This is not as straightforward as it might seem. It turns out there have been a lot of shows with vampires over the years, and those vampires frequently end up in the law-enforcement business.

That said, you're probably thinking of "Moonlight," a CBS drama that ran for one season from 2007 to 2008. It featured Alex O'Loughlin (now better known as Steve McGarrett in CBS's "Hawaii Five-0" reboot) as a vampire who is also a private investigator. He falls in love with a mortal woman who is a news reporter, though she later joins him in the P.I. business. As with all vampire stories since Bram Stoker's novel kicked off the craze a little over a century ago, there's also a complicated romantic relationship between O'Loughlin's character and the one who turned him into a vampire (or "sired" him, in the genre's lingo).

But you could also be thinking of "Blood Ties," which was produced in Canada for Space and Citytv, but which aired in the U.S. on Lifetime. It also got just one season in 2007, and was also about a private investigator who teamed up with a vampire to solve crimes. 

There are other possibilities as well. You could be thinking of "Angel" (though it had a healthy run, from 1999 to 2004), the "Buffy the Vampire Slayer" spinoff in which the vampire is the head of a private investigation firm. Or "Kindred: The Embraced," about a mortal cop who forms an uneasy truce with a vampire mobster (of sorts) -- that one lasted a mere eight episodes on Fox in 1996.

And this is all assuming you were watching American TV. If you're Canadian (or living in a Canada-adjacent state) you might be thinking of "Forever Knight" (1992 to 1996), about a vampire police officer.

And if you were watching South Korean TV (which is possible, though you probably would have mentioned it in your question), you could be thinking of "Vampire Detective," which aired one season earlier this year, or "Vampire Prosecutor" (a huge innovation in the vampire law-enforcement genre), which ran from 2011 to 2012.

My point is, TV vampires all over the world love solving crimes. Which makes sense, in a way, since they have to find something to do with all the free time immortality gives them. And it's a more likely career option than vampire rock star (as seen in the 2002 film "Queen of the Damned"), and makes for more compelling TV fare than vampire high school students (as seen in another oddball Canadian series, "Vampire High," which ran from 2001 to 2002).

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