Some people may be confused about what kinds of birds we are discussing in here. I will provide the native Australian name, names they are known by in the States (if different) and scientific name. Hope this helps!

Princess Parrot aka Princess of Wales Parakeet (Polytelis alexandrae)
Regent Parrot aka Rock Pebbler (Polytelis anthopeplus)
Superb Parrot aka Barraband, Green Leek (Polytelis swainsonii)
King Parrot aka ?? (Alisterus scapularis)
Red-Capped Parrot aka ?? (Purpureicephalus spurius)
Mallee Ringneck Parrot aka Barnard's Parakeet (Barnardius barnardi)
Cloncurry Parrot aka ?? (Barnardius macgillivrayi)
Port Lincoln Parrot aka ?? (Barnardius zonarius)
Twenty-Eight Parrot aka ?? (Barnardius zonarius semitorquatus)
Kakariki Parrot aka ?? (Cyanoromphus) from New Zealand but will be discussed here
Turquoisine Parrot aka ?? (Neophema pulchella)
Splendid Parrot aka ?? (Neophema splendida)
Elegant Parrot aka ?? (Neophema elegans)
Blue-Winged Parrot aka ?? (Neophema chrysostoma)
Rock Parrot aka ?? (Neophema petrophila)
Orange-Bellied Parrot aka ?? (Neophema chrysogaster)
Bourke's Parrot aka ?? (Neopsephotus Neophema bourkii)
Red-Rumped Parrot aka Red-Rumps (Psephotus haematonotus)
Mulga Parrot aka ?? (Psephotus varius)
Blue-Bonnet Parrot aka ?? (Northiella Psephotus haematogaster)
Hooded Parrot aka ?? (Psephotus dissimilis)
Golden-Shouldered Parrot aka ?? (Psephotus chrysopterygius)
Paradise Parrot aka ?? (Psephotus pulcherrimus) thought to be extinct
Crimson-Winged Parrot aka Red-Winged Parrot (Aprosmictus erythropterus)
Crimson Rosella (Platycercus elegans)
Green Rosella (Platycercus caledonicus)
Eastern Rosella (Platycercus eximius)
Pale-Headed Rosella (Platycercus adscitus)
Northern Rosella (Platycercus venustus)
Western Rosella (Platycercus icterotis)
Swift Parrot (Lathamus discolor)
Fig Parrot (Cyclopsitta diophthalma)

If you know these birds by any other names, or if you wish to add another species I forgot, please PM me and I will add it on. Thanks!