THE West End is becoming a giant jukebox, with musicals based on the hits of Abba, Queen, Cliff Richard and Madness. Now comes this show for your easy-listening pleasure.

The Rat Pack: Live from Las Vegas, a touring stalwart, evokes the joint cabarets of Frank Sinatra, Dean Martin and Sammy Davis Jr at the Sands Casino in the early 1960s, when they had a Scotch in one hand and the world at their feet.

Unlike last year’s stage version of Shaun Levy’s warts-and-all book, Rat Pack Confidential, here we have Frank without JFK and the monstrous vanity (his Mob connections are tossed away as a joke), Dino pretending to be a drunk before he actually became one and Sammy not struggling with racism.

The first half has each singer deliver such signature numbers as The Lady is a Tramp, That’s Amore and Mr Bojangles. Support comes from a 15-piece band, three backing singers — all clinging dresses and womanly curves — and a piano-top cocktail bar. This is a time when men were men and women were broads — laddism in a tuxedo.

As Sinatra, Stephen Triffitt is a bit stiff with the banter but in song has the uncanny tone and inflection of Francis Albert, particularly in the saloon numbers Angel Eyes and One for My Baby. George Daniel Long’s Davis has the easy-going dynamism but is a little forced vocally. Mark Adams makes for a beefier Martin with a build that suggests he’s enjoyed the odd big pizza pie, but winningly combines bleary charm and great comic timing.

Adams is also in his element in the second half, which recreates, ad lib for ad lib, the horseplay of the trio. This means jibes at one another that even include Klan and Jewish jokes at the expense of Davis.

For a moment you sense the arrogance and cruelty that characterised Sinatra and his “pallies”, but nothing is allowed to sour the evening. Memories are made of this as long as they are rose-tinted. That’s why New York, New York and My Way, written after the Rat Pack’s Vegas reign, are included.

As Xerox concerts go, Mitch Sebastian’s production is accomplished entertainment — to use Martin’s words, the performers “dig the groove and bring this baby home”. But by the end you’re applauding the nostalgia more than the show.

Box office: 0870-901 3356