Norwegian Wood is acoustic, pretty much.
George Harrison and Paul Simon recorded an accoustic version of Here Comes the Sun, not to mention Harrison's accoustic While My Guitar Gently Weeps.
Act Naturally is country-ish, so no problem there.
She is Leaving, that was with harp acompaniment. You could also do their other music hall ones.
Girl, Girl, Girl (if that's the title).
Blackbird.
I'd imagine Ticket to Ride would work as well as Can't Buy me Love or even She Loves You.