Answer from Piñata Boy
When making any kind of piñata, what you’re really doing is making a hollow papier mâché sculpture, and then decorating it. So how you go about making a buzzard piñata depends on how you imagine it looking. If it’s a classic buzzard pose, kind of hunched over with wings at the sides, then you’ll need to make a body, a head/beak, add a couple folded wings at its sides, and add feet.
I would probably use balloons for the head and body, add a beak with thin cardboard or cardstock, and then use either long balloons to shape the wings or make them out of thin cardboard. Noelle Mason posted a photo her buzzard piñata here. http://pinataboy.com/show-us-yours/60th-birthday-buzzard/ You can see from that photo how she constructed and decorated hers, and it looks great.