Film-maker and playwright Mike Leigh simply doesn’t do revivals. His method of working - which involves a group of actors improvising characters and situations until a story emerges - runs contrary to any notion of returning to a play after its premiere. So it is quite astonishing to report that, for the first time, Leigh has revisited one of his own plays, Ecstasy, which he originally put on at the Hampstead Theatre in September 1979, and which is now back at the same venue.

Dark this new one-act drama by American playwright Neil LaBute may be; deep, not so much. It has all the author’s usual hallmarks: an accumulation of sinister tension, disturbing sexual politics, the threat of violence. And in a taut, pacey production heralded by an opening soundtrack of punishingly loud grunge-rock music and directed by LaBute himself, it’s acted with conviction by Olivia Williams and Matthew Fox, best known for TV’s Lost. The writing also makes murkily playful use of fairytale imagery and undercurrents of classical tragedy.

Tender, funny and overwhelmingly moving, Trevor Nunn’s revival of this 1942 drama by Terence Rattigan – part of the playwright’s centenary-year celebrations – is a masterly piece of theatre. The big box-office draw may be Sienna Miller, but she’s by no means the star of the show: if there is one, it’s Sheridan Smith, whose performance is nothing short of glorious.

It’s not often you find yourself advised at the start of a West End performance that “mobile phones, photography and fellatio are not permitted”, but then The Hurly Burly Show isn’t exactly your average theatrical fare. The first time the West End has seen a major burlesque revue, the show’s move from a small cabaret club in Soho to the Garrick Theatre reflects a changing attitude to this ancient art. If you believe the hype, women across the UK, in bedrooms, boardrooms and the tinned-goods aisle of Tesco, are all shedding their clothes and donning nipple tassels – in the name of female empowerment, of course.

Blithe Spirit was born in the shadow of the Blitz: Noël Coward, whose London home had just been bombed, wrote it in Portmeirion, Wales, in 1941 over a brisk six days. But the evil Hun never once puts in an appearance (over breakfast, the characters briefly wonder whether there's anything of note in the morning's Times; of course, there is not). Another, more complicated war is being waged here: the battle of the sexes.

Recently, some British playwrights have gone back to school, and found that it feels very much like a war zone. All the old tensions between teachers and pupils have escalated into open conflict: knives are drawn, punches thrown and arguments are settled by fights. Likewise, the language is disrespectful at best, and always expletive-heavy. Vivienne Franzmann’s new play, which visits London after opening in Manchester last month, frankly refers to a war zone in its title, and its action is scarcely less antagonistic.

Dave is a bomb, waiting to go off. He’s dangerous because he seems so ordinary. Late-twenties, he’s nothing much to look at. He wears a suit. Works as a civil servant in some absurdly obscure government department. No girlfriend. If truth be told, a bit of a piss-head really. But the thing that makes him dangerous is that - as the title of DC Moore’s 2010 play makes clear - he fancies himself as a truth-teller. He’s painfully honest, and, worse, he uses honesty as a weapon. So when you meet him in a pub, watch out.

If it only had a heart. Animal cruelty, a sadistic green-faced witch, flying monkeys: L Frank Baum’s story, which spawned the MGM movie that made Judy Garland a star, is downright grotesque. And when it’s not unsettling you with its rusty Tin Man, straw-brained Scarecrow and camp Cowardly Lion, it’s making you gag on its sickly platitudes about best friends, family and finding your heart’s desire in your own backyard.

As acting challenges go it borders on the foolhardy: impersonate not just in looks and mannerisms but in musical skill too some of the most truly iconic figures of the 20th century. And do it up close and personal with an audience who know the subjects' work inside out to boot. It seems almost impossible that a cast could manage to convincingly portray the (real) musical meeting of Elvis Presley, Johnny Cash, Jerry Lee Lewis and Carl Perkins at Sam Phillips's Sun Studios in 1956, but Million Dollar Quartet has managed successful and continuing runs in Chicago and on Broadway, so they must be doing something right, mustn't they?

At the moment, most of the energy in British new writing seems to be coming from American and Irish playwrights. This is such a regular phenomenon, one that comes around every few years, that it seems idle to speculate on the reasons for it; surely, it’s enough to welcome another new talent from Ireland? As well as being the artistic director of Tall Tales theatre company, Deirdre Kinahan is a prolific playwright. Her UK debut, Moment, opened last night at the Bush Theatre in west London, and is an engrossing study of a dysfunctional family.