Chun-tzu said:
Marvel's Morbius (originally a Spidey-villain) also had a series briefly, I think. Blade, of course, is half-vampire.
Morbius' full name was "Morbius, The Living Vampire", so that disqualifies him.
Actually, Morbius started as a scientifically created vampire, not a real one. He had some vampire-like abilties, but wasn't undead (kind of like how the mutant Wolfsbane can change into a wolf, but isn't a werewolf). However, in the early 90s, he ended up with demon blood or something, so I'm not sure what he is now.
Originally, Blade had no superpowers other than being immune to a vampire's bite (he might have been able to resist their mind control, too). I don't really read Marvel, so I don't know if they've changed him since the movie.
Speaking of Blade, in the old Tomb Of Dracula series, Hannibal King was a good, vampire hunting vampire (he lived on animal and corpse blood). Of course, he didn't wear a costume, so I'm not sure he counts as a superhero.
Supposedly, Frankenstein's Monster turned up as some sort of superhero in that Marvel series that took place in, I think, the 50s that John Byrne did. I think it was called Marvel: The Lost Generation (or something like that). I never read it so I'm not sure if it's the real monster or not. All I know is that it doesn't fit in with the Monster's chronology (he was frozen in ice until the 70s).
He also turned up in the Bloodstone mini-series. Never read that one either.
Milestone had a series called Xombi. I don't remember much about it though. I think the hero was killed and brought back with nanotechnology.
There was a character from the 40s named Kid Eternity. He died before his time and was sent back to Earth with the power to summon anyone from history. Vertigo revived him and made him "adult" and he was finally killed off in the new JSA series.
There was also a one-shot by Apple Comics in the late 80s/early 90s called The Bat. It was set in the 30s (spanning several years) and starred a hero who wore Dracula's ring. The ring kept him alive after sustaining what would be fatal injuries. At the end of the comic, he took the ring off and basically fell apart (as his old wounds opened) once he realized that he was undead and essentially turning more and more into a vampire (he didn't drink blood as I recall, but he became more ruthless).
Oh, and there's the Crow! I almost forgot that was a comic first.