This list of mythical creatures that begin with this letter and I am constantly gathering information from each continent, and is continually being updated.
Hieracosphinx (Ancient Egypt)
The Hieracosphinx has the head of a hawk and the body of a lion. The name was coined by Herodotus to the hawk-headed sphinxes that he saw in Egypt; the other being the ram-headed sphinx which Herodotus called Criosphinx. Also called the Egyptian Wingless Griffin, the Hieracosphinx is cousin to both Griffins, and to the Androsphinx and Criosphinx, showing the way by which both Sphinxes and Griffins evolved, through a single shared ancestor.
Hieracosphinxes are most simply described as a lion’s body with a hawk or falcons head, possessing of no wings. In such a manner they are often considered to be wingless Opinici, rather than Sphinxes, though they certainly have some of the intelligence found in Sphinxes which is not found in Griffins. Hieracosphinxes were once fairly common, especially in Egypt where they would be found around temples, though now they are rather more rare.