If you liked the Full Moon o Sagashite manga, the Anime-Planet community thinks you'd like:
Chiyuki is a young girl with a terminal disease. Near death, she meets a vampire named Touya and blackmails him into spending time with her; however, he doesn't drink blood because if he took a blood partner the partner would die long before him and he doesn't want to get hurt. When Chiyuki is dying he saves her life by having her drink some of his blood, because he feels even being with her for a little longer will be enough. She returns to school and forces Touya to join her there, where they discover that one of their classmates is a werewolf who is ashamed of being a monster. Both of them slowly become closer to Chiyuki because of her warmth, her will to live, and her non-judgmental love which heals the wounds from their pasts.