Denshi Jisho — Online Japanese dictionary

鸚哥 いんこ true parrot (esp. small parrots such as the parakeet, lory and conure)
Noun, Usually written using kana alone 
鸚鵡 おうむ (large) parrot (inc. the cockatoo)
Noun, Usually written using kana alone 
鸚鵡貝 おうむがい chambered nautilus (esp. species Nautilus pompilius)
Noun, Usually written using kana alone 
鸚鵡病 おうむびょう psittacosis; parrot fever
Noun 
鸚鵡返し おうむがえし parroting another's words
Noun 
阿亀鸚哥 おかめいんこ cockatiel (Nymphicus hollandicus)
Noun, Usually written using kana alone 
牡丹鸚哥 ぼたんいんこ lovebird (esp. Lilian's lovebird, Agapornis lilianae)
Noun, Usually written using kana alone 
梟鸚鵡 ふくろうおうむ kakapo (Strigops habroptila); owl parrot
Noun, Usually written using kana alone 
金剛鸚哥 こんごういんこ macaw
Noun, Usually written using kana alone 
桃色鸚哥 ももいろいんこ galah (Eolophus roseicapillus); rose-breasted cockatoo
Noun 
脊黄青鸚哥 せきせいいんこ budgerigar (Melopsittacus undulatus)
Noun, Usually written using kana alone 
車冠鸚鵡 くるまさかおうむ Major Mitchell's cockatoo (Cacatua leadbeateri); Leadbeater's cockatoo
Noun, Usually written using kana alone 
五色青海鸚哥 ごしきせいがいいんこ rainbow lory; rainbow lorikeet (Trichoglossus haematodus)
Noun, Usually written using kana alone 
五色青海鸚哥 ごしきぜいがいいんこ rainbow lory; rainbow lorikeet (Trichoglossus haematodus)
Noun, Usually written using kana alone 

You can also

Look up kanji details for *鸚*.

Try a Yahoo Jisho search for *鸚* .
Try a Goo Jisho search for *鸚* .
Try a Google search for *鸚* .