It's not Broadway, but when the Roundabout revived Tennessee Williams's THE MILK TRAIN DOESN'T STOP HERE in 2011, a male actor (Edward Hibbert) played The Witch of Capri, a traditionally female role.
An older example is the play WHOSE LIFE IS IT ANYWAY?, which opened on Broadway with a male actor (Tom Conti) in the leading role. The part was then rewritten to allow Mary Tyler Moore to replace him. The play now essentially exists in two versions -- one with a male main character and one with a female main character -- and has been revived for both men and women.
"You travel alone because other people are only there to remind you how much that hook hurts that we all bit down on. Wait for that one day we can bite free and get back out there in space where we belong, sail back over water, over skies, into space, the hook finally out of our mouths and we wander back out there in space spawning to other planets never to return hurrah to earth and we'll look back and can't even see these lives here anymore. Only the taste of blood to remind us we ever existed. The earth is small. We're gone. We're dead. We're safe."
-John Guare, Landscape of the Body