May 31st is World Parrot Day!
The shape and coloring of the first piece most closeresembleles the real-life male Gang-gang Cockatoo (Callocephalon fimbriatum), native to SE Australia:
As for the second piece, while the morphology with its psittaciform shape and prominent crest is certainly also based on real-life Cockatoos (family Cacatuidae), the coloration is just fantasy. Although green is indeed one of the most commonly seen colors in Parrots (order Psittaciformes) in general, none of the 21 extant species of cockatoos wear it! Rather, the cockatoos all have either white, grey, or black bodies, with highlights of pink/red/orange/yellow:
As seen with these other two pairs of majolica cockatoos manufactured by Minton in the early 20th century, it seems like while the base forms were generally naturalistic, it could go either way when it came time to glaze them whether they would be made to look more naturalistic or more fantastical!