Parrots are members of the order Psittaciformes, which includes more than 350 bird species, including parakeets, macaws, cockatiels and cockatoos, according to the Integrated Taxonomic Information System (ITIS). Though there are many types of parrots, all parrot species have a few traits in common. For example, to be classified as a parrot, the bird must have a curved beak, and its feet must be zygodactyl, which means there are four toes on each foot with two toes that point forward and two that point backward.