Here are my recs:
Money game: this isn't a love story and any romance there is, it's waaaaaaay back there behind all the talk about finance and economics. But I definitely felt there was something between lee hye joon and Eugene han (who is the antagonist for most of the show). Chae yi hun is the male lead played by go soo and seems to have a bit of a crush on our female lead but I think she fell for Eugene han by the end (as can be seen in their last conversation)
That winter the wind blows: heavy on the melodrama yet still kinda addictive. Male lead is a conman pretending to the female lead's brother. The female lead is blind and an heiress. She is also suicidal and suffering from depression
My heart twinkle twinkle: be warned that the male lead reallllly isn't a good guy. He pretty much forced the female lead into a situation where she had to marry him. He sort of caused her father to die. Was listening in on her conversations. Knew she was looking for her younger sister but didn't tell her when he found her. Goes to jail in the end but it's sort of implied that the female lead might forgive him and they might stay together. You'll have to skip alot though. I know I did. It's not a particularly good drama but it's not terrible either
Flower of evil: haven't seen this one yet but I hear it has an anti hero lead
Better days: this is a Chinese movie. I think you'll like it.
My mister: the anti hero is the female lead
The devil judge: is not really a romance. But if you want to watch an anti hero, yo han is definitely one. For me the selling point of the drama was his dynamic with his niece He lets his niece hate him so that she never find out the truth behind her parents' deaths
Less than evil: to be honest both the male and female leads are kinda anti heroish. This is a korean remake of a BBC show and if you have watched the original you may not like it. I hadn't seen the original so it was fine for me but nothing outstanding.
Voice S2 and S3: The male lead dies at the end of season 3 but I'm still hoping they bring him back in season 5 cuz it's kinda vague and we never see a body or a funeral. This isn't a romantic show. Very dark and disturbing
liar game: he's kind of an anti hero. Like he's not about to risk his neck for others (except the female lead) The makers say there is no love line but I saw definite proof of one. He also indirectly caused the female lead's father to go bankrupt. He didn't know his actions would result in that but yeah he's the reason why her father was on the run and had to leave her alone.