I’ve seen “The Great Doctor”, “The Secret Garden and “City Hunter” - outstanding Korean TV shows.
The model is different - usually one season of 20-24 episodes. Once you start watching you’re hooked. Probably Korea’s best foreign export next to their cars.
Many of them are 16 episodes too.
“49 Days” was really good, like the ones you listed, but it is a tear-jerker.
“You Are All Surrounded” is pretty good too. I would definitely recommend “Gu Family Book” although it takes a couple episodes before they actually get done with the back-story. Also “My Girlfriend is a Nine-tailed Fox” was pretty good too, sometimes called “My Girlfriend is a Gumiho”. I put all these together because they all have the same male lead in Lee Seung-gi
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Not too long ago the translations online of Korean programs would make Babblefish gag. I am very happy they have improved them to the point where they make sense.