Weren't Darker than Black and Gantz edgy?
There was that isekai manga that had the MC being trampled on by everyone until he got himself a furry waifu, that was strangely popular with some guys here and I thought it was incredibly edgy (and awful).
I guess Attack on Titan might count as edgy too, which means Tokyo Ghoul, Terra Formars, etc. are also edgy.
....What does edgy mean today
I take it as having violence or sex for the sake of shock value and it doesnt help the story at all