A Harpy or Siren depending on what you mean. Harpies don't have beautiful singing voices, but Sirens do.
Head of a woman and body of a bird? I believe you happen to mean a hagraven or a harpy.
The Greek monster that has a body of a bird and a head of a woman is called a Harpy. Harpies are often depicted as winged spirits known for stealing food from their victims and tormenting them.
a harpy
Siren
The Sphinx
Lamia...body of a serpent...breasts and head of a woman
Possibly the Egyptian Hawk-God Horus, identified with Time.
A mallard is a bird that has an iridescent green head and brown on the body. The ring necked pheasant is another bird with a brown body, and an iridescent green head.
Sirens are often depicted as half-bird, half-woman creatures in Greek mythology. They have the head and upper body of a beautiful woman and the lower body of a bird, typically a swan or a bird of prey. They are known for their enchanting voices and singing that lures sailors to their doom.
THE SPHINX (or Phix) was a female monster with the body of a lion, the breast and head of a woman, eagle's wings and, according to some, a serpent-headed tail
The small bird with a black head and white body is called a pied wagtail.
love bird