When there is a greater selection, those would typically be differentiated. cold cuts may not be the correct term, thank you for bringing it up, what I would want is both, a generic tag for a counter where “something of everything” is sold (as you can find in convenience stores and small supermarkets) but also a specific way to tag cheese (and maybe other dairy products), “specialties” (according to local customs, maybe should be more specific which kind of specialty), meat based sliced food (ham, salami, etc.), salads, pies, fish, sweat bakery, other bakery and whatever is locally needed and can be amended.
