it is actually more common from the European and Middle Eastern context to call the (Turkish and Levantine and Arabian) Middle East "oriental"; in Israel, "oriental food" is hummus and felafel; the Orient Express train went to Istanbul. East Asian is the term for ... east Asians and of course the SE Asians you mentioned, and South Asian is the term for "India+Pakistan+" people. Central Asian is the "the -stans" and Mongolia and parts of Russia.
In the US almost no-one would say "asian" for any country west of Nepal. Sometimes they say "south-asian" for India or the surrounding countries, but even that term is only sometimes extended out to pakistan.
Asking because the term has different meanings in say the UK (asian -> from middle east) vs Australia (asian -> from south east asia).