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.
Birds and other animals: Whistler's most common â and notorious â bird is the whiskey jack, well known for stealing food from the hands of unsuspecting hikers. Eagles, red-tailed hawks, grouse and osprey can also be seen. The lakes and wetlands are home to blue herons, ducks and other waterfowl.