Some that I have seen and loved are Healer, Strong Woman Do Bong So, Shopping King Louis, Legend of the Blue Sea, Goblin, Moon Lovers: SHR, etc...
All of the dramas I have seen are here:
MyDramaList It's okay if you recommend me dramas that are already on my to-watch list.
Also it's a bonus if the male lead falls in love first, but the main thing I'm looking for is that the male lead is clingy, but not like a super possessive clingy like in Heirs where he treats the female like an object. More like in Healer when he does this kind of stuff:
OMG so cute... I can't