Books like Millennium Snow, Vol. 1

Seventeen-year-old Chiyuki Matsuoka was born with heart problems, and her doctors say she won't live to see the next snow. Toya is an 18-year-old vampire who hates blood and refuses to make the traditional partnership with a human, whose life-giving blood would keep them both alive for a thousand years. Chiyuki makes the most of the time she has left, even though things aren't that exciting--until she comes across a reluctant vampire late one chilly night. Can Chiyuki teach Touya to feel a passion for life, even as her own is ending?