Mythology of Asia covers many countries from the Islands of Bali to the Arabian peninsula. Some of the keywords which may be helpful are listed below.
China's Creation and Origin Myths by 
An Illustrated Guide to Korean Mythology by 
A Dictionary of Ancient near Eastern Mythology by 
Jealous Gods and Chosen People by 
The Complete Folktales of A. N. Afanas'ev by Project Gutenberg contains many books on Mythology of Asia and Arab countries which are downloadable in epub or Kindle formats, as well as readable online.
