There's a clear theme running through this year's autumn programme at the Southwark Playhouse: new musicals with strong feminist roots. Wasted, centred on the Bronte siblings, is landing later this month, but first there's Unexpected Joy, written by Bill Russell and composed by Janet Hood, and directed by Amy Ande

Underground Railroad Game is scabrous theatre – in every sense. To start with, Jennifer Kidwell and Scott R Sheppard’s two-hander is as down and dirty as anything you’ll find on the London stage at the moment, with one sex scene that’s belly laugh-out-loud funny, another which creates a silence of unease that chills the house.

The title of Tony Harrison's teacherly entertainment – it can't be called a play – refers to the square bullets invented by James Puckle to kill Muslims in the 18th century. This shocking morsel of information is provided by the brothers Hiram and Hudson Maxim, inventors respectively of the machine gun and smokeless gunpowder, who are two of the characters in Square Rounds.

Transatlantic theatrical traffic is busier than ever, and now here at the Hampstead is not just Stephen Karam’s Tony-winning play, first seen in 2015, but director Joe Mantello and his full Broadway cast.

Lycra, jealousy and pubescent ambition are put under the spotlight in Clare Barron’s provocative probe into the American competitive dancing scene. Dance Nation is a tarantella through the convulsions of the teen psyche as its characters respond to the psychological and physical pressures of ambitious parents circling like piranhas, and a dance teacher (Pat) with a dictator complex.

If ever there was a play of “well bandied” words, it’s surely Love’s Labour’s Lost. The early Shakespearean comedy may once have hit a highpoint for verbal wit, but much of that context – the word play, the allusions, the sheer stylistic preening that must have had a certain in-joke quality for its initial courtly audience – has rather evaporated over the centuries.

Theatre for children can often be dismissed – a box to tick for parents who want to keep up with cultural practices; a job for actors who haven't quite made it in the mainstream; theatre that mums and dads want to see that works for their little ones, too.

Asked to nominate the most important playwright in America since the war, theatregoers would probably plump for Arthur Miller, Edward Albee or David Mamet. But in terms of sheer popularity there is another candidate.

A break-dancing mini Michael Jackson, a transvestite Neptune, and a hero who wears his hubris as proudly as his gold-tipped trainers, are unconventional even by Shakespeare’s standards, but they all play a key part in this joyful act of subversion.

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