On my way to see this show, I see an urban fox. Before I can take a photo, it scrambles away. And I'm sure that, as it goes, it winks at me. This weird moment is a great prologue to EV Crowe's new play, virtually a monologue starring Katherine Parkinson, which is weird, and then some. And then some more. Although it is very short, at just over an hour long, it is a powerful account of female middle-class anxieties in Britain today.

Last night, I discovered the gasp index. Or maybe just re-discovered. The what? The gasp index. It's when you see a show that keeps making you exhale, sometimes audibly, sometimes quietly. Tonight I gasped about five times, then I stopped counting – I was hooked. I was obviously in the right place: the Royal Court has the reputation of being a powerhouse (to use a marketing term) of new writing.

The trouble with prejudice is that you can't control how other people see you. At the start of her career, playwright Gurpreet Kaur Bhatti's work was set in her own Sikh community. But, like other playwrights from similar backgrounds, she has tended to be pigeonholed in the category of "Asian playwright", and expected to write about clichéd subjects such as arranged marriage or religion.

Eve Leigh is an experimental playwright who has tackled difficult issues for more than a decade. Yet most members of the public will know her, and her actor husband Tom Penn, as the neighbours who recorded an altercation between Boris Johnson and Carrie Symonds in June this year. At least, that's what it says on the internet. But don't let this distract you.

Memory involves places, people, things and words, especially words. This abstract proposition is given knotty life in Welsh playwright Ed Thomas's extraordinary new play, On Bear Ridge, which comes to the Royal Court after opening at the Sherman Theatre in Cardiff last month.

Sabrina Mahfouz is a British-Egyptian writer who has explored issues of Muslim and British identity in various formats. Her work includes poetry, fiction, anthologies and performances, as well as plays. And she's pretty prolific. Since her Dry Ice was staged at the Bush in 2011, she has written some 18 other plays, of various lengths.

At the age of 81, Caryl Churchill, Britain's greatest living playwright, is still going strong. Her latest is a typically imaginative quartet of short plays. Each of them is vividly distinct, being linguistically agile, theatrically pleasurable and emotionally dark, yet all are also united by the common theme of folk tales and strongly archetypal stories.

Playwright and performer Tim Crouch is one of Britain's most innovative creatives, with a big back catalogue of challenging and stimulating stage work. Typically he tells stories about profound loss, while simultaneously questioning the basis of theatrical representation: how is what we see on stage true? In what way is it real? And how can you tell?

Few theatres have done as much to promote new young talent as the Royal Court; few theatres have done as much to stage plays about the pains and pleasures of the digital world; few venues have tackled the themes of race and gender in contemporary society more effectively. Now, once again, it's time for a young writer to make their debut in the upstairs studio space.

An apocalyptic title proves somewhat of a red herring for a slight if intriguing play that returns the dream team behind Harry Potter and the Cursed Child to their erstwhile stomping ground at the Royal Court.