It has been seven years since Alexei Sayle last toured, with radio shows and books detaining him elsewhere, but he's back with a bang. As he walks on stage, he immediately starts railing about the “Eton boys running the country”; instead of hailing the school for having produced 20 prime ministers, “it should be in special fucking measures.” Oh, we've missed him.

Matt Forde sets out his stall in Brexit: Pursued by a Bear from the first line: “We meet in diabolical circumstances.” These aren't good times, he says, with two major leaders in the Western world whose relationship with the truth is merely that of passing acquaintance. Add in the UK's continuing divisions over Brexit, and diabolical seems apt.

When Frank Skinner did a London run of new material last year, the show was billed as a taster of a longer touring version. I wrote then that the show whetted my appetite for more, and I'm glad to say that the updated version, Showbiz, which now has a West End residency, has delivered.

A mixed bill rarely pleases all comedy tastes – whether in style or content – and so it proved at the launch of the Leicester Comedy Festival, which starts next month. In a line-up of eight comics that had few star names, the best came last – but more of that later.

Andy Parsons is a comic known to like a good old rant, particularly on a political issue. But in Healing the Nation he takes a calmer, more conversational approach as he tries to do what it says on the tin in a show that he fully expected to be performing after the UK left the EU – but more of Brexit later.

Jack Whitehall is hardly ever off the telly, appearing on gameshows or jollying around with his father, Michael, presenting the BRIT Awards and proving to be a decent actor in dramas such as Decline and Fall. But now he's gone back to live comedy with his new show Stood Up.

Ivo Graham's latest show The Game of Life follows on from his previous hour, in which he talked about passing a milestone in life and the prospect of starting a family.

Jack Dee has made a career out of being a grumpy old man, even though he started on the comedy circuit in 1986 when he was 25.

Is there anything Tim Minchin cannot do? He sings his own songs, plays hot bar-room piano and tells jokes about the existence of God. He composes musicals, performs in Lloyd Webber and Stoppard, writes a multimillion-dollar Hollywood cartoon which he is allowed to direct – until he isn’t.

It has been 15 years since Ben Elton, known as Motormouth in his 1980s heyday – last toured. A decade-and-a-half ago, one of the instigators of alternative comedy tells us at the top of the show, he could have still passed muster as young or cool.