Origin of Asian
However, Oriental is a neutral, inoffensive term when used as an adjective describing Asian culture or things from Asia. Similarly, the term Asiatic is usually offensive when referring to people, but neutral when referring to Asian culture, animals, etc. Though Asian is an acceptable ethnic designation in most contexts, it is best to be as specific as possible, rather than to group all Asians into a single cultural identity. In general, people of South, Southeast, and East Asian origin prefer to be identified by their country of origin: for example, Indian, Pakistani, Indonesian, Korean, Japanese, or Chinese. The people of the Middle or Near East and Polynesia are not referred to as Asian.
Examples from the Web for non-asian
Contemporary Examples of non-asian
There are [non-Asian] politicians who are very good to Asian-Americans, particularly those who have lived in Asia.There Are No Asian-Americans In The Cabinet For The First Time Since 2000
June 1, 2014
late 14c., "inhabitant of Asia (Minor)," from Latin Asianus (adjective and noun, "belonging to the province of Asia;" "an inhabitant of Asia"), from Greek Asianos, from Asia (see Asia). Ousted Asiatic as the preferred term in Britain c.1950.
The term "Asiatic" has come to be regarded with disfavour by those to whom it is applied, and they feel entitled to be brought into line with usage in regard to Europeans, Americans and Australians. ["Times Literary Supplement," Feb. 6, 1953]
As an adjective in English, by 1690s.