This web site has listed all 185 songs created by The Beatles - in the order of popularity according to the writer. There are links to each song that provide some background about the genesis and execution of the song.
It's an interesting list. I was a big Beatles fan in the 1964-1967 time frame, then they lost me with the hippie/drug culture songs. That wasn't me.
My list would be different. I haven't heard quite a few of the ones on the list because they were after my "time."