We have a few cafes here that just do coffee and other drinks, and some that do drinks plus cakes/biscuits/slices/sweets. Then there are the cafes that are almost small restaurants in that they have full menus. But both of those are completely different from the milk bars I knew when I lived in rural areas, or indeed the milk bars we have in Townsville, which are much more like small corner stores for the most part (though we have the fish and chip shop variant here too in some of the suburbs). "Deli" to me means a place that sells meats and cheeses and things.