Comprehensive List of Companion Birds
This is by no means complete at this point so I ask if you see that your species is not listed email me with the name and scientific name so that I can enter it into the list.
If you would like to have a picture of a particular speices included with this list sent me a jpeg copy and your name and web site so that I can credit you with the picture, this is as space allows for this iste.
                      African
  common name                                scientific name
Black Parrot                            Coracopsis nigra
Black-cheeked Lovebird           Agapornis nigrigenis
Black-collared Lovebird            Agapornis swindernianus
Black-winged Lovebird             Agapornis taranta
Broad-billed Parrot                   Lophopsittacus mauritianus
Brown-headed Parrot               Poicephalus cryptoxanthus
Cape Parrot                             Poicephalus robustus
Fischer's Lovebird                    Agapornis fischeri
Grey Parrot                     Psittacus erithacus
Grey-headed Lovebird              Agapornis canus
Jardine's Parrot                        Poicephalus gulielmi
Mascarene Parrot                    Mascarinus mascarinus
Masked Lovebird                     Agapornis personatus
Meyer's Parrot                         Poicephalus meyeri
Niam-Niam Parrot                    Poicephalus crassus
Nyasa Lovebird                        Agapornis lilianae
Peach-fronted Lovebird            Agapornis roseicollis
Red-bellied Parrot                     Poicephalus rufiventris
Red-faced Lovebird                  Agapornis pullarius
Rüppell's Parrot                        Poicephalus rueppellii
Rodriguez Parrot                      Necropsittacus rodericanus
Senegal Parrot                         Poicephalus senegalus
Yellow-faced Parrot                 Poicephalus flavifrons
Vasa Parrot                             Coracopsis vasa

                     Amazons
Black-billed Amazon                 Amazona agilis
Blue-cheeked Amazon              Amazona dufresniana
Blue-fronted Amazon                Amazona aestiva
Cuban Amazon                         Amazona leucocephala
Festive Amazon                        Amazona festiva
Green-cheeked Amazon            Amazona viridigenalis
Hispaniolan Amazon                 Amazona ventralis 
Lilac-crowned Amazon             Amazona finschi
Kawall's Amazon                     Amazona kawalli
Mealy Amazon                         Amazona farinosa
Orange-winged Amazon           Amazona amazonica
Puerto-Rico-Amazon                Amazona vittata
Red-necked Amazon                Amazona arausiaca
Red-lored Amazon                   Amazona autumnalis
Red-spectacled Amazon           Amazona pretrei
Red-tailed Amazon                  Amazona brasiliensis
Scaly-naped Amazon               Amazona mercenaria
St. Lucia Amazon                    Amazona versicolor
Tucumán Amazon                    Amazona tucumana
Imperial Amazon                     Amazona imperialis
St. Vincent Amazon                Amazona guildingii
Vinaceous Amazon                  Amazona vinacea
White-fronted Amazon             Amazona albifrons 
Yellow-lored Amazon               Amazona xantholora 
Yellow-billed Amazon               Amazona collaria
Yellow-faced Amazon              Amazona xanthops
Yellow-shouldered Amazon       Amazona barbadensis
Yellow-crowned Amazon          Amazona ochrocephala

Cockatoos

Black Cockatoo                           Calyptorhynchus funereus
Blue-eyed Cockatoo                     Cacatua ophthalmica
Cockatiel                                      Nymphicus hollandicus
Ducorps' Cockatoo                       Cacatua ducorpsii
Galah  Cockatoo                           Eolophus roseicapillus
Gang Gang Cockatoo                    Callocephalon fimbriatum
Glossy Cockatoo                          Calyptorhynchus lathami
Goffin's Cockatoo                         Cacatua goffini
Major Mitchell's Cockatoo             Cacatua leadbeateri
Lesser Sulphur-crested Cockatoo   Cacatua sulphurea
Long-billed Corella                         Cacatua pastinator
Palm Cockatoo                            Probosciger aterrimus
Red-tailed Cockatoo                     Calyptorhynchus magnificus
Red-vented Cockatoo                    Cacatua haematuropygia
Salmon-crested Cockatoo              Cacatua moluccensis
Slender-billed Corella                     Cacatua tenuirostris
Sulphur-crested Cockatoo              Cacatua galerita
White Cockatoo                            Cacatua alba


                      Conures
Andean Parakeet Bolborhynchus orbygnesius
Austral Conure    Enicognathus ferrugineus 
Blue-throated Conure   Pyrrhura cruentata
Cactus Conure    Aratinga cactorum
Carolina Conure   Conuropsis carolinensis
Crimson-belied Conure        Pyrrhura perlata
Cobalt-winged Parakeet       Brotogeris cyanoptera
Cuban Conure      Aratinga euops
Black-capped Conure   Pyrrhura rupicola
Brown-breasted Conure Pyrrhura calliptera
El Oro Conure      Pyrrhura orcesi
Demerara Conure Pyrrhura egregia
Dusky-headed Conure   Aratinga weddellii
Finsch's Conure   Aratinga finschii
Golden Conure     Aratinga guarouba
Golden-plumed Conure Leptosittaca branickii
Golden-capped Conure Aratinga auricapilla
Golden-winged Parakeet Brotogeris chrysopterus
Green-cheeked Conure                         Pyrrhura molinae
Green Conure                                      Aratinga holochlora
Grey-cheeked Parakeet                        Brotogeris pyrrhopterus
Hispaniolan Conure                              Aratinga chloroptera
Hoffmann's Conure                               Pyrrhura hoffmanni
Jamaican Conure                         Aratinga nana
Jandaya Conure                           Aratinga jandaya
Lineolated Parakeet                              Bolborhynchus lineola
Maroon-bellied Conure                          Pyrrhura frontalis
Maroon-tailed Conure                            Pyrrhura melanura
Mitred Conure                                       Aratinga mitrata
Monk Parakeet                                     Myiopsitta monachus
Mountain Parakeet         Bolborhynchus aurifrons
Nanday Conure       Nandayus nenday
Orange-chinned Parakeet        Brotogeris jugularis
Orange-fronted Conure    Aratinga canicularis
Painted Conure       Pyrrhura picta
Patagonian Conure         Cyanoliseus patagonus
Peach-fronted Conure      Aratinga aurea
Plain Parakeet        Brotogeris tirica
Red-eared Conure           Pyrrhura hoematotis
Red-fronted Conure         Aratinga wagleri
Red-masked Conure       Aratinga erythrogenys
Red-throated Conure      Aratinga rubritorquis
Rose-crowned Conure    Pyrrhura rhodocephala
Rufous-fronted Parakeet Bolborhynchus ferrugineifrons
Santa Marta Conure      Pyrrhura viridicata
Sharp-tailed Conure       Aratinga acuticaudata
Sierra Parakeet      Bolborhynchus aymara
Slender-billed Conure    Enicognathus leptorhynchus
St. Thomas Conure       Aratinga pertinax
Sun Conure          Aratinga solstitialis
Thick-billed Parrot         Rhynchopsitta pachyrhyncha
Tui Parakeet         Brotogeris sanctithomae
White-eyed Conure       Aratinga leucophthalma
White-eared Conure      Pyrrhura leucotis
White-necked Conure    Pyrrhura albipectus
White-winged Parakeet Brotogeris versicolurus
Yellow-eared Conure    Ognorhynchus icterotis