A fine example is "Sad Saint John". I don't know how to describe this song's beauty in words. It does have something to do with the guitar part that dissipates through the sound and makes for a creepy/beautiful atmosphere.
Another amazing example is "Circe", and it's one of the most unusual ones too. It sounds so much like a roadtrip song to me, it's not even funny. There's the trademark piano sound, the acoustic guitars, and the cowboy feel all the way throughout. This reminds me that one of the many reasons why I love The Residents is the wide variety that permeates through their music. They're always making something new and interesting that makes me want to continue listening to them until the day where I finally grow tired of them finally comes.
Until it comes, Arkansas will remain as one of my favorite Residents releases, simply because it's the only outtake compilation that I actually feel like listening to every so often. These songs may be rejections, but they're still classics from The Residents' modern era, and should not be ignored.