Yesterday

It must be a common fantasy.

There was some anthology show years ago---I don't know if it was when they brought The Twilight Zone back or if it was something else. But there was one episode where an Elvis impersonator finds himself transported back to the 1950's. I only watched the beginning and the end of the episode, but it appeared that he accidentally killed Elvis and had to take his place.

Apparently there's a movie out called Yesterday where a struggling singer songwriter finds that the world has somehow forgotten The Beatles, so he starts performing their music and hits it big.

Here's the way I would have done it:

Members of a British girl band find themselves whisked back in time to the early '60's. They struggle to adapt to this new environment. They're thrilled to meet The Beatles! They start dating them. The Beatles are known to have been wife beaters. When members of the girl band are battered by their new boyfriends, they get even by copyrighting the Beatles early songs before the Beatles have written them and then suing them for plagiarism when the Fab Four play their own compositions.

In the end, the Beatles would be working on the loading docks or whatever they have in Liverpool, ruined and humiliated, while the girls enjoy modest success stealing their music from the future.