http://www.mangago.me/read-manga/kanojo_ni_awaseru_kao_ga_nai/
It's a comedy romance manga about a headless boy and his girlfriend. Really cute.
For Manga read: Otoyomegatari, Pandora Hearts and D Gray Man
For Manhwa: Unlucky Mansion, Save Me
Save me lollipop, The Tyrant Falls in Love (If you're into yaoi that is), The Promised Neverland, Vandred, Aquarion, Black Blood Brothers, The Melancholy of Haruhi Suzumiya, Negima, Kyo Kara Maoh, I'm a Spider Now, So What?, Solo Leveling, When They Cry. I have a bunch more, but I'll just leave it with that, by the way, some of them are anime only (I think) so you may not be able to find it.
There are many Mangas that are very good but they are not well known. Do you know any that you could recommend?