Pat
Three Thousand Club
I think I want to join this as either a successful Incan Empire or a still-standing Holy Roman Empire.
I think the latter is more agreeable. When I do this I think that, if I don't restrict this to a somewhat more 'modern' divergence, where most nations of the world look like they do now, it wouldn't be too recognizable. Of course, it's already going to be crazy, but I think you get what I mean.
Of course, you can provide a good counter argument if you want.