1. "Hey Bulldog"
3. "Martha, My Dear"
Yes, I know "Hey Bulldog" was mostly written by John Lennon, so it arguably doesn't belong here. But it was originally called "Hey Bullfrog," until McCartney started barking up a storm on the outro, at which point they changed the title. So Paul is responsible for whatever canine leanings that song has.
You know how that song came about, right? The Beatles went into the studio to film a promo clip for "Lady Madonna" just before they went to India, and "Paul said we should do a real song in the studio, to save wasting time," Lennon said later. So while they were being filmed allegedly playing "Lady Madonna," they were in reality laying down "Hey Bulldog." Some bright boy recently had the idea of going back into that footage and recutting it to show the song the band was really playing. Here it is: