It's very hard to recall since I'm asian. So technically all things aired on TV (local productions) are asian too. Haha!
But if you mean East Asian such as HK, C, T, J and K, I think the earliest (when I was a kid) would probably be; Oshin, Chiaki, Moero Attack, Kamen Rider Black and tons of TVB HK drama.
Older generations like me may have watched many HK dramas and movies even before late 90's Jdrama wave and early 2000's K drama wave became popular. It's just that it is so difficult to recall all the titles because of the aging... ;P