Incidentally to further refine the broad definition that is "Asian", there is:
Western Asia, which is the Arabian peninsula and Persia
Central Asia, which are the "-stans" minus Afghanistan and Pakistan (basically the former soviet states)
North Asia, which is basically the Russian portion
South Asia, which is Afghanistan, Pakistan, India, Nepal, Bangladesh and a handful of others
East Asia, which is China, Mongolia, Japan and the Koreas
Southeast Asia, which is the Indochina peninsula, Indonesia and the Philippines
So if Asian is not precise enough, but the country is too specific..., just don't say Oriental, it really is outdated and generally considered offensive.
Just like GM's are being replaced by computers