Whether they have any extant function or not, they have lost their former function and in that sense they do fit the definition of vestigiality. Vestigial structures are often called vestigial organs, although many of them are not actually organs.
There are quite a few birds famous for doing ritualized mating dances, so I would only list 5: The Red Capped Manakin, The Black-footed albatross, The Western and Clark's grebe, The Superb bird of Paradise, & The Victoria's riflebird.
Native American Symbols â Water Bird, Peyote Bird, Thunderbird. The Water Bird is a symbol of the renewal of life, rainy seasons, rivers, distant travel, distant vision & wisdom. It is often also referred to as the Peyote Bird because the Water Bird plays a significant part in the Native American Indian Church Peyote meetings and, in fact, since the early 1900âs has been the symbol of the NAC. Peyote Bird.