Where’s my classical repertory theater?

If I had to name the one artistic institution that the U.S. most palpably lacks and could most benefit from, it would be a permanent repertory theater that focuses not just on Shakespeare but the entire classical repertory of world theater: Schiller, Goethe, Lope de Vega, Calderon de la Barca, Tirso de Molina, Cervantes, the Greek and perhaps Latin playwrights, Marlowe, Corneille, Kalidasa, Yuan and Noh drama, etc. — as well as the usual suspects who do get regularly performed (Shakespeare, Ibsen, Chekhov, Moliere, etc.).

I’m not sure that a repertory theater with such scope exists even in Europe.

What combination of impresario, directors, actors, and foundations will make this possible? Would such an enterprise best be located in a large city such as New York or Chicago, where it would compete with many commercial companies? Or in a medium-sized city, where it would become a national, perhaps even international, cultural magnet?