Netflix has some of them and Hulu picks up most of Drama Fever’s shows(not Running Man, though).
My favorite is “A Gentleman’s Dignity” and I just finished “Flower Boy Next Door” (also stars Park Shin Hye) and thought it was great. Heartstrings is another musical one, set in college (more Park Shin Hye). The lead guy and the drummer are in a band together in real life and they aren’t too bad. I would love to see them live.
I also loved “My Husband Got a Family” which isn’t available in the US.
There is a lot of subbed Running Man episodes (between episodes 89 and 150) on Youtube.
I also like Moon Geun-young in addition to Park Shin-hye, Yoon Eun-ye, Oh Yi-na, Han Ye-seul, Jung Yu-mi and Park So-hyun (who is more my age)