Ok, to say you've never heard these songs is a little much, but I am sure that if someone were to ask you to name Beatles songs, if your not some Beatles nerd, I'm almost positive that a lot of these songs wouldn't be the first ones out your mouth. On that note, lets get started.....
The List
10. Within You Without You
-Sgt. Peppers Lonely Hearts Club Band

This song is extremely spacey yet still catchy. Because of this psychedelic feel and its obvious eastern influence, this song never really gets the credit. To be able to put together a piece of music with instruments which are not what they are use to playing and for it to come out this well is definitely an achievement worth noting which is why it is on this list.
9. I'm Looking Through You -Rubber Soul

The simplicity of this song is what I think makes it great. For most of the song its just an acoustic in one ear and singing in the other. Its songs like this one that really shows what made The Beatles great. Even though the song sounds so simple and easily reproducible, its not. Great song on a great album that is growing on me with every listen.
8. She Said, She Said -Revolver

"She Said, She Said" just gets in your head. The heavily overdriven guitar really gives the song its personality and drives it forward through its catchy verses and chorus. A great song that has been lost in the vast catalog of music that is The Beatles.
7. I Me Mine -Let It Be

I just love this song. From its guitar solo and organ beginnings, to its message, to its driving chorus tempo change. Everything about this song is great. Out shadowed by another certain song on this album that will go unmentioned, this song still holds its own and deserves more than it gets.
6. You've Got To Hide Your Love Away -Help!

No vivider song paints such a visual in The Beatles collection of work than this one. "Here I stand, head in hand, turn my face to the wall." I mean come on, that's just ridiculous. Plus it has a great part in the chorus where the audience can sing-a-long. I first heard this song at a Pearl Jam concert when I was only 15 years old and Eddie Vedder came out on stage before the opening act and sang it to get everyone from walking around. I loved the song from then on out and hope that when you hear it you will too.