Perhaps those can interest you:
Moon in the Day (2023) [ML is obsessive that it takes him a while to realize it was love all along]
Destined with You (2023) [He falls first. She is attracted but he falls first. And he is a bit obsessive 'cause he literally has to]
A Business Proposal (2022) [Famous drama. He falls first. Also bit obsessive 'cause he could only accept a "yes" from FL, kept trying until then]
Jinxed at First (2022) [ML protects FL a lot. Don't exactly remembers who falls first]
Crazy Love (2022) [A while since I've watched. But ML is kind of a jerk -to everyone-, after realizing his feelings he's more protective]
When the Camellia Blooms (2019) [Bit older, but ML falls HARD and first. Would put him in obsessive 'cause he also NEVER desists. No matter how many times and ways FL rejects him. Very persistent. Protective as well, he's a cop and she needs the protection]
IF you want to try a C-Drama:
Dating in the Kitchen (2020)