Tokimeki Tonight (1982)

Ranze Etou is a very special girl: her mother is a werewolf, her father is a vampire and she herself has the ability to shapeshift. In spite of all this, she strives to lead the life of an ordinary human schoolgirl. Her one ambition is to get with the young handsome athlete Shun Makabe, which is complicated by the fact that all supernatural creatures must keep their identity hidden from the human world. To make matters worse, another girl, a gangster's daughter named Yoko Kamiya, is trying to claim Shun for herself. Will Ranze ever manage to get with Shun?