What services can I use to listen to old music?

I like to listen to fairly old music (60's, 70's stuff mostly). I can't afford to get everything I want on the iTunes store. I've had some very bad experiences in the past with illegally downloading, and subscription services like Spotify and Apple Music don't have the music I like. They don't even have the Beatles, actually. Are there any other services similar to these things where I can download old music to a library for listening at anytime, like iTunes or Spotify?