Lunar Legend's main character is Shiki Tohno, a high school student, who has the mysterious power to destroy objects/people by seeing (and cutting) the lines that they are composed of. After not fully understanding and trying to ignore his ability for years, he meets a vampire, Arucueid, who makes him confront his past and present self. Arucueid has her own mission and problems too, which Shiki gradually finds himself more and more involved in.
As the series progresses we find out about Arucueid's past, as well as that of the Tohno family- which turns out to be more sinister than it seems. Overall the series has a heavy, dark, haunting atmosphere. Plot-wise the series is actually quite slow moving, but that isn't a bad thing, as it remains interesting and gripping throughout. There are only 12 episodes in total (compiled into three volumes), so it's certainly worth taking a look at!
I really love this anime- it's definitely one of my favourites. The series really leaves a lasting impression and I personally think it's brilliant. I definitely recommend it!