What are wild horses called?

Depending on their ancestors, there are many breeds of modern wild horses. Some of them are:
the Banker horse on the Outer Banks of North Carolina,
Brumby, the wild horse of Australia,
Garrano, a wild horse native to Portugal,
the Misaki horse in Japan,
Mustang in western USA,
the Kaimanawa horse from New Zaeland and many more.