Um... aren't you forgetting something? The Ministry also keeps a list of people who are are these
Centaurs - Centaurs are a fusion of human and horse that can come in a variety of colors. They have the body of a horse and the head, torso and arms of a human. They are highly intelligent and are forest-dwelling creatures. Some live in the Forbidden Forest in the Hogwarts Grounds.
Vampires - Vampires are magical beings that are pale and gaunt in appearance. They have a longer life span than humans, living to be over three hundred years old. However, they are not eternal, and die from old age or by being killed by another vampire. Vampires can breed with other vampires, or inter-breed with humans. A born vampire stops aging physically at some point in their life before the age of hundred, but they cannot chose when. A bitten vampire maintains the physical appearance that they had when they were human. Vampires have an aversion to garlic and live on a diet of blood.
Veelas - These are a race of semi-human, semi-magical creatures who appear to be beautiful, young human women. When full Veelas are angry, they turn into a bird-like creature with cruel-beaked bird heads and long scaly wings. Whilst angry, they can also throw balls of fire from their hands. Veelas can inter-breed with wizards, although it is unknown if they can with muggles. Veela traits seem to persist for at least a few generations, although boys born to a Veela possess no abilities, only that they are not affected by the charms of other Veelas.
Werewolves - A person becomes a werewolf when bitten by another in wolf-form. Once this happens, the person must learn to manage the condition. Occasionally, this condition (or disease) can be passed down through parentage.
Animagus is a witch or wizard who can morph him or herself into a specific animal at will. It is a learned, rather than hereditary, skill, unlike those of a Metamorphmagus. All known Animagi in the series take the same form as their Patronus. It is unknown whether all do.