Growing up, I was torn between Led Zeppelin and the Beatles, and I'm not sure why. I posted some Led Zeppelin songs and now for some Beatles. What got me going with the Beatles is the song All You Need is Love, which I first heard watching the final episode of The Prisoner. I became an instant Beatles/John Lennon fan. Later, Imagine and Cold Turkey came out and also strongly affected me. John Lennon was probably my favorite of The Beatles.
When I had my band Ophelia's Dream, I did John Lennon's song Cold Turkey. It was a fun and intensive song to play, especially when I would go into the screaming part of Lennon going cold turkey off of heroin. He was also doing primal scream therapy.
I like the Stones too. Great party music. I really got into them about 1979 or so, with Some Girls, and bought almost everything. They would be stationed in Toronto to do rehearsals before a tour. Now and then Mick would show up at a nightclub. I saw them with the Voodoo Lounge Tour and I liked the expression of Kieth when he played a wrong note... he just smiled.
Yeah, you are probably right that the second video can't be seen in some countries. I've taken footage from the TV series The Prisoner and the All You Need is Love simulcast. That probably violates copyright in these countries to the point of not showing it. Normally, if you violate copyright YouTube just says that they can add advertisements to your video.
I used to do Jumping Jack Flash of the Stones with my band. It's more sped up and a bit more of a Johnny Winter version. Here it is at a party we played at: