My girlfriend is smart, beautiful, and totally in love with me. The only problem is that she really enjoys the taste of human blood. Should I be at all concerned about this?
Rosario + Vampire: Boy meets vampire; she turns him into a ghoul, albeit accidentally. For some reason this doesn't threaten the relationship at all, despite creating the extreme likelihood of him turning into a mindless berserker.
Karin: a classic girl-meets-boy story where the girl is a cute, shy, vampire (actually, a rare type of what you might call a backwards vampire).
Wirbelwind: girl meets ordinary boy (initially), who then turns into undead, but it's all to the better because she's a Dark Elf and now they don't need to Wangst about their lifespans and incompatible alignments and just adventure together. And fuck, of course, because that's an ecchi adventure manga by the famous H-artist Makoto Fujisaki.
Sankarea: Boy obsessed with the undead meets girl, girl falls off cliff and dies, girl becomes zombie, zombie-girl becomes freeloader in boy's house.
My Lovely Ghost Kana: Boy meets Cute Ghost Girl haunting his new apartment. Boy drowns his sorrows. Boy has long conversation with ghost about life and death. Boy accidentally gropes ghost, somehow. Ghost is surprised, then excited at the implications of a living boy being able to touch her. Boy and ghost make sweet love, then begin a bizarre, surprisingly tender romance in the apartment where the girl brutally killed herself many years ago.
Gosunkugi from Ranma ½ developed a crush on Kogane while they spent time together during an episode. But at the end, he gets over it and continues to stalk Akane.
She had to return back to the netherworld at the end of the episode, as she can only manifest one day a year, but it's implied that he'll still be waiting for her until then.
to regenerate while boy helps nurse her back to health, girl emerges seemingly unscathed from chrysalis, boy and girl head to love hotel, girl transforms into monstrous insect creature and eats boy's head, reader is now horrified.]]
Tasogare Otome X Amnesia: Boy meets girl. Girl turns out to be amnesiac ghost of a 50 year old corpse in the school basement. Mysteries ensue.
Dance in the Vampire Bund: Boy meets vampire, eventually falls in love with her, boy finds out that he's actually a werewolf.
Also, Boy meets babysitter/older sister stand in, she gets turned into vampire, eventually decides to turn him into a vampire as well.
3×3 Eyes: Boy meets immortal, boy killed by immortal's pet, immortal absorbs his soul to resurrect him as a zombie Wu.
In Black Butler, the Undertaker has a case of this. While putting a bunch of zombies on ship just to see what happens is bad enough, admitting that you think they're beautiful while holding one in your arms is just plain creepy.
The main plot of Tokyo Pop's original English language manga My Dead Girlfriend.
Madman has a normal girl in love with a dead guy who looks weird enough in the costume he almost always wears, but beneath that mask is a person who looks very much like a corpse.
In the Cherry Comics parody of Anne Rice, Cherry and Ellie have sex with a vampire, a mummy and a ghost.
Fanworks
Novembersmith's RPS fan-novel The Anatomy Of A Fall is based on a boy meets ghost scenario.
Innocent Blood. Undercover detective meets... vampire (no points for guessing that). "I take lives." "Ya well, if you were perfect you wouldn't still be single."
Let the Right One In: Young boy meets apparently-young vampire, and, as with the movie version, puppy love + carnage ensues.
The Vampire's Beautiful Daughter: Rebecca is a half-vampire, and has to choose between undeath with her father and vampire friends or a human life with her human boyfriend Johnny. The story is told from Johnny's point of view.
And pretty much every single girl Xander's ever dated. It was even lampshaded at times.
The vampire detective show Moonlight features the romance between the main character and his human love interest.
In Vampire Diaries, Stefan and Damon both meet Katherine. A few hundred years later, Stefan meets Elena. Then, Jeremy and Vicki, after she becomes a vampire. And then Jeremy meets Anna, though initially she was just using him.
The ABC/BBC co-production Dead Gorgeous plays with this by having "Living Ghost" Rebecca fall for living boy David. However, he seems to not be particularly interested.
Music
"Date With A Vampire" by the Screaming Tribesmen.
"Little Ghost" by the White Stripes.
"I Walked with a Zombie" by Wednesday 13 and "She was the Teenage Zombie" by Murder Dolls. A lot of their other stuff qualifies, too.
"A Boy, A Girl, And a Graveyard" by Jeremy Messersmith, though the ghost in this case is male.
"The Zombie Song" by Stephanie Mabey. "I'd never eat your brain, I just want your heart."
Tabletop Games
A possibility for characters in Promethean: The Created, especially Galateids. On some occasions, it might help with a Promethean's Pilgrimage, but more than likely it will end very badly, thanks to their Disquiet.
Video Games
Neverwinter Nights has Boy meets Ghost Paladin. Somehow, none of the issues that would create ever come up in the game, though it is implied that she gets a new body after you return to the world of the living.
One minor sidequest in Skyrim has you searching for the journals of the necromancer Arondil. As you search the barrow he is currently squatting in, it's impossible to ignore the fact that it's populated entirely by female Draugr and ghosts. As you read his journals, it becomes clear that Arondil's interest in the female undead wasn't entirely scholarly. Apparently he finds the feel of ghostly ectoplasm arousing. Eventually you get to the end of the dungeon and find a double bed...with a female ghost "sleeping" in it.
I Saw Her Standing There has this as its premise. You have to lure a zombie girl to a cage in each level, with each "act" introducing a new gameplay twist. All the while, there is narrative text describing the love between the main characters.
Webcomics
The webcomic Ghost Friend was based on this trope.
xkcd has this little comic, where the boy's love interest seems to be a bit deader than most.
Undead Friend: One of the more bizarre example, as the only reason for meeting said boy is for an Inevitable Tournament, and they can witch places at the cost of his life for Superpowers.
Sluggy Freelance: Torg doesn't initially know that Valerie is a vampire, and even after finding out, he initially thinks that un-living with her forever wouldn't be that bad. But by the best guess, it isn't real love in either direction, and in any case he chooses to destroy her rather than turn against his friends.
Unlife Is Unfair is about the other way around, a nice zombie (nando) meets a girl and falls in love of her. She only wants to be his friend though. Later on she discovers feelings for him, which can be kind of harring.
