I've started with Japanese dramas. Although I watch less of them lately, partly because of accessibility and partly because I really enjoy Korean dramas, I often feel like I am left with a warm feeling and/or lingering thoughts on the meaning of life and humanity at the end of a Japanese drama. I love that.
For Korean dramas, it's often the historical dramas that leave me most satisfied. But yeah, I just love a good story with a moral and a good ending, wrapped up well, open-ended or not.