In Nova Scotia it would be Donair and made with beef. Here in my part of Australia it officially depends on the country of origin and kind of meat doner kebab, gyros, and, shawarma. But locally at least, no one calls it any of those: The menus just say "meat" and you usually get your choice of lamb, chicken, or mixed. You might say kebab meat and that is what you will get unless you say shish kabab or souvlaki.
To add to the ambiguity, sometimes you will see souvlaki gyros offered.