Haeju,
I haven't seen a lot of the ones in your PTWL. From those I've watched I don't recommend:
Missing You | The first half (childhood story portion) is amazing, however, the second half is painful to watch. To the extent that I felt like dropping it. It really feels like two separate dramas and just for that reason, I wouldn't recommend it (no matter how strong it started).
City Hunter | I think this is an overrated drama. It started out somewhat good but the forced romance ended up bogging it down and became frustrating. Additionally, there were too many easy solutions to the problems the ML was presented with. It came across as lazy writing. The story should've been fewer episodes as well because it dragged. By the end, I had lost all interest and forced myself to finish it.