So many, lots already named. It's true that the popular image of Paul is badly distorted, though he's brought some of it on himself.
Oh Woman, Oh Why (my old 45 is so scratchy ... put it in a boxed set, Paul)
Give Ireland Back to the Irish
Mary Had a Little Lamb (love the melody and Paul's singing. I also see this as a very defiant recording. He knew he'd get ripped for it and did it anyway.)
Get on the Right Thing
Daytime Nighttime Suffering
Don't Let It Bring You Down
Kicked Around No More