How do I get into contemporary East-Asian cinema?
I just watched The Mission (1999) and really liked it, but then I watched a couple of the related movies on imdb like Sparrow (2008) and I really didn't like them all that much.
Start with the beginning and work your way towards modern. Look at who the big important names are and then find out who they influenced down the line. That's your way into contemporary cinema from anywhere.