The Hunbow is an asymmetric, composite and reflex bow.
The Hungarianbow, an improvement of the Hunbow for archers on foot, is a symmetric, composite and reflex bow.
The Mongol bow is the type most often referred to as the typical Asian recurve bow, made as a composite bow, from ibex (or more traditionally) water buffalo horn, sinew, birk wood and birk bark, and bamboo.