Moonburger At least in certain subsets of New York, Moonburger has fanfare in equal measure amongst those who eat meat as well. These burgers first made their debut at a drive-thru in Kingston, New York before the team expanded with other upstate outposts in New Paltz and Poughkeepsie. Recently, it debuted its first in Brooklyn. Don’t skip the seasonal shake flavors, made with oat milk, as well. Vegetarian burgers can be made vegan with a cheese substitute.