Question: What director co-starred in a screenplay inspired by George Bernard Shaw's play?

Context paragraphs:
George Bernard Shaw: His Plays: George Bernard Shaw: His Plays (1905) is H. L. Mencken's interpretation of G. Bernard Shaw's plays, in which Mencken overwhelmingly embraced the man who was, at that time, his favourite playwright.

George Bernard Shaw: George Bernard Shaw ( ; 26 July 1856 – 2 November 1950), known at his insistence simply as Bernard Shaw, was an Irish playwright, critic and polemicist whose influence on Western theatre, culture and politics extended from the 1880s to his death and beyond.  He wrote more than sixty plays, including major works such as "Man and Superman" (1902), "Pygmalion" (1912)" and Saint Joan" (1923).  With a range incorporating both contemporary satire and historical allegory, Shaw became the leading dramatist of his generation, and in 1925 was awarded the Nobel Prize in Literature.

Pygmalion (play): Pygmalion is a play by George Bernard Shaw, named after a Greek mythological figure.  It was first presented on stage to the public in 1913.

Saint Joan (film): Saint Joan (also called Bernard Shaw's Saint Joan) is a 1957 British-American film adapted from the George Bernard Shaw play of the same title about the life of Joan of Arc.  The restructured screenplay by Graham Greene, directed by Otto Preminger, begins with the play's last scene, which then becomes the springboard for a long flashback, from which the main story is told.  At the end of the flashback, the film then returns to the play's final scene, which then continues through to the end.

SHAW: The Annual of Bernard Shaw Studies: SHAW: The Annual of Bernard Shaw Studies is an academic journal devoted to the works and life of George Bernard Shaw.  The journal is published annually by the Penn State University Press.  The journal formerly went by the names "Bulletin (Shaw Society of America)" (1951–1958) and "The Shaw Review" (1959–1980).

Gingold Theatrical Group: Gingold Theatrical Group, often abbreviated as GTG, is a New York-based non-profit theatre company.  It was founded in 2006 by American actor and director David Staller.  Its mission is to present works that carry the humanitarian values of writer and critic George Bernard Shaw.  It presents several series, including the annual festival Shaw New York, and the monthly series of staged readings, Project Shaw.  Through this series, GTG became the first theatre group to present all 65 of George Bernard Shaw's plays.

The Devil's Disciple: The Devil's Disciple is an 1897 play written by Irish dramatist George Bernard Shaw.  The play is Shaw's eighth, and after Richard Mansfield's original 1897 American production it was his first financial success, which helped to affirm his career as a playwright.  It was published in Shaw's 1901 collection "Three Plays for Puritans" together with "Captain Brassbound's Conversion" and "Caesar and Cleopatra".  Set in Colonial America during the Revolutionary era, the play tells the story of Richard Dudgeon, a local outcast and self-proclaimed "Devil's disciple".  In a twist characteristic of Shaw's love of paradox, Dudgeon sacrifices himself in a Christ-like gesture despite his professed Infernal allegiance.

Irving Fiske: Irving L. Fiske (born Irving Louis Fishman; March 5, 1908 – April 25, 1990) was an American playwright, writer, and public speaker.  He worked for the Federal Writer's Project of the Works Progress Administration (WPA) during the 1930s, corresponded with George Bernard Shaw, wrote an article now considered a classic, "Bernard Shaw’s Debt to William Blake," and translated Shakespeare's "Hamlet" into Modern English.  He and his wife Barbara Fiske Calhoun co-founded the artist's retreat and "hippie commune" Quarry Hill Creative Center, on the Fiske family property, in Rochester, Vermont.

Mighty Aphrodite: Mighty Aphrodite is a 1995 American romantic comedy film written, directed by, and co-starring Woody Allen, alongside Mira Sorvino, Helena Bonham Carter, Michael Rapaport, and F. Murray Abraham.  The screenplay was inspired by the story of "Pygmalion" and is about Lenny Weinrib's (Allen) search for his genius adopted son's biological mother, ultimately finding that she is a dim-witted prostitute named Linda Ash (Sorvino).

LÉ George Bernard Shaw (P64): LÉ "George Bernard Shaw" (P64) is a "Samuel Beckett"-class offshore patrol vessel (OPV) which, as of March 2017 , is under construction for the Irish Naval Service.  It is expected to be named for writer George Bernard Shaw, and the fourth ship in a series of vessels designed by Vard Marine and built by Babcock Marine Appledore.

Supporting paragraphs: Mighty Aphrodite Pygmalion (play)
Answer: Woody Allen