Not on Broadway ( but hopefully it will get a chance to get there) -- but it played at the Donmar Warehouse on the West End:
Michael Ball's critically acclaimed "ALONE TOGETHER" - a story about the life of a performer told in songs and half-songs ( encompassing songs of Broadway's and America's best composers - Jolson, Berlin, Porter, Gershwin, Styne, Kahn, Herman, Schwartz, Rodgers/Hammerstein/Hart, Ellington, Kern, Merrill, Sondheim,Yorke, Bowie, Guettel and many more). There are no words spoken but simply a musical tapestry of song and acting.
Btw, if you're interested, ALONE TOGETHER is available on DVD. It was released on Region 2 and Region 1 - but I am not sure if there are still available Region 1 copies. Try Amazon.co.uk.
I agree with the posters who mentioned I AM MY OWN WIFE. It was even more thought-provoking the second time seeing it. It is unlike anything I have ever seen and offers no easy explinations.
Ditto THE SEARCH FOR INTELLEGENT LIFE...but I'd LOVE for Lily & Jane to write a sequel.