One of my favorite fall or winter dishes, Hungarian Goulash is simply a "stew" of sorts with paprika added. The German version contains no potatoes, while the Hungarian version usually adds potatoes and sometimes even carrots.
My first encounter with Hungarian Goulash was in a very old paperback Crock Pot cookbook. That version added ketchup instead of tomato paste, and while good and one my family enjoyed, we've since had it the German way and far prefer it.
What is goulash? In Hungarian cuisine, traditional "Gulyásleves" (literally "goulash soup"), "bográcsgulyás", pörkölt, and paprikás were thick stews made by cattle herders and stockmen. Garlic, caraway seed, bell pepper, and wine are optional. These dishes can be made as soups rather than stews. Excepting paprikás, the Hungarian stews do not rely on a flour or roux for thickening. Tomato is a modern addition, totally unknown in the original recipe and in the whole Central European food culture until the first half of the twentieth century.
German Gulasch is either a beef (Rindergulasch), pork (Schweinegulasch), venison (Hirschgulasch), or wild boar (Wildschweingulasch) stew that may include red wine and is usually served with potatoes (in the north), white rice or spirelli noodles (mostly in canteens), and dumplings (in the south). (source: wikipedia)