I can't really add more, but after going through your 'next titles to watch' list, I can strongly, strongly recommend Boss&Me, Prince of Wolf and Because of Meeting You.
If a really possessive ML counts as super clingy, Boss&Me is the one because he's not borderline abusive, unlike in some dramas I've watched. Although you might want to prepare yourself for the naivety of the FL. I got really annoyed when I was watching her, but stayed for the ML and it paid in the end :)
Some tips before you start Prince of Wolf: the drama itself is really cliche and has a lot of old-fashioned tropes, but the male lead is really cute and super clingy. The chemistry between the two leads are okay, but they have excellent kiss scenes.
Because of Meeting You is a really long drama and it's supposed to be since it is a family drama. But if you want to skip the boring bits, start watching at around episode 6 where things start to get exciting. Often times you want to pull your hair out at the villain, but I promise the interactions between the two leads are worth it. You can probably skip most parts with the villain and not miss any major plot points, at least that's what I did. I strongly recommend this drama if you just want to pass time and fill up your fluff level >.<
Also, if you have the patience (which I didn't), you might want to start Revolutionary Romance starring Kang Sora and Choi Siwon. Beware: ML is super-super-super clingy