paranormal energy begins making her act somewhat strangely.
(source: Wikipedia)