Here's the list:
Joe Cocker — With a Little Help From My Friends (love this one esp. because of the show the Wonder Years!!!)
Fiona Apple — Across the Universe
Eddie Vedder — You’ve Got To Hide Your Love Away
Ben Harper — Strawberry Fields Forever (also love Ben's rendition of John Lennon's Beautiful Boy = tear jerker)
I highly recommend you take a listen. There's so many great Beatles covers out there, but as always, the originals can never be topped!