Dunkin Donuts are baked, Krispy Kreme fried. And if you're from the South, the KK is dounut of choice (except for local shops that make similar styles)
I can tell people who weren't raised on KKs... they actually call the donut Krispy Kremes. Their trademark donut is the 'glazed'. If you go into a store and order, you say, "Gimme a dozen glazed and a dozen mixed" (mixed being the chocolate covered, creme filled, sprinkled whatever).
The glazed are really only good when they're hot. That's why they have a sign that lights up when they're coming off the conveyor that says, "Hot Doughnuts Now". The other styles are okay cold I guess. I never eat those.