When it comes to the racier rhymes, I remember 2:

Cinderella, dressed in yella
Went downtown to see her fella
On the way her girdle busted
How many people were disgusted?
1,2,3, etc (sung while a kid jumped rope)
__________

Lulu had a steamboat
The steamboat had a bell
Lulu went to heaven,
The steamboat went to
Hello operator
Give me number 9
If you disconnect me
I’ll beat your black behind the ‘frigerator (we were a group of African American kids)
I had a piece of glass.
Lulu sat upon it
And cut her little
Ask me no more questions
I’ll tell you no more lies
That’s the life of Lulu
And that was how she died.

Heh… I just had a flashback of Wanda P. the second grade schoolyard bully threatening to beat me up – that very day! – if I didn’t sing this “nasty” song with her. I sold out. Wanda hit hard!