The setting is Dublin. We're talking modern-day and down-at-heel in this major new musical which has a deliberately scruffy look – with a launderette glowing in the dark and a concrete, four-storey housing block hulking upstage. The adaptation is by Roddy Doyle himself, based on his 1987 comic novel.

Charity gigs, by their very nature, are usually jolly affairs, and Brighton Comedy Festival’s opening gala at the Dome was no exception. It had a stellar line-up, but also the advantage of being hosted by Alan Carr (the patron of The Sussex Beacon, in whose aid it was given) who was, like most of the guests, on cracking  form.

Mark Thomas is telling us how he organised a large gay rights comedy gig outside the Russian consulate in Edinburgh (where this show was part of the Fringe), how it was a huge success, how the local police chief affably arranged for the street to be blocked off to traffic, and how the comedian Stephen K Amos raised a huge cheer of support for the cause to which one policeman on duty responded with enthusiastic and heartfelt applause. Such behaviour, Thomas commented, after a suitable pause, had the potential to ruin his livelihood.

Ardal O'Hanlon is best known as Father Dougal in the much missed Father Ted (created by Arthur Mathews and Graham Linehan), but he started life as a stand-up and he clearly brought many of his own qualities – although not the dimwittedness – to the lovable Irish priest, as an hour of his latest show proves. He riffs on matters ranging from Catholic guilt and racial stereotyping to monogamy and paedophilia without once offending anyone.

Newcomer Ronny Chieng doesn't waste any time trying to get the audience on his side. He outlines his interesting ethnic background – born in Malaysia to Chinese parents, several years spent in the United States and Singapore, and he did a law degree in Australia - but that mix is distilled into his Chinese ethnicity and its innate superiority to anything Western.

He says he's tried reclaiming the word 'chink', in the style of black rappers and the n-word

Australian stand-up Matt Okine made his UK debut at the Edinburgh Fringe last month and earned himself a best newcomer nomination in the Edinburgh Comedy Awards, to add to his best newcomer award at 2012's Melbourne Comedy Festival (jointly won with Ronny Chieng). He's certainly an assured performer, even if his observational humour relies too heavily on the everyday in Being Black & Chicken & S#%t.

Tony Hancock stopped producing the work on which his reputation rests the best part of half a century ago. He still casts a long old shadow. Many years before BBC Four embarked on its series of biodramas, a life of Hancock starring Alfred Molina captured some of that hulking self-disgust. More recently Paul Merton has become a one-man module in Hancock studies, even going so far as to re-enact some of the old Half Hours. The absence of the real thing only served to remind the audience of Hancock’s ineffable charisma.

Tig Notaro, Gilded Balloon ****

“I've been busy. I've been growing my hair out.” Not the the most animated start to an hour of comedy, but that's how American Tig Notaro begins Boyish-Girl Interrupted, one of the most original 60 minutes I've seen at the Fringe, and certainly the most laidback.

Glenn Wool, Assembly George Square ****

There are some comics who can always be relied upon to create engaging and funny shows, and the Canadian Glenn Wool is one of them. His comedy appears to be straightforward stand-up – anecdotes are interspersed with one-liners and puns, with occasional interaction with the audience, to create a small world of his own, with more than a touch of the surreal about it.

John Lloyd, Underbelly Bristo Square ****