Evil/Bad Guy/Villain Falls In love female lead?

 I highly recommend The Phantom of The Opera the Musical 2011 

Love in Sadness seems to fit the description, except it may seem the female is submissive but it's just that her circumstances don't allow her to do what she wants with her freedom

Goodbye My Princess  would fit the description, the ML does some really messed of stuff to the FL but regardless he loves her. Its up to the viewer to decide whether hes an actual "bad guy." 

The Smile Has Left Your Eyes- ML is a bad guy and murder suspect who falls for kindhearted FL

Scholar Who Walks the Night- Gwi- evil vampire is obsessed with SFL 

The Great Seducer- bad boy falls for the girl he planned to seduce and then dump  

Siyah Beyaz Ask (Black and White Love) -  This is a Turkish drama and it has one of the best romances  I have ever seen! Highly recommended. The male lead is a sort of hitman who works for his uncle. He captures a doctor (female lead) and forces her to operate on someone. She overhears something she shouldn't have so the uncle orders the male lead to kill the doctor. He refuses to do so and marries her instead to protect her and to use her to protect his family from her brother who is a policeman. 

Asian:

• Doctor Prisoner | Not a central part of the story, but the antagonist is a bit obsessed with the FL. Though mostly because he's trying to use her for an ulterior motive. Antagonist 9/10 | FL 8/10 (she's not very central to the story, unfortunately, but she's strong nonetheless).
• Possessed | evil guy doesn't love the FL, but he fears her. Therefore he becomes obsessed with destroying her. Full disclosure: this one goes really dark towards the second half of the show. The antagonist is a 10/10 in the scale of evil. Both leads die at the end getting rid of the antagonist. So a good, but bitter ending for sure.
• Big Issue | The antagonist isn't in love with the FL, but he needs her and is obsessed with keeping her with him. FL is a badass 10/10, Antagonist 7/10 (since he's a white-collar antagonist).
• Love in Sadness | The antagonist is OBSESSED with the FL and truly believes he loves her and cannot live without her. He's an abusive husband, though, who believes love is about control. FL has PTSD so that means she's sometimes paralyzed by fear (which though it's realistic, can get frustrating for some). FL 6/10 | Antagonist 10/10 (he steals the show, tbh).
• Come and Hug Me | Antagonist doesn't love the FL, but he's obsessed with getting rid of her in order to "make his son strong". The son, of course, is the ML. FL 8/10, Antagonist 10/10.
• Children of Nobody | The antagonist is interested in the FL (no love, though) because he believes she would understand him best. FL 8/10, Antagonist 10/10.
• The Last Empress | Antagonist falls in love and becomes obsessed with the FL. The antagonist so happens to be the 2ML (or even ML, depending on how you look at it). FL starts weak but grows into her power and becomes a badass. FL 10/10, Antagonist 8/10. Both the ML and 2ML die at the end.
• Let Me Introduce Her | The antagonist (FL's husband) is obsessed with her but abusive. FL 9/10, Antagonist 8/10.

Non-Asian:

• +1 to Jessica Jones season 1
• You | You can find it on Netflix and it's really, really good. The premise: The first season follows the story of Joe Goldberg, a bookstore manager in New York, who upon meeting Guinevere Beck, an aspiring writer, becomes immediately infatuated with her. To feed his toxic obsession, he uses social media and other technology to track her presence and remove obstacles to their romance.

A recent rec that fits this thread to the T is a Pakistani drama on Netflix called Khaani:

Only the villain is actually the male lead, so he's the hero as well. But I saw him as the villain because he's pretty much the main antagonist of the series and never gets the h's love.

Basically, the premise is the h's twin brother gets into a altercation with the villain (rich spoiled son of a politician) and ends up dead. It's disturbing how the villain feels no remorse after killing a person over a petty argument. This is because he grew up in a family that never taught him right from wrong and gave him whatever his heart desired. Anyways, the h's family is devastated and initially pressed charges, resulting in the villain's arrest. But his family is powerful and they, alongside the villain, managed to coerce the h's family into signing "apology papers," indicating that they had forgiven the villain's deeds, thus dropping all charges.

Only during this whole process, the h was the only one with a backbone and refused to cower before the villain/his family's power. Initially sticking to her guns and refusing to sign the apology papers, she stood up to the villain a few times before he went over to their house to force them into signing. Their unpleasant encounters (the villain at one point even held a gun up to her forehead and she still wouldn't relent) eventually caused the villain to become curious/intrigued with the h, esp. after she told him that he may be free from the charges, but will be forever cursed by her, sister of the person he murdered. Her words really rang true as she herself became both the source of the villain's torment as well as his salvation.

I was only interested in the first 21 episodes (31 in total) as that was all about how he came to be obsessed (wasn't right away and it was awesome watching the "falling" process) and stalked/chased after the h like an unyielding, bulldozing tank. Seriously, once the villain realizes his feelings, he's batsh*t crazy obsessed and nothing can deter him from trying to make the h his. He does many crazy things: Stalks her everyday, whacking himself with a glass bottle so he'd have a legit reason to be near her at the hospital where she works, threatened to kill himself when he found out his disapproving parents tried to kill the h (would have gone through with it if the h died for real), and forcing her to get engaged with him.

Seriously, the villain's one of the most obsessed I've ever seen and it doesn't hurt that he's absolutely gorgeous and shares explosive chemistry with the h. All their scenes together are gold and I just couldn't get enough of the way he looks at her like he wants to devour her. The villain's actor is very skilled and I loved all of his facial expressions (his eyes really exude emotion), esp. when he's around the h. He seriously can't bear to be away from the h once he falls for her. It's been a long time since I've felt this way about a pairing.

Sadly, this drama is a tragedy and the villain ends up serving a life sentence due to him murdering the h's brother. The h also married someone else (didn't bother me because she never loved the villain and it'll be impossible for her to be with her brother's killer). I also didn't watch the last 10 episodes or so, because they strayed away from the romance and focused on the villain's redemption/seeking forgiveness for his past indiscretions. But the first 21 episodes is a must watch for anyone in the mood for a highly compelling "villain obsessively in love" storyline with hot hot chemistry btw the leads.
The drama's also got an amazing soundtrack.

Here are two mvs: One featuring the twisted romance and the other is the official ost mv:

https://www.youtube.com/watch?v=7kk2xXIJvlQ

https://www.youtube.com/watch?v=N1Erx5Vbh5U

Now I want something else similar to the plot in the first 21 episodes as I'm suffering from withdrawal symptoms...