This list of mythical creatures that begin with this letter and I am constantly gathering information from each continent, and is continually being updated.
Homa (Persian)
The Huma bird is said to never come to rest, living its entire life flying invisibly high above the earth, and never alighting on the ground (in some legends it is said to have no legs).In several variations of the Huma myths, the bird is said to be phoenix-like, consuming itself in fire every few hundred years, only to rise anew from the ashes.
The Huma bird is said to have both the male and female natures in one body (reminiscent of the Chinese Fenghuang), each nature having one wing and one leg. Huma is considered to be compassionate, and a 'bird of fortune' since its shadow (or touch) is said to be auspicious.