When the League of Gentlemen – Mark Gatiss, Reece Shearsmith and Steve Pemberton, plus non-performing writer Jeremy Dyson – reformed for an excellent series to update us on events in Royston Vasey (“portal to another world, or just a shit hole?”) for the BBC last year, they enjoyed it so much that they announced a tour for 2018, their first live show since late 2005.

As we enter the venue, Rose Matafeo is playing a game of mini table tennis with a member of the audience. Nothing that follows seems to relate to this “just a bit of fun to start the show” – but, trust me, it's one of the cleverest bits of misdirection you will ever see. The penny drops only at the end of Horndog, for which the New Zealander deservedly won the prestigious Edinburgh Comedy Award for best show at the Fringe at the weekend.

Rosie Jones ★★★★

There are two versions of Rosie Jones, she tells us; one nice, one not so nice. And who knows which of those would have won the battle of psyches if the comic had not been deprived of oxygen for a quarter of an hour during birth, she asks in Fifteen Minutes. It's a terrific device – subtle but pointed, witty but poignant – as she muses about what kind of person she might have been without cerebral palsy.

Luisa Omielan ★★★★

Ari Shaffir ★★★★★

Alex Edelman ★★★★★

When Alex Edelman first appeared at the Edinburgh Fringe in 2014 he walked off with the Edinburgh Comedy Award for best newcomer. Now in his third stand-up show, Just For Us, he delivers a beautifully constructed hour of narrative comedy.

Catherine Bohart ★★★★

Catherine Bohart tells us at the top of the show that she is the bisexual daughter of an Irish Catholic deacon, which is, when you consider it, a niche description. Oh, and she has OCD. That’s quite an introduction, and she more than lives up to it in this debut show, Immaculate.

When Flight of the Conchords first played at the Edinburgh Fringe they were a sleeper hit, championed by other comics and loved by critics. In 2003 they were nominated for best show in the Edinburgh Comedy Awards, a Radio Two series followed, then two series of an HBO mockumentary in which they played fictionalised versions of themselves as innocents abroad trying to make it in New York, with fellow Kiwi Rhys Darby as their manager (pictured below).

Bridget Christie tells us at the top of the show that she is a heterosexual, able-bodied, privileged white female – so why is she feeling so discontented? As she explains with great verbal dexterity in What Now?, it is living in a post-EU referendum world that has made her feel so discombobulated; left and right have no meaning any more, and – like so many British voters – she doesn’t know where her political home is.

For her past few shows, Sarah Kendall's stock in trade has been intricately crafted stories that mix fact and fiction, drawing on her childhood in Newcastle, New South Wales, and observations about the world she now lives in. Her latest show, One-Seventeen, continues in that vein, and this time she has threaded in some deeply personal material.