Jealous or Possessive (Obsessive) Male Lead

• Love Between Fairy and Devil (lots of jealousy)
• Story of Kunning Palace (some jealousy, definitely possessive, borderline toxic. There's no cheating once they get together, but FL was married and in love with someone else in the past life before the do-over)
• Derailment (very possessive ML)

Love in a Loop (2022) 

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.

I love this... Following for more recs

[Edit to add - sorry, I missed that you are asking specifically for cdramas. I will move the kdramas to the end of the response. My bad.] 

Not my specialty, as I most frequently go for softer dramas. When I page through MDL lists of your interests, I mostly haven't seen the more intense examples of jealous/possessive MLs. But maybe you'll find something here:

CDRAMAS

Possessive and Whipped:

Amidst a Snowstorm of Love - ML Lin Yiyang falls hard at first sight and spends the whole drama hyperfocused on her. He's constantly trying to figure out her wants or needs and pivoting to fulfill them. He's pretty awkward, too, so sometimes he guesses wrong, but he doesn't dwell on his mistakes - just absorbs the new information and acts on it. It's fun to watch this drama conscious of the fact that no matter what she asks him to do, he does it. She doesn't realize it, and it's not about her taking advantage of him in any way. It's about him dedicating all his intention to her - except for when he's playing billiards, his lifelong hyperfocus. And there are  rivals for the FL, and Lin Yiyang's reactions are way possessive. This drama enhances the romance all the way up to 11.

Possessive and Controlling and Toxic:

My Lethal Man - He's a fine example of a toxic ML. For example, there's some throat grabbing. This isn't a high budget drama, but it's intense and true to itself. 

Possessive and Controlling:

Mysterious Love - Another lower budget drama that has a lot of integrity and does what it sets out to do. The ML isn't as toxic as the ML of My Lethal Man, but he's plenty dictatorial.

KDRAMAS

By Turns Toxic, Possessive and Whipped:

Don't Dare to Dream - The ML is a hyper-competitive, tortured guy who hates himself too much to be open to the FL's three-year one-sided crush. The way he initially treats her is Certified Toxic. But when he falls, he is oh so whipped. And she's started dating his best friend by that point, so this drama is basically a wealth of riches for you! It's alternate title is Jealousy Incarnate. This is a very funny, very biting comedy, with some extra hot kissing. What's truly wonderful about his character for you is that he doesn't become a wonderful green flag sweetie pie. Rather, he remains pretty darn egotistical and jealous. It's simply awesome to behold. Can't recommend highly enough if you like gnarly MLs, and you're okay with them residing in a romcom universe.

Possessive and Whipped:

Something About 1 Percent - CEO with a serious attitude. He's abrasive and a take charge guy in every way, except when he's being adorably whipped. This is a great, classic romcom. Contract relationship.