It could have been an embarrassment all round; a bunch of blokes in their seventies revisiting material that was anarchic and transformative 40 years ago but which they are now performing for 10 lucrative nights in the home of commercial comedy. Fear not, though, Monty Python Live (almost): One Down Five to Go – surely the final farewell tour – proves that quality endures. And in the hands of the show's deviser and director, Eric Idle, it can be made into something new and fresh as well.

She may have been performing for more than 30 years, but it takes some cojones to do your first solo show at the age of 56. Dawn French, with neither long-time partner Jennifer Saunders nor fellow cast members on stage, makes her debut with Thirty Million Minutes, an autobiographical show about the 30 million minutes (give or take) she has spent on this earth.

Adrienne Truscott's show was awarded the Edinburgh Comedy Awards' panel prize at the Fringe last year (Bridget Christie won the main prize for another avowedly feminist show), and if it hadn't been for its thought-provoking content and highly original delivery, then it surely deserved an accolade just for the title, Asking For It: A One-Lady Rape About Comedy Starring Her Pussy and Little Else!

David Baddiel last did solo stand-up in 2004, when he walked out of a corporate gig after calling a bunch of bankers the c-word. Since then, he's spent his time mostly writing novels and doing some television and radio projects. It's his general absence from TV, he tells us in Fame: Not the Musical - an intelligent, witty and thoughtful examination of modern celebrity - that arouses pity in some members of the public who recognise him. If he's not on the telly, his career must be on the skids, right?

Science has fallen in love with comedy – or maybe that should be the other way round. Whichever, geek is now chic, and being in possession of a brain is something to be laughed with, rather than at. All of which explains the popularity of Radio 4's The Infinite Monkey Cage, or Dara Ó Briain's School of Hard Sums on the Dave channel, both of which employ a large dose of comedy to discuss some terrifically complex topics.

If such a thing were to exist, then American essayist, humorist and raconteur David Sedaris would be a Radio 4 superstar. His broadcasts on the channel receive hit numbers and are repeated regularly, and he's a permanent fixture on those parts of the literary festival circuit that its listeners flock to. He's now touring the UK and it's sure to sell out, but it was interesting to see that his audience at Cadogan Hall was far more diverse than the channel's supposed typical listener – white, middle-class and 56 - might suggest.

My, what an entrance Jack Whitehall makes on the last night of his first arena tour. The 25-year-old - not that long ago making his Edinburgh Fringe debut - rides into the arena on a Segway with music blaring and fireworks. But he may have overreached himself, however, as a whole tier was curtained off and the remaining two were by no means full.

What a career arc Miranda Hart has had; from playing tiny venues at the Edinburgh Fringe in the early 2000s, followed by roles in television comedies including Hyperdrive, Lead Balloon and Not Going Out, to starring in her own sitcom, Miranda, and in the BBC One drama Call the Midwife. And now she is returning to live comedy not with a few dates in standard-size venues, but with an extensive arena tour.

It's a mark of Miles Jupp's charm that he can do a show with a long segment about being the father of four young children and win over both non-parents and those who wish to forget for two hours that they have left their own offspring at home with a babysitter. But in Miles Jupp Is the Chap You're Thinking Of, which I saw at the Ambassadors Theatre in London, the comic expounds at length on life chez Jupp, which appears to be a whirl of cleaning Weetabix-encrusted crockery and finding faecal matter in inappropriate places.

Young Irish actress and comic Aisling Bea made a tremendous debut with C'est la Bea at last year's Edinburgh Fringe, where she was deservedly nominated for best newcomer in the Foster's Edinburgh Comedy Awards. Now she is performing a short run at the Soho Theatre and, on second view, it's still a joyously funny show.