I have followed the taxonomic hierarchy of  OSNZ
Dinornithiformes   (moas)
Apterygiformes  ( kiwi) (endemic)  
Apterygidae  
Apteryx mantelli North Island Brown
Apteryx mantelli Okarito Brown
Apteryx haastii Great Spotted
Apteryx owenii Little Spotted
Apteryx australis Haast Tokoeka
Apteryx australis Southern Tokoeka
 
Podicipediformes   (grebes)  
Podicipedidae  
Podiceps cristatus Australasian crested grebe
Poliocephalus rufopectus New Zealand dabchick (endemic)
Tachybaptus novaehollandiae Australasian little grebe
 
Procellariiformes   (albatrosses, fulmurs, petrels)
Diomedeidae  
Diomedea exulans Toroa, Wandering albatross 
Diomedea epomophora Toroa, Royal albatross (endemic)
Diomedea melanophys Black-browed mollymawk
Diomedea cauta Shy mollymawk
Diomedea chrysostoma Grey-headed mollymawk
Diomedea chlororhynchos Yellow-nosed albatross
Diomedea bulleri Buller’s albatross(endemic)
Phoebetria palpebrata Light-mantled sooty alabatross
Procellariidae  
Puffinus carneipus Toanui, Flesh-footed shearwater
Puffinus pacificus Wedge-tailed shearwater
Puffinus bulleri Buller’s shearwater (endemic)
Puffinus griseus Titi, Sooty shearwater   Muttonbird
Puffinus tenuirostris Short-tailed shearwater
Puffinus gavia Pakaha, Fluttering shearwater (endemic)
Puffinus huttoni Hutton’s shearwater (endemic)
Puffinus assimilis Little shearwater
Procellaria cinerea Grey Petrel
Procellaria parkinsoni Taiko, Black petrel (endemic)
Procelleria westlandica Westland petrel (endemic)
Procellaria aequinoctialis White-chinned petrel
Lugensa brevirostris Kerguelen petrel
Pagodroma nivea Snow petrel
Daption capense Cape pigeon
Thalassoica antarctica Antarctic petrel
Fulmarus glacialoides Southern fulmar
Macronectes giganteus Pangurunguru, Southern giant petrel
Macronectes halli Pangurunguru, Northern giant petrel
Pachyptila turtur Titi Wainui, Fairy prion
Pachyptila crassirostris Fulmar prion
Pachyptila desolata Whiroia, Antarctic prion
Pachyptila vittata Parara, Broad-billed prion
Halobaena caerulea Blue petrel
Pterodroma pycrofti Pycroft’s petrel (endemic)
Pterodroma cookii Cook’s petrel (endemic)
Pterodroma nigripennis Black-winged petrel
Pterodroma axillaris Chatham petrel (endemic)
Pterodroma inexpectata Korure, Mottled petrel (endemic)
Pterodroma cervicalis White-naped petrel (endemic)
Pterodroma neglecta Kermadec petrel
Pterodroma macroptera Oi, Grey-faced petrel,
Pterodroma magentae Magenta petrel, Chatham Island petrel (endemic)
Pterodroma lessonii White-headed petrel
Pterodroma mollis Soft-plumaged petrel
 
Hydrobatidae(Oceanitidae)  
Oceanites oceanicus Wilson's storm petrel
Oceanites nereis Grey-backed storm petrel
Pelagodroma marina Takahikare-moana, White-faced storm petrel
Fregetta Tropica Black-bellied storm petrel
Fregetta grallaria White-bellied storm petrel
Oceanites maorianus New Zealand storm petrel
Pelecanoididae  
Pelecanoides urinatrix Common diving petrel
Pelecanoides georgicus South Georgia diving petrel
Sphenisciformes   (penguins)  
Spheniscidae  
Aptenodytes forsteri Emperor penguin
Aptenodytes patagonicus King penguin
Megadyptes antipodes Hoiho, Yellow-eyed penguin  (endemic)
Pygoscelis papua Gentoo penguin
Pygoscelis adelie Adelie penguin
Pygoscelis antartica Chinstrap penguin
Eudyptula minor Korora, Little blue penguin 
Eudyptes chrysocome Rockhopper
Eudyptes pachyrhynchus Tawaki, Fiordland crested penguin (endemic)
Eudyptes robustus Snares crested penguin (endemic)
Eudyptes sclateri Erect-crested penguin (endemic)
 
Pelecaniformes   (cormorants, pelicans)
Phaethontidae 
Phaethon rubricauda Red-tailed tropicbird
Phalacrocoracidae 
Phalacrocorax carbo Kawau, Great black shag
Phalacrocorax varius Karuhiruhi, Pied Shag
Phalacrocorax sulcirostris Little Black Shag
Phalacrocorax melanoleucos Kawaupaka, Little Pied Shag
Leucocarbo carunculatus King Shag (endemic)
Leucocarbo chalconotus Stewart Island Shag (endemic)
Leucocarbo onslowi Chatham Island Shag (endemic)
Leucocarbo ranfurlyi Bounty Island Shag (endemic)
Leucocarbo colensoi Auckland Island Shag (endemic)
Leucocarbo campbelli Campbell Island Shag (endemic)
Stictocarbo punctatus Parekareka, Spotted Shag (endemic)
Stictocarbo featherstoni Pitt Island Shag (endemic)
Sulidae 
Morus serrator Takapu, Australasian gannet 
Sula dactylatra Masked booby
 
Anseriformes   (ducks.,geese, swans)
Anatidae 
Cygnus olor Mute swan
Cygnus atratus Black swan
Branta canadensis Canada goose
Anser anser Grelag goose
Tadorna variegata Putangitangi, Paradise shelduck (endemic)
Tadorna tadornoides Australian shelduck
Hymenolaimus malacorhynchos Whio, Blue duck (endemic)
Anas platyrhynchos Mallard
Anas gracilis Grey teal
Anas aucklandica Pateke, Brown teal  (endemic)
Anas rhynchotis Australasian shoveler
Anas superciliosa Grey duck
Aythya novaeseelandiae New Zealand scaup (endemic)
Mergus australis Auckland Island merganser (extinct endemic)
 
Ciconiiformes   (flamingoes,herons, storks)
Ardeidae 
Ardea novaehollandiae White-faced heron
Egretta alba Kotuku, Great white heron
Egretta garzetta Little egret
Egretta sacra Matuku Moana, Reef heron
Bubulcus ibis Cattle egret
Nycticorax caledonicus Rufous night heron
Botaurus poiciloptilus Matuku, Australasian Bittern
Threskiornithidae(plataleidae) 
Platalea regia Kotuku-ngatupapa, Royal spoonbill
 
Falconiformes   (hawks,vultures)
Accipitridae 
Circus approximans Kahu, Australasian harrier 
Falconidae 
Falco novaeseelandiae Karearea, New Zealand falcon  (endemic)
 
Galliformes   (domesticfowl, game birds)
Phasianidae 
Coturnix novaezelandiae Koreke, New Zealand quail (extinct endemic)
Callipepla californica California quail
Colinus virginianus Bobwhite quail
Alectoris Rufa Red-legged partridge
Alectoris chukar Chukor
Perdix perdix Grey partridge
Synoicus ypsilophorus Brown quail
Phasianus colchicus Pheasant
Pavo cristatus Peafowl
Meleagris gallopavo Turkey
Numida meleagris Tufted guineafowl
 
Gruiformes (Ralliformes)  (cranes, hemipodes, gallinules)
Rallidae 
Rallus philippensis Banded rail
Rallus pectoralis Auckland Island rail
Gallirallus australis Weka (endemic)
Porzana tabuensis Puweto, Spotless crake
Porzana pusilla Koitareke, Marsh crake
Porphyrio porphyrio Pukeko,
Porphyrio mantelli Takahe (endemic)
Fulica atra Australian coot
 
Charadriiformes   (gulls, shore birds)
Charadriidae 
Charadrius obscurus Tuturiwhatu, New Zealand dotterel  (endemic)
Charadrius bicinctus Banded dotterel (endemic)
Charadrius melanops Black-fronted dotterel
Charadrius leschenaultii Large sand dotterel
Charadrius mongolus Mongolian dotterel
Thinornis novaeseelandiae Shore plover (endemic)
Anarchynchus frontalis Wrybill (endemic)
Pluvialis fulva Pacific golden plover
Pluvialis squatarola Grey plover
Vanellus miles Spur-winged plover
Arenaria interpres Turnstone
Haematopodidae 
Haematopus ostralegus Torea, South Island pied oystercatcher
Haematopus unicolor Torea-pango, Variable oystercatcher (endemic)
Haematopus chathamenis Chatham Island oystercatcher (endemic)
Laridae 
Larus dominicanus Black-backed gull
Larus novaehollandiae Red-billed gull
Larus bulleri Black-billed gull (endemic)
Chlidonias leucopterus White-winged black tern
Sterna albostriata Tarapiroe, Black-fronted tern   (endemic)
Sterna Caspia Taranui, Caspian tern 
Sterna Striata Tara, White-fronted tern
Sterna fuscata Sooty tern
Sterna vittata Antarctic tern
Sterna nereis Tara-iti, Fairy tern (endemic)
Sterna albifrons Little tern
Sterna paradisaea Arctic tern
Procelsterna cerulea Grey ternlet
Gygis alba White tern
Recurvirostridae 
Himantopus himantopus Poaka, Pied stilt 
Himantopus novaezelandiae Kaki, Black stilt  (endemic)
Scolopacidae 
Coenocorypha aucklandica Hakawai, NewZealand snipe (endemic)
Coenocorypha pusilla Chatham Island snipe (endemic)
Calidris canutus Huahou, Lesser knot 
Calidris tenuirostris Great knot
Calidris alba Sanderling
Calidris ferruginea Curlew sandpiper
Calidris acuminata Sharp-tailed sandpiper
Calidris melanotos Pectoral sandpiper
Calidris ruficollis Red-necked stint
Numenius madagascariensis Eastern curlew
Numenius phaeopus Whimbrel
Numenius minutus Little whimbrel
Limosa lapponica Kuaka, Bar-tailed godwit
Limosa limosa Black-tailed godwit
Limosa haemastica Hudsonian godwit
Tringa incana Wandering tattler
Tringa terek Terek sandpiper
Stercorariidae 
Catharacta skua Brown skua
Catharacta maccormicki South polar skua
Stercorarius parasiticus Arctic skua
Stercorarius pomarinus Pomarine skua
 
Columbiformes   (doves, pigeons)
Columbidae 
Hemiphaga novaeseelandiae Kereru, New Zealand pigeon  (endemic)
Columba livia Rock pigeon
Streptopelia roseogrisea Barbary dove
Streptopelia chinensis Malay spotted dove
 
Psittaciformes   (parrots)
Cacatuidae 
Cacatua galerita Sulphur-crested cockatoo
Cacatua roseicapilla Galah
Psittacidae 
Strigops habroptilus Kakapo, Owl parrot (endemic)
Nestor meridionalis Kaka, (endemic)
Nestor notabilis Kea, Mountain parrot  (endemic)
Platycercus eximus Eastern rosella
Cyanoramphus unicolor Antipodes Island parakeet (endemic)
Cyanoramphus novaezelandiae Kakariki, Red-crowned parakeet (endemic)
Cyanoramphus auriceps Kakariki, Yellow-crowned parakeet (endemic)
Cyanoramphus malherbi Kakariki, Orange-fronted parakeet (endemic)
 
Cuculiformes   (cuckoos)
Cuculidae 
Chrysococcyx lucidas Pipiwharauroa, shining cuckoo 
Eudynamys taitensis Koekoea, Long-tailed cuckoo  (endemic)
 
Strigiformes   (owls)
Strigidae 
Ninox novaeseelandiae Ruru, Morepork  
Sceloglaux albifacies Whekau, Laughing Owl  (extinct)
Athene noctua Little or German owl
 
Coraciiformes   (kingfishers)
Alcedinidae 
Dacelo novaeguineae Laughing kookaburra
Halcyon sancta Kotare, Kingfisher
 
Passeriformes   (passerines, perching birds)
Acanthizidae 
Gerygone igata Riroriro, Grey warbler (endemic)
Gerygone albofrontata Chatham Island warbler (endemic)
Alaudidae 
Alauda arvenis Skylark
Callaeidae 
Callaeas cinerea Kokako  (endemic)
Philesturnus carunculatus Tieke, Saddleback  (endemic)
Heteralocha acutirostris Huia  (extinct endemic)
Corvidae 
Corvus frugilegus Rook
Cracticidae 
Gymnorhina tibicen Australian magpie
Emberizidae 
Emberiza citrinella Yellowhammer
Emberiza circlus Cirl bunting
Eopsaltriidae 
Petroica macrocephala Miromiro, Tomtit  (endemic)
Petroica australis Toutouwai, New Zealand robin   (endemic)
Petroica traversi. Black robin   (endemic)
Fringillidae 
Fringilla coelebs Chaffinch
Carduelis chloris Greenfinch
Cardulelis carduelis Goldfinch
Carduelis flammea Redpoll
Hirundinidae 
Hirundo tahitica Welcome swallow
Meliphagidae 
Notiomystis cincta Hihi, Stitchbird  (endemic)
Anthornis melanura Korimako, Bellbird  (endemic)
Prosthemadera novaeseelandiae Tui  (endemic)
Monarchidae 
Rhipidura fuliginosa Piwakawaka, Fantail  
Motacillidae 
Anthus novaeseelandiae Pihoihoi, New Zealand pipit  (endemic)
Muscicapidae 
Turdus merula Blackbird
Turdus philomelos Song thrush
Pachycephalidae 
Mohoua albicilla Popokatea, Whitehead  (endemic)
Mohoua ochrocephala Mohua, Yellowhead  (endemic)
Mohoua novaeseelandiae Pipipi, Brown creeper  (endemic)
Paradisaeidae 
Turnagra capensis Piopio, New Zealand thrush  (extinct endemic)
Ploceidae 
Passer domesticus House sparrow
Prunellidae 
Prunella modularis Dunnock
Sturnidae 
Sturnis vulgaris Starling
Acridotheres tristis Myna
Sylviidae 
Bowdleria punctata Matata, Fernbird  (endemic)
Xeniciddae (Acanthisittidae) 
Acanthisitta chloris Titipounamu,Rifleman (endemic)
Xenicus longipes Matuhi, Bush wren (endemic)
Xenicus gilviventris Rock wren(endemic)
Zosteropidae 
Zosterops lateralis Tauhou, Silvereye,
 
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