This isn't really ranks, but
Yale is the most theoretical school, Wharton (surprisingly) is (so I have heard from a Yale stats grad) the second most theoretical, and Columbia is also quite theoretical.
Generally, I think if a school focuses on applied research, it's better for industry, but if a school focuses on theory, it's better for academia.
Columbia is apparently going through some financing issues right now. They will pay for your entire 4-5 years, but it's said that what they pay isn't enough to live in New York, where everything is just incredibly expensive.
Harvard is great all around I think because research opportunities abound there, and professors at other schools esteem Harvard.
Stern seems like it would be good for industry preparation, but I think speaking with the department and seeing what they focus on is helpful.