Anyone who has seen a previous Dave Gorman show or his television series Modern Life Is Goodish knows what to expect: a show that's part lecture, part conversation, all pedantry, done with the aid of a PowerPoint presentation – clicker, laptop and onstage big screen as important as the patter, the text on screen often providing an addendum gag to the one he has already told, or increasing our anticipation of a payoff yet to come.

The #MeToo movement is barely a year old, but it is already prompting some clever and insightful comedy – from standalone jokes or set-pieces in several comics’ shows, or, here, a very funny but frequently discomfiting hour that delves deep into the subjects of gender, relationships and toxic masculinity.

As a former adviser to Harriet Harman and Ed Miliband – and a woman who has put her name forward to be a Labour Party candidate at a Westminster election – Ayesha Hazarika certainly knows her politics from the inside. So a show with the title Girl on Girl: The Fight For Feminism promises to be avowedly political.

The Edinburgh Fringe does throw up some oddities – in comedy shows, of course, but also in its dishing out of awards. And so it was that Ciarán Dowd's marvellous Don Rodolfo deservedly gained the Edinburgh Comedy Award for best newcomer, even though he's an old Fringe hand. But as his previous work was as part of the sketch troupe BEASTS he was eligible for this, his debut solo show.

Considering where Motion Sickness ends up, Ivo Graham's new show begins a million miles away, as he talks about his love of trains and his favourite train company, Chiltern – or “The Chilt”. But don't be fooled by this quotidian fare; what begins as a seemingly aimless wander down a path of nothing very much packs an emotional punch by the end of the hour.

Blimey, Nish Kumar is angry. Angry about Donald Trump, angry about misogyny, angry about racism, angry about Brexit – angry about a lot of things. But before anyone could dismiss It's In Your Nature to Destroy Yourselves as a checklist of woke priorities for the liberal metropolitan elite, he turns the joke against himself – it shows how upside down the world is, he says, that a 33-year-old comic whose favourite food is dips has become a spokesman for the politically engaged.

Katherine Ryan was making her West End debut – a big moment in any comic’s career – but she made her entrance on stage at the Garrick unannounced. Yet if the opening to Glitter Room was strangely underwhelming, it wasn’t long before the Canadian’s trademark waspish style was to the fore and the sass kicked in.

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.