Here is one my dad taught us.

Gene Gene made a machine.
Frank Frank turned the crank
Joe Joe made it go
Art Art blew a fart and blew the whole machine apart. (I know kind of crude :-)

Here is another one: It was a dark and stormy night. The captain called to his men. Men I want to tell you a story and this is how the story goes. It was a dark and stormy night (the story starts again)