For the sake of completeness, here's "I'm Wishing," the song from Snow White and the Seven Dwarfs which John's mother Julia used to sing to him (which then partly inspired the lyric for "Secret"). And besides, it's Disney.
And, finally, here's a random cover of "Do You Want to Know a Secret." What an inspired gem.
(If any of the embeddings is disabled, go here, here, or here, respectively).