Dhampir is a word in Balkan folklore, the name for a cross between a human and a vampire. This assumes vampires can impregnate humans (and vice versa), and the result is basically a human with vampire traits. They may or may not have the bloodlust, but dhampirs would often have increased strength, speed and fortitude, allowing them to go toe-to-toe with vampires. Some even lack vampire weaknesses, such as vulnerability to the sun. They are often employed as vampire hunters, although a few may actually have full vampire powers, and so they differ with each story.
Born as his mother was being bitten and turned by a vampire, Blade emerged a dhampir, with vampire speed, agility and strength, but none of the weaknesses, such as being burned by sunlight. Except bloodlust, according to the movie. He still needs blood, although means have been developed to solve that. He was first introduced as a foil to Marvel's version of Dracula, but has since become popular and gotten his own series and movie.
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Son of Dracula and a human, D wanders a post-apocalyptic world searching for his father. He helps humans along the way, despite his reputation preceding him and planting fear in the hearts of many, whether human, vampire or monster. Most encounters put him at odds with many vampire lords in the world. see more on Vampire Hunter D
Rose Hathaway and Dimitri Belikov
These two are put together since they are two dhampirs who figure prominently in the Vampire Academy series and movie. They protect their Moroi friend, Lissa Dragomir, and other Moroi from the Strigoi. So here's where being a dhampir is not an accident, but rather serves a purpose.