Thanks, GUEST,another college student and other guests & members for sharing your memories of rhymes on this thread.

I appreciate the fact that people are including demographical information with their examples.

It's interesting how so many of these rhymes are known in far flung places. It's also interesting to see the slight or the considerable differences that are found in different versions of the same rhyme over space and over time.

Special thanks, Guest another college student, for your Japanese handclap rhyme. It sounds like fun!

Btw, I don't know the "yellow, rocking/cradle?, cracker" rhyme.
Hopefully, somebody reading this will post a rhyme which will be the one you're thinking of.