I did a bit of searching and found a few good resources for clapping rhymes and such. Try these:

The Grade School Anthropolgist

Jump Rope Rhymes

An especially good site I found is called, Heard it in the playground which contains a wide variety of things of this sort. Besides a small collection of clapping games displayed there, you can even hear "Miss Mary Mack" on this page from that site:
Clapping games (Netscape version)
or here:
Clapping games (Explorer version)