This tutorial from Twodaloo shows how to make a simple sistrum from a forked stick from a tree, some craft wire, and buttons or beads. For fun, paint and decorate the stick first.
Bear Elective Adventure: A World of Sound
Printable helps for requirements:
Kix cereal has an article which gives step-by-step instructions to make a rainstick from common household materials. A rainstick is an instrument which sounds like rain when you turn it.
Almost Unschoolers shows how to make a mbira from bobby pins, craft sticks, and thumbtacks. A mbira is a “thumb piano” of African origin. Music is made by plucking metal tines.