Ebony Dark'ness Dementia Raven Way of My Immortal is a vampire, but it doesn't seem to affect her much except for being Immune to Bullets, being pale, drinking blood, and having a liking for Count Chocula cereal. She does dislike the word "cross" to the extent that on one occasion she types it "c-r-o-s-s" and on other occasions changes it to "pentagram", as in "She looked like a pentagram of Lindsey Lohan and Hillary Duff", but on one occasion she still wears cross-shaped earrings. Apparently she could be killed with a "steak." (She had better not go to any barbeques.) Harry "Vampire" Potter might or might not also be a vampire.
Thirty Hs features "astral vampires", which dwell in space and are able to bite even when only their heads remain. Harry Potter punches their heads off and throws them back in time to the planet Mars, where they bite cavemen, and so now there are vampire cavemen on Mars.
A Growing Affection has a blood-drinker demon clan, that drinks Human blood to increase their powers and enslave the people they feed on. Doraku (the only representative of his clan seen) dislikes being called a vampire but admits his clan is the source of the vampire myths.
Fluttershy in Nosflutteratu doesn't burst into flames when exposed to sunlight. It does weaken her though. Her vampiric nature is also the in universe explanation for The Stare. The idea that vampires don't have reflections or cast shadows is just a myth though.
C.C explains in More Than Just a Man that most vampiric weaknesses are either something completely logical or quirks of particular vampires: Garlic simply smells bad to their enhanced noses, sunlight is irritating as they can no longer tan, crosses were simply Dracula's thing, and being forced to count things is on account of some vampires developing Obsessive Compulsive Disorder as a coping mechanism. Lastly stakes through the heart kill most vampires because they get Stronger with Age and it takes a few centuries for them to heal fast enough to survive being stabbed in the heart. Though even she doesn't understand why salt water weakens vampires. Furthermore, most of the more fantastical powers aren't real. For example, shape shifting is really vampiric hypnotism to make someone think a vampire transformed. Lastly, it takes roughly a year for someone to fully change into a vampire, longer if they don't consume the massive amounts of nutrients the change requires. Also, the enhanced physical abilities (at least to begin with) is based on what the victim was capable of beforehand: an Olympic athlete would become superhuman but someone like Lelouch would only be on par with a trained athlete.
This trope is played straight in A Magus at Mahora when Shirou says "Our vampires are different" and goes on to describe what vampires are like in his home world, the Dean and Takamichi are horrified at the comparison to their worlds vampires which are a lot more 'human' in nature; Takamichi's comment sums up their thoughts fairly well: