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Vampire Kisses by Ellen Schreiber
Sixteen-year-old Raven, an outcast who always wears black and hopes to become a vampire some day, falls in love with the mysterious new boy in town, eager to find out if he can make her dreams come true.
Be sure to check out the other seven books in the series and the Manga version!
Here are some other YA Fiction books about not-quite-human beings, also with an element of romance:

Betwixt by Tara Bray Smith
Three alienated teenagers are drawn to a strange outdoor concert in the woods outside of Seattle, where they discover that they possess magical powers and that their destinies are intertwined.

Blood and Chocolate by Annette Curtis Klause
Having fallen for a human boy, a beautiful teenage werewolf must battle both her packmates and the fear of the townspeople to decide where she belongs and with whom.

By These Ten Bones by Clare B. Dunkle
After a mysterious young wood carver with a horrifying secret arrives in her small Scottish town, Maddie gains his trust--and his heart--and seeks a way to save both him and her townspeople from an ancient evil.

A Great and Terrible Beauty by Libba Bray
After the suspicious death of her mother in 1895, sixteen-year-old Gemma returns to England, after many years in India, to attend a finishing school where she becomes aware of her magical powers and ability to see into the spirit world. If you like this one, it's the first in a trilogy: #2 is Rebel Angels and #3 is The Sweet Far Thing.