This list of mythical creatures that begin with this letter and I am constantly gathering information from each continent, and is continually being updated.
Shishi (Chinese)
The Shishi is spart dog and part lion with the origins of the shishi character are in China. Shishi dogs are the equivalent of the Chinese foo dogs. Shishi were posted right and left of temple and house entrances as guardians against evil spirits. They can also be found on roofs but were often seen in pairs.
According to the Kyoto National Museum, the open-mouth animal is just a lion. Only the close-mouth animal is a lion-dog. The museum also says that early artwork of the shishi depicted one with a horn on its head, but by the Kamakura Era, the horned beast of earlier times had been replaced by the hornless version.