Part Biblical melodrama, part Carry On Up The Colosseum, with a bit of Horrible Histories thrown in for good measure, it’s hard to see how John Wolfson’s wildly uneven The Inn at Lydda graduated from a rehearsed reading last season to a full-blown production. Director Andy Jordan does what he can with this historical mishmash, but there’s no disguising the fundamental flaws in the play’s construction.

She gave us the most moving King Lear years before the news broke that Glenda Jackson would be playing the role. Only Mark Rylance has recently matched the malicious wit of her Globe Richard III. Now Kathryn Hunter spellbinds in a very Shakespearean downfall drama about the court of Ethiopian Emperor Haile Selassie – but this time the Elect of God doesn’t actually appear in person, not literally at any rate, and the triumph is shared by everybody involved, lighting and soundscape designers included.

Ever since Lucy Prebble’s hit masterpiece, Enron, opened our eyes to the possibilities of staging plays about global finance in a thrillingly theatrical way, the hunt has been on for another story that can be as informative and as well staged. Step forward Beth Steel, whose Wonderland, her previous play at this address, looked at Yorkshire miners in the 1980s Miners Strike. Now she travels across the pond in the late 1970s, to look at the similarly arcane activities of New York bankers.

Alice Birch is one of the most exciting playwrights to have arrived in the past five years. This restaging of the brilliantly titled Revolt. She Said. Revolt Again. – which was first put on as part of the Royal Shakespeare Company’s Midsummer Mischief festival in June 2014 – demonstrates not only the power of her theatrical imagination, but also her enormous technical skill and sense of emotional truth. In the original playtext, she stresses that “this play should not be well behaved”, which sounds like an incitement to messiness.

For the final show in his year-long stay at this West End address, Kenneth Branagh has chosen to revive and star in John Osborne’s 1957 play. By doing so, he finds himself once again treading in the footsteps of Sir Laurence Olivier, who originally created the role. It’s not the first time he’s shadowed the legendary actor. In 1989, he played Henry V on film, and then also the great man himself (in the 2011 film Marilyn and Me).

Do you carry a small part of the Congo every day on your person? Probably. Your mobile phone will contain coltan, aka columbite tantalum, which is used to make your electronics work better. And this is mined in the Congo. The trouble is that fluctuating prices for this mineral, as well as competition for such resources, encourages conflict between militia groups, which is one reason for the constant wars in this region of Africa. Another reason is the legacy of colonialism. Another reason is unfettered masculinity. And so it goes on.

Angel by Henry Naylor, Gilded Balloon ★★★★

Rehana tells us what her hometown Kobane, in Syria, is like – “A small border town where nothing happens … like Berwick-on-Tweed” – a typically wry and smart line in Henry Naylor's final instalment of his “Arabian Nightmares” triptych (following The Collector and Echoes).

Alan Cumming Sings Sappy Songs ★★★★★

Is this even theatre? Hardly – cabaret, more like, as Scottish actor-author-provocateur Alan Cumming sings his way through songs by Sondheim, Weill, Lady Gaga and more, interspersing them with anecdotes about tattoos, Liza Minnelli and a less than happy childhood.

The New York theatre is so consistently awash in "star is born" moments when one or another British actor crosses the Atlantic to copious praise that it's lovely for a change to be able to reverse the kudos. And as Phil Connors, the jaded weatherman for whom February 2 threatens to become a personal Waterloo, Broadway veteran Andy Karl in his London stage debut sends the stage musical adaptation of Groundhog Day soaring.

Southwark's golden triangle – the Menier, the Playhouse and the Union – has given us so many "lost" musicals which only a decade or so ago would have been lucky to get in-concert airings.