I too loved Professional Single! Such a good drama. And the jealousy trope is one of my favs.
Assistant of Superstar- I will never stop recommending this drama. If you're looking for possessive here you go. But it's in a super cute way. When I say possessive for this drama it's not toxic at all. Very much similar to "Professional Single and Moonlight. He's very whipped for the FL.
Moonlight- +1 This drama is basically "Assistant of Superstars" twin. The MLs are exactly alike I tell ya. He is possessive in the fact that he doesn't want her to leave, always trying to get her to come to him. And yes, he's a jealous man. But in a cute way!
Once We Get Married- The leads get into a contract relationship, and pretty soon the ML falls for her. But he's not the only one. He's got a rival. The FLs childhood friend.... Ya, this ones cute. I love how the ML is always trying to prove that he's better. Such a fun watch.
Meteor Garden- Definitely on the more possessive side for sure. The ML is what I would describe a "bully." And he practically falls for her at first sight. Throughout the show he's all about showing how the FL is HIS, and HIS ONLY. There's misunderstandings and breakups, buttttt if you want a jealous and possessive ML, here you go.
My Secret Romance- Lots of jealousy from the ML. He's pretty possessive of her, and tries to get her back.