At chili parlors in and around Cincinnati, "coney" is a nod to a Coney Island hot dog, though more in name than in presentation. The default version includes mustard, chili, and diced onions on a very soft steamed bun; a cheese coney ($1.65) hides any trace of the wiener under shredded cheddar. Once a month you can find them in Manhattan, too, priced accordingly.
1 East High St., Oxford, Ohio
(one of many locations)