In the
World of Darkness roleplaying game setting, the
vampires in that world refer to themselves as 'Kindred'. This name reflects the often-disputed but widely held belief that all vampires are descended from a single common
ancestor, frequently held to be
Caine, the First
Murderer -- as in Caine and
Abel. Note that "descent" here means that each individual in one's "
ancestry" turned the next one into a vampire; it in no way implies a genetic or familial relationship as humans would understand it.
"Cainite" is the archaic term for vampires in the World of Darkness; this is stated frequently, and explicitly, in the sourcebook Vampire: The Dark Ages. This nomenclature has fallen out of fashion as time has progressed, however. Vampires of the Sabbat still call themselves Cainites in the Modern Nights, but Hardestadt the Younger and those other wussies in the Cam started calling themselves "Kindred" when the Camarilla was formed. Since the official Camarilla position states that Caine and the Antediluvians don't exist, it wouldn't very well do for Camarilla members to walk around calling themselves "Cainites". Hence, Kindred.
"Cainite" is also still used occasionally by elder vampires, or vampires trying to sound like elders, or vampires trying to sound scholarly and impress their elders, or... you get the idea.
So in the Dark Ages historical setting, all the vampires were called Cainites; in the modern setting, non-Cam vampires call themselves Cainites, and Camarilla vampires call themselves Kindred. Mages of the Order of Hermes call them massasa, and are secretly at war with the Kindred of Clan Tremere. Kuei-jin call them kin-jin or gaijin, usually with a "die, foreign devil!" in there somewhere. Garou just call them lunch.