There is a manga comic called Lilim Kiss, you can see the entry on this work here in the SuccuWiki.
And the cover of this story looks like this:
It is about a guy who one day finds a flask containing the succubus Lilim. She is very attractive but, she also has the tendency to drain the life force out of people. She surprises the life out of him (literally) when she kisses him unconscious. The girl, Lilim, turns out to be a succubus who gains energy by kissing men. Lilim then flies off for more “food,” but returns later, saying that Takaya’s life-energy was the “tastiest.” From then, Lilim is accepted by Takaya’s parents as a live-in girlfriend of sorts, and Takaya’s heart seems to start wavering towards this voluptuous devil.
Now the YouTube that I found has the English version of the story in it, if you view it in full screen you can read most of the story that way, the music doesn’t really have anything to do with the book though it is a lovely match with the book.
And in case the embedding doesn’t work: