So many...!!!! These isn't gonna' be in order, for the record...
"Smile"
"Mercy"
"Heaven and Hell"
"She's Gonna' Blow Your House Down"--any of the skat-lyric versions
"Wake Up, Dead Man"--from the "Salome" tapes, as well
"Street Mission"
"Be There"
"Wild Irish Rose"
And...
"Sweet Baby Jane"--I know that this song is often seen as sinfully bad (or it usually is in much that I read), I really love it. I won't ramble on or anything, but I love the melody, I love the hook, and I love some of the sentiments in the lyrics. It is a failure, yes...but a fascinating train wreck to watch. Sometimes the songs that don't really work are a lot more interesting than the ones that do, and I think that "Sweet Baby Jane" is a great example.
God...there are still SOOOOOOOOOO many more...!!!! I guess that that'll be enough for now, though. I really dig on a great deal of these kinds of songs.