Chinese, Indian, Egyptian, Persian, Polynesian. To name just a few. It depends what you define as "western", since both are located on what is traditionally thought off as the west.
Persians
Chinese
Babylonians
Abyssinian
Mayan
Byzantine
Muslim - It was a collective unified by faith like the Byzantine Empire. Had their Golden Age during the period known as the Dark Ages for Europe.
Indian
Chinese, Indian, Egyptian, Persian, Polynesian. To name just a few. It depends what you define as "western", since both are located on what is traditionally thought off as the west.