Bring It On, Ghost has a little bit of that format (but not the same gritty feel - it's mainly a sci-fi / romcom), but from what I've seen most asian dramas aren't designed to fit a "monster of the week" format. The plot lines are usually tighter (for the 16 episode / 1 season type dramas) and still arc-based rather than episode based even for the longer dramas. That's not to say that there's no dragging or filler in a lot of dramas (there definitely is), but the format doesn't seem to suit a "monster of the week" approach. Maybe because most asian dramas air at least two episodes a week?
Edit: maybe also try A Korean Odyssey.