In Germany the "rich" private schools are almost exclusively business schools. So it's only an option for you, if you're a professor of economics or finance, not if you're a physicist or a philosopher.

Well, I think there is one highly esteemed journalism school (not a university, but run by large media companies) and a pretty good law school.

(Interestingly enough all those "rich" private business schools here fail after a few years because they run out of money -- not without taking quite a bit of taxpayer's money trying to save them.)