Here's two more:

There's one I haven't heard in many years, about being an old folk singer. It contained the line

Street life sure is fun, when your twenty one
Brother, I ain't twenty one no more

and had a chorus that went

But I could make them cry to ...
Sing along to Row Your Boat Ashore

The recording of it was a live recording, and it ended with the singer segueing into Michael Row The Boat Ashore and getting the audience to sing along. Does anyone else recognize this?

The other one is by Robbie O'Connell, about the perils of being a real Irish singer in American Irish communities. The chorus goes:

Your not Irish, you can't be Irish
You don't know Danny Boy
Or Too-Ra-Loo-Ra-Loo-Ra
Or even Irish Eyes
You've got a hell of a nerve to say you come from Ireland
So cut out all the nonsense and sing MacNamara's Band