I remember part of one from way back...sung to the tune of Try to Remember.

Alfred E. Neuman with brain of albumin
Will win just like Truman did from Missouri
Back him and then we can say once again
What me worry, worry, worry...

And part of another one sung to the tune of the Air Force song. It was about dentists.

We dislike cavaties left untreated
Teeth look bad full of decay
When we're in doubt - we pull them out
Oh, nothing can stop a dentist today!

A Christmas song, sung to the tune of Good King Wi....can't spell it:

Ooooohhhhh, Oh
Cards from Linda, cards from Sue
Cards with 10 cents postage due
Ever sending, never ending
Cards you'd like to tear into!