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.
In China, it was used as a symbol of conjugal bliss and joy. The butterfly was particularly revered by the tribes of the American southwest. Its dance is performed by both Navajo and Hopis.In the Hopi tradition, unmarried girls of the butterfly clan wore their hair in the shape of butterfly wings to advertise their availability. To Native Americans, the butterfly is a symbol of change, joy and color.The exquisite butterfly was considered a miracle of transformation and resurrection. In the Old World, the connotation was negative; the butterfly was thought to be the spirit of the dead.or many, the beginning of the New Year signals a sense of transformation â a time to evaluate life in its current state and set goals for manifesting change. The butterfly symbolizes transformation and joy. Its dance reflects the need for movement from where we are to our next phase of being.