I don't really have a list, but Sarah Ruhl's plays are pretty good. They're kind of minimalistic, have a lot of monologues, & deal mostly with relationships. I wouldn't necessarily describe them as "edgy" but if you look up production photos of her plays, they could provide more inspiration. The 2st Theatre production (earlier this year) was especially fantastic (I saw it this summer & fell in love).
Other than that, I'm rather uninformed. You could always try some of Samuel Beckett's short plays (they're old but still very current & bizarre & edgy). I like "What Where" and "Catastrophe" the best. Good luck!
"The art of Illusion is the art of love; and the art of love is the blood-red heart of the world." - Tony Kushner, "The Illusion"
