Edinburgh Fringe: Kevin Eldon/ Lovelace: A Rock Musical/ Jeremy Lion/ Susan Calman

Kevin Eldon: Titting about in his first solo show, but his character comedy is huge fun

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He may call it Titting About, but Kevin Eldon’s show, his first as a solo performer (at the grand age of 49), should be made compulsory viewing for young comics. For this is a man who has learned his craft, the value of good writing, of stage presence, of timing and myriad other things while putting together a lengthy CV that includes Nighty Night, I’m Alan Partridge, Fist of Fun and Brass Eye. If you have seen him in any of those, you will know he's a comedic actor of great range and restraint.

Edinburgh Fringe: Daniel Kitson/ Leisa Rea/ Misconception

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Daniel Kitson only occasionally performs at comedy venues at the Fringe these days - perhaps a late-night spot here and there, though not a full set - but it has become almost a tradition that he writes a new piece for the Traverse each year. On the cusp of comedy and theatre is, surely, storytelling and Kitson, winner of the Perrier comedy award 2002, has become a storyteller of excellence.

Edinburgh Fringe: Jason Cook/ Lee Kern/ Barrow Street Theatre

Jason Cook: The Geordie comic's show is about his suspected heart attack last year

Heart-warming stuff from a Geordie funnyman and an astonishing comic debut

He may describe himself as “a Geordie chancer”, but in reality Jason Cook is a warm comic whose material is utterly devoid of cynicism. Yet he’s far from being pious - he spices up his act with caustic barbs for deserving targets (quite often himself) and has a raft of sharp putdowns for hecklers who think they’re wittier than he is.

The Unforgettable Bob Monkhouse, ITV1

Bob Monkhouse: 'What's the difference between roast beef and pea soup? Anyone can roast beef...'

Penetrating look back at the multi-talented Monkhouse

He wasn't a jack of all trades, said his friend June Whitfield, "he was a master of all trades". The charge of "smarminess" dogged Bob Monkhouse throughout his career, but as this quietly penetrating documentary made clear, he was highly intelligent, multi-talented and had a lot of layers he kept to himself. Actor, scriptwriter, singer, novelist (though they didn't really mention that part), stand-up comic, cartoonist, radio star, gameshow host and posthumous campaigner against the prostate cancer that killed him - the only thing Monkhouse couldn't manage too successfully was his work-life balance.

Alan Moore's Unearthing, Old Vic Tunnels

Could this be the most edifying local history lecture ever?

It's very hard to ever know what to expect from Alan Moore, the Mage of Northampton. The author of era-defining comics like Watchmen, V For Vendetta and From Hell has long maintained that art and magic are one and the same, and since the mid-1990s his works have often tended to be long and complex explications of various occult principles, which while eye-opening can often lose readers in all their baroque unfoldings.

Andy Hamilton, Blackheath Halls

Andy Hamilton: watching his show feels like being down the pub with a witty and erudite mate

Lo-fi but laugh-filled show with satirist and panel-show regular

Most people know Andy Hamilton from his frequent (and very droll) appearances on panel shows such as Have I Got News For You and The News Quiz on television and radio, but he is also a prolific writer. His writing credits could take up the whole of this review, but a brief CV includes Not the Nine O’Clock News, Drop the Dead Donkey, Old Harry’s Game and, most recently, the equally excellent Outnumbered on BBC One, which he co-writes with Guy Jenkin. But now, with Hat of Doom, he is going back to where he started in comedy and doing a stand-up tour.

Hans Teeuwen, Soho Theatre

Hans Teeuwen offers a disjointed joy ride round his warped subconscious

Dutch absurdist wanders onstage from the psychiatrist's couch

“You pay money I be funny?” There are times in stand-up when it seems the wrong kind of transaction has taken place. A comedian brings a warped vision of the world to a paying public. He – and the weirder ones are always a he – parade neurosis, dysfunction and fixation that, in the normal scheme of things, they really ought to be working through every week with a psychotherapeutic professional at whatever the hourly rate over however many years. But if you fixed the warp, you’d kill the laughter. So yes, as Hans Teeuwen summed up neatly in the voice of a Filipino table dancer, we pay money he be funny. And forget the shrink.

American: The Bill Hicks Story

Bill Hicks: his dark, subversive material was before its time

Affectionate and innovative biopic of iconic American comic

If I had a fiver for every time I have heard a comic described (usually by the comic himself) as “the new Bill Hicks”, I would be rather comfortably off. It’s tosh, of course, and, as his brother astutely says in American: The Bill Hicks Story, only Bill Hicks could be Bill Hicks, because what you saw on the outside was what was on the inside. Hicks himself is in no position to argue either way: he died, aged 32, from pancreatic cancer in 1994. Those who die at the height of their powers are usually conferred icon status; some deserve it; many do not. On balance, Hicks almost certainly does, as this very fine biopic by Matt Harlock and Paul Thomas shows.

Ricky Gervais, Wembley Arena

THEARTSDESK AT 7: RICKY GERVAIS Alternative theology preached to the multitudes

Comedian preaches his alternative theology to the multitudes of the arena

Do look away now if you’re squeamish. Why? Because before the star turn has even made his entrance, a film is shown on the screen suspended above the stage. An earnest American advises that there is a global shortage. Jumbo jets have been spraying deliveries from the skies. Donations are coming in, but billions of gallons are simply not enough. He is drinking more than the world can supply. But what can this precious nectar possibly be?