What are some good dramas that have at least one Korean actor but aren't Korean? 
I've heard of some actors being in sometimes Chinese or Japanese dramas. Any good recommendations? =) Thank you!

Jiu
Sunao ni Narenakute
Boku to Star no 99 Nichi
Skip Beat has two members from Super Junior as two of the male leads

Hayate the Combat Butler the female lead is Korean

Absolute Boyfriend the female lead is Korean

These are all Taiwanese, and I believe they all are dubbed. I've only seen Skip Beat so I can't say if the other two are good, but I really liked Skip Beat.
Park Min Young will be starring in Braveness of the Ming.  But unfortunately, I think her voice is going to be dubbed.  :(
A couple others I know of are Absolute Boyfriend with Gu Hye Seon (Taiwanese) and Diamond Lover with Rain (Chinese), though I haven't seen either as I mostly just watch Korean dramas. There's also the upcoming Chinese Hero Zhao Zi Long with Yoona (Chinese).
Love's Relativity - Park Hae Jin is a Korean actor in this Chinese drama
Good Life ~Arigatou, Papa. Sayonara~ - Jung Woo Sung (ep. 6,7)
- Skip Beat (Taiwanese, Donghae/Siwon from SJ)
- Fondant Garden (Taiwanese, has a member from SS501)
- Fall in love with you again (Chinese, siwon from SJ)
- One and a half Summer (Chinese, Nichkhun from 2PM)

these are the one i know of
Fabulous boys ..not 100% sure this counts though as although he is Korean by birth, he's mostly acts in tdramas
G.I Joe Retaliation - 

ㅋㅋㅋㅋ
Mischievious Princess (and it's spin off) is an ancient Chinese series and stars Jang Nara. It's also a really good drama, very funny and cute as well. 
Prime Minister - Kang Ji Young
Higanbana - Kang Ji Young
Yubikoi~Kimi ni Okuru Message - SeungRi
There's also the Chinese drama Flowers in Fog with Joo Jin Mo