Imaginative plays that explore the expanses of inner space are all the rage at the Soho Theatre this summer. First there was a superb revival of Anthony Neilson’s Realism, which puts on stage the thoughts of one man during a solitary Saturday, then there was Lou Ramsden’s Hundreds and Thousands, which used a horror-film aesthetic to explore female longing. Now Mongrel Island, which opened last night, looks at the thoughts and emotions of one woman who has a boring office job.

Can journalists write good plays? Sarah Helm has been a Washington correspondent for The Independent during the first Gulf War in 1990, reported from Baghdad in the mid-1990s, and was based in Jerusalem for three years. So her debut play about the Iraq War, which stars Maxine Peake and opened last night, is grounded on a career of watching the Middle East.

Kafka is a bit of a stranger to British stages at the moment, but elsewhere he remains a strong presence. In his short parables, as well as in his classic novels such as The Trial, he conveys a deep understanding of the human condition. But while European postmodern culture might shrug off his insights, he is still close to the heart of some Middle Eastern theatre-makers.

Until quite recently, plays about sport were as rare as British Wimbledon winners. Then, over the past couple of years, came a whole slew of plays about various sports, led by punchy stories about boxing, from Roy Williams’s Sucker Punch to Bryony Lavery’s Beautiful Burnout. Now this growing list of recent fixtures is joined by Wexford-playwright Billy Roche’s bitter-sweet and humorous play, which originally premiered in Dublin in 2008 and opened last night in north London with several Roche veterans in its new cast.

What is a "good" death? How do most of us want to die? These are not questions that we often stop to ask, particularly in the theatre, where deaths tend to be either heroic or sordid. Two years ago, however, the playwright Nell Dunn’s partner of three decades died slowly, painfully, of lung cancer. On his last day he felt as if he were drowning, but of the five NHS professionals who visited him at home, all were trained to prolong life, none to ease the suffering of the dying. Home Death, therefore, is her story, and those of others, about dying at home: good deaths, bad deaths.

For a couple of years now British theatre has been harvesting a new crop of young female talent. Market leaders such as Lucy Prebble (Enron) and Polly Stenham (That Face) have made a splash in the West End, and where they led many others have followed.

One of the many strengths of new writing for the stage is that it’s not afraid to go into the darkest and most upsetting places of the human psyche. Whether at the Royal Court or at the Bush or Soho theatres, young playwrights have dived in to explore the grimmest reaches of our imaginations. Hundreds and Thousands, which opened last night, is Lou Ramsden’s powerful and compelling account of one family’s descent into a nightmare.

There be dragons aplenty, angels, demons and ghastly creatures both fleshy and feathered in the Globe Theatre’s inaugural production of Doctor Faustus. Christopher Marlowe’s take on the familiar Faust legend, bold in its religious content, was a controversial hit of its day, but the play’s almost medieval apposition of high thinking and knockabout farce by no means guarantees it success in the contemporary theatre. If Matthew Dunster and his team of actors fail with any of their audience it won’t be for want of trying. Throwing themselves at the material with characteristic Globe energy, theirs is a Faustus of pageantry and spectacle.

They say that moving home is always traumatic. So the Bush Theatre in west London must be feeling a wee bit fragile because it has recently upped sticks and taken up residence in the Old Shepherds Bush Library building just around the corner from its historic but rather leaky former home. Yet it’s typical of this spunky venue that it celebrates the first stages of the move with not only a trilogy of short plays, but also with an invitation to the audience to comment on its new space.

This is a play that begins after the end of an affair, and threads its precise, forensic way back to the very beginning of it. As the lovers are awkwardly reunited after two years, the theme of deceit as a web of competing and ambiguous claims is firmly established. Jerry, a literary agent, has learned that Emma, the wife of his oldest and dearest friend, with whom he had an affair for seven years, may now be having an adulterous relationship with one of his writers.