Lafayette Coney Island is the place to be at about 2:15AM after all the bars have closed and their patrons have the munchies. The waiters are rude, the coneys are cooked in about 30 seconds, they serve canned beer (before midnight), and the decor is the same that is was in the late 1970s.
However, this is best place to eat late in all of Metro Detroit. The coneys and chili flies slide down your beer coated throat at 2am and it is wonderful. If you come to Detroit and don't go to Lafayette, then you've truly missed out on an American institution.
Next door is American Coney Island. It looks cleaner and nicer. Don't go there, Lafayette is the place to be.