If you're in Copenhagen and hankering for some classic Danish open-faced sandwiches (smorrebrod), beer and snapps in a typical local setting, then get yourself over to Cafe Sorgenfri. This is my father in law's favorite restaurant in the city. Its mandatory that we eat here at least once during every trip to Denmark. Granted, as food goes, he has simple tastes, but I'm never sorry when we head to Sorgenfri. Its normally filled with Copenhagen locals, eating smorrebrod, drinking beer and snapps and generally enjoying the cosy atmosphere in the tiny, basement restaurant. The place has a great ambience and is the perfect place to hygge on a winter day, while filling your belly with comfort food (Danish style) and beer!
I normally have an order of the roasted pork (which they've won awards for, apparently) and the "Pariser Boeuf" (Paris Beef is basically a hamburger patty that comes with some tasty add-ons like horseradish, braised red cabbage, egg, etc.). My wife swear's by the smoked salmon.
Favorite Dish Roasted Pork smorrebrod. Delicious!