Okay, I'm pretty much just thinking out loud here, so please bear with me, or just ignore me altogether if you feel like it.
I think what we need to consider before deciding which country to add is: 1) that particular country's output and 2) their drama/movie accessibility to international fans. With that in mind, let's look at the countries that have been proposed:
1) India: I know nothing about their dramas, but Indian movies are easily available for international fans. The problem is, their movie industries are so huge. Obviously Hindi movies from Bollywood are the most popular, but they have movies in other languages as well, which are just as productive. TL;DR
Good choice, but maybe not practical given the sheer number of its output.
2) Turkey: Easily available shows (and movies) via Netflix and other streaming sites. Good choice but technically not an Asian country, so idk
3) Phillipines: Might be the most feasible, not to mention that their dramas are recently becoming more popular and are available on various streaming sites.
4) Singapore: They have quite a lot of good shows, as far as I know, but I don't know about their availability for international fans.
5) Vietnam: I don't know much about their dramas or movies to comment about it.
6) Indonesia: Er, I'd rather not. We have some good movies, but you can just use IMDB/Letterbox/the like for cataloguing. The less said about our TV series, the better.
Did I miss anything?