Top 5 in Top 25 best anime about vampires you will want to watch right away.
Tsukuyomi: Moon Phase vampire anime trailer
Tsukuyomi: Moon Phase is the best anime about vampires that focuses specifically on two individuals, a vampire and a human, showing the interaction between them. The difficulty, however, is that no restrictions have been set, perhaps except for hostile forces that want to exploit Hazuki's "uniqueness."
The slow development of their connection over time will be the highlight of the series. Although the supporting cast makes for the interwoven complexity, it also gives Tsukuyomi: Moon Phase a bit more solid.