We'd call them rissoles. Only call them burgers if they're eaten as a Hamburger, and even then we're referring to the whole thing, bread and all.
We'd say burger patty or rissole for the meat part.
Looks bad, but rissoles and baked potatoes is a great easy homely meal. Often do it with mash and onion gravy too. Love experimenting with rissoles. I made some awesome honey mustard ones a month or so ago.
Alex I think I'm gonna make your Thai yellow curry this week.
Also, I was wondering if you had any instructions for making things like tacos and enchiladas and other stuff like that, because I remember you saying how bad you thought the dinner kits were, and so many people I know use the dinner kits so I would love to be able to impress them by making far better Tex Mex from scratch?