Rhinoceros ★★★★★

Scott Gibson won best newcomer at last year's Edinburgh Comedy Awards for Life After Death, about the near-fatal brain haemorrhage he had as a 24-year-old in 2009. It happened after the Glaswegian had been to Blackpool for a stag weekend with 11 mates, including the groom “Junkie Steve”. Some rich material for an hour of comedy in there...

Five nominations for the Edinburgh Comedy Award are surely a recommendation for James Acaster – and with his intelligent, offbeat humour and a wry delivery, he has rightly built up an impressive following at the Fringe (where I saw this show), having improved his craft year on year. Now he embarks on his biggest tour yet and is certain to add to his rapidly growing fanbase.

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).

Zoë Coombs Marr, Underbelly Cowgate ★★★

Zoë Coombs Marr's debut show last year, Dave, gained a lot of attention, and rightly so. Dave is an old-school male comic whose line in misogyny doesn't sit well in modern comedy – even if his material might find an audience in the wider world.

Richard Gadd, The Banshee Labyrinth ★★★★★

Richard Gadd wryly tells us at the end of Monkey See Monkey Do that he thought it was a good idea to put this thought-provoking show, with its deep seam of theatricality and emotion, in the comedy section of the Fringe brochure. And in truth it could sit easily as a theatre show, albeit one with frequent laughs. But at its heart is a deeply personal and highly revelatory story about an incident in Gadd's life that caused him to re-evaluate who he is both as a person and as a man.

Bridget Christie, The Stand ★★★★★

When Bridget Christie planned this show, it was to be a work in progress about mortality for a tour starting later this year. But then the EU referendum happened, and everything changed. Within the space of a few weeks, she had written this heartfelt polemic about Brexit, and it's an astonishingly accomplished and moving work.

Alix in Wundergarten ★★★★

Think Alan Ayckbourn on acid: a commonplace (well, almost) set-up, exaggerated further and further beyond what we’d ever anticipate.

The show's title, Outside, Looking In, might suggest we're in for some philosophising from Ed Byrne – but then, after 22 years in the business, the Irish observational comic has earned the right. And indeed, he covers subjects such as feminism, slut-shaming and gender imbalance, but in the mix there is also some material about the perils of dating and a graphic description of food poisoning. Even the cleverest comics – and Byrne is assuredly one of those – can't resist the occasional lavatorial gag.

Kieran Hodgson, Voodoo Rooms ★★★★

When Kieran Hodgson was growing up in West Yorkshire in the early years of the century, he was obsessed with two things – cycling and Lance Armstrong, then the greatest cyclist the world had ever seen.