It's nice to see this topic revisited. To expound a bit more on my choice of Don't Bother Me, I remember hearing it for the first time on Meet The Beatles in early 1964. Its minor key and double-tracked vocal by George really struck me. The song's mood was different than the others on this album. I remember taking the record off the player right after I heard this track to see its credits. I learned early on that George's efforts were to be admired and I looked forward to his pieces on later albums. But it wasn't until a couple of years ago when I purchased The Alternate With The Beatles that I fully appreciated what this man did in creating his works. This album took this song from his demo, through his early takes, and to the finished piece. It was a rare glimpse into his songwriting and guitar playing ability. Somewhere in this archive of threads, I mentioned his quiet count-in and skilled guitar work on even the early takes. And I think it was raxo who answered with something to the extent of "he knew exactly what he wanted the piece to sound like." I'm sure raxo, with his special talent for finding archived threads, will post the link.
It's my feeling that George's first great song was this, his first solo composition. It's consistent with his personality and I feel he deserves that honor.