Has Fatburger http://www.fatburger.com/ really not been mentioned yet? Back in the 90's you use to see quite a mixed crowd of celebrities, pimps and clubbers at the La Cienaga Fatburger in LA at 3 or 4am. All red faced and chugging down double CB's with greasy fries.

While I'm sure I don't remember every time I've eating late night junk while drunk, I clearly remember waking up in a mountain village in the Nagano prefecture of Japan very hung over one morning. And the place I was staying at only served things like raw octopus in the morning. Raw octopus does NOT make great hangover food. I had to take a bus to a McDonalds of all places to find something for my stomach. Desperation.