Most doughnuts I see that are labelled "old-fashioned" are glazed cake doughnuts, but not the same as sour-cream doughnuts.
Personally my favorite doughnuts would be yeast based, with no glaze. The doughnuts at American Chinese restaurants/buffets are so good. Nice chewy texture, savory flavor to the dough, and a coating of granulated sugar for just enough sweetness.
Crullers are my second favorite, though I prefer them without any glaze.