Written by Ivo van Hove and Rufus Wainwright, the stage musical adapted from the 1977 film opened March 26 starring Sheridan Smith.
Hannah Chissick directs the Jerry Herman revue.
Amy Hodge will direct the musical based on Kate Pankhurst's book.
The 2008 musical by Stew and Heidi Rodewald is playing the Young Vic.
Written by Ashley Jana and Will Nunziata, the original musical will play the London Palladium.
The production is the inaugural play at the new Stage Door Theatre in Drury Lane.
Robert McWhir will direct the two-person work, which played a brief Broadway run in 2009.
Series star and creator John Cleese has penned the stage adaptation of the cult favorite Britcom.
Diyan Zora is directing the Pulitzer Prize-winning play by Sanaz Toossi.