Yeah, Raxo is right on the money!
It's from a show called Around The Beatles - so called because the Beatles are performing with the audience (of screaming girls!) all around them - the title was derived from the Shakespearian tradition of performing plays 'in the round'.
Also appearing on the show were Long John Baldry, Sounds Incorporated and, making his very first appearance on British TV, PJ Proby!
The show, filmed at Wembley Studios London, was broadcast on 28th April 1964. The show gives the impression that they are performing live - they are not! They actually recorded their songs on 19th April at IBC studios, Portland Place, London, and mimed to them on the show!
The set list of the show is as follows:
Twist And Shout
Roll Over Beethoven
I Wanna Be Your Man
Long Tall Sally
Medley:
Love Me Do/Please Please Me/From Me To You/She Loves You/I Want To Hold Your Hand
Can't Buy Me Love
Shout
The interesting thing about THIS set is the fact that Shout (an Isley Brothers hit from 1959) is performed! Actually it's more like Shout part 2, which was the b-side of Shout - the bit where it goes "a little bit louder now...". This is the only recorded version available of this track.
Four of the tracks (without screams!) appear on the Anthology One CD - I Wanna Be Your Man, Long Tall Sally, Boys and an edited version of Shout. The good news is there is (or was!) a video available of their performance - however, this did not feature the Shakesperian sketch. The video was called (rather confusingly!) The Beatles Live Ready Steady Go Special Edition. It was released in 1985 by DCI (Dave Clark International) & Picture Music.
The full show, including the sketches and PJ Proby etc is available on bootleg (I'll let you know full details if anyone is interested in tracking this down!).