Love Game in Eastern Fantasy (Morally gray, I'd say he falls first, enemies to lovers vibe, cocky but hides deep insecurities)
Mr Bad (Litteral Bad guy, very cocky, a bit flirtatious)
Tale of the Nine-Tailed (Flirtatious, cocky, morally gray, bad boy vibe)
Doom at your service (Morally gray, cocky)
Bulgasal (Enemies to Lovers)
Moon Lovers (Morally gray, flirtatious, enemies to lovers, He falls first)
Hope this helps! :)