The Peacock Mediterranean Grill is an all-day spot in the Austin Proper Hotel downtown from the people behind places like June’s, Elizabeth Street Cafe, and Swedish Hill. And just like all of those restaurants, the food here is consistently excellent. The menu includes a mix of kind-of-healthy things like tajines, grilled kebabs, grains, and dips (that come with homemade pita bread). No matter what else you get, start with the cheese saganaki, an appetizer of bubbling fried cheese – something we’d eat every day if we could.