George Harrison was definitely my favorite Beatle. I highly suggest to anyone to pick up the "Concert For George" DVD or CD. Paul, Ringo, Eric Clapton (who was a good friend of George, and he also played the guitar on "While My Guitar gently Weeps), Tom Petty and the Heartbreakers (he played with George in the Traveling Willburies), Jeff Lynne, and countless other great musicians, doing awesome covers of George's songs.
I read an excellent biography of George a couple times called "Here Comes the Sun" which aims to primarily document George's spiritual journey. HE was a HUGE Religious dude, Adopting Hinduism during his trips to India. he met the Dali lama, and countless Hindu gurus. Most of his musical work for and after the Beatles centered around his beliefs. "Something" and "Within You Without You" were influenced by Hindu beliefs.
Needless to say, my favorite Beatles songs were written by George. "Something" and "Old Brown Shoe" definitely top my Beatles Favorites list.
However, just a couple of months ago, Paul mcCartney played at the White House as he won the the Gershwin Prize. Jack White did an awesome cover of "Mother Natures Son" (albeit unorthodox (because he is one unorthodox guy (But a brilliant guitarist)))
YouTube - IN PERFORMANCE AT THE WHITE HOUSE | Jack White "Mother Nature's Son" | PBS
Did you see what he did their? Hahaha