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.
Our Products: Sunshine Music > Artist Biographies > Native American Dances > Chicken Dance. The old style chicken dance is one of the oldest forms of dancing. The dancing outfit is very different then that of the modern Traditional, Grass and Fancy Feather dances. The Men's Chicken Dance Style originates amongst the Blackfoot people. The Blackfoot are very proud of this dance. It started out as a religious society known as the Kiitokii Society. The Kiitokii Society is still practiced to this day on the Siksika First Nation in Southern Alberta.