Supernatural. Are you meaning superpowers? Or seeing ghosts? Or seeing the future? If so here are a few I've seen.
Flipped: This one they have supernatural powers. The ML is looking for a "healer" I think, (It's been a minute since I've seen this one.) because he needs her to heal his sister who can see to the future. This is a good drama overall, and it has a mix of romance and action, with of course supernatural powers.
The Uncanny Counter: A team who takes on spirits who've escaped from the underworld. They all have powers and they use those powers to fight of the evil spirits. The ML is super powerful, and has to learn to control his power. It's pretty good, this is one of my favs.
Black: The FL can see the shadows, also known as grim reapers, of those who are about to die.
Masters Sun: The FL can see ghosts. (It's been a minute since I've seen this one also) she ends up falling for the CEO...
He is Psychometric: The ML can read a person or objects past through touch. He's still getting the hang of his powers, but he uses it to take down the bad guys
Moorim School: It's basically a school where the students tune their martial arts skills etc.. But the ML discovers that he has psychometric powers. This is a great watch.
The Girl Who Sees Scents: The FL has an ability to see smells. She and the detective try to find a serial killer using her powers.
The Gifted: I have only seen the first couple of episodes, so not a lot to judge on. But if powers are what you're looking for it might be here? It is Thai tho, so if you aren't into that, maybe not this drama.
Kiss Sixth Sense: The FL can see the future if her lips touch a person.
Additional:
There's "Kiss Goblin" and "My roommate is a gumiho," and "vampire detective" If the type of supernatural you are looking for is, a show where the characters are not "human." If this is more of the supernatural element you are looking for, I know plenty of shows where the leads aren't human.
