Vet wrap of 2 inches or less is often used to treat birds. 2 inches for large birds and 1 inch for smaller birds. Some people like to tear larger sizes down. Wing wraps stabilize fractures.
Fun uses for birds include play stands, perches and gyms for parrots. 2 to 4 inch widths work as bird perch wrap for building PVC bird perches or homemade bird playgrounds/parrot playgrounds (you may want to go up to a 4 inch width if you're building one of these).