NonBinary Review produces lovely work for a relatively new market. They specialize in literary speculative fiction, so extreme gore pieces are not going to be their thing.
From their Submissions page:
NonBinary Review wants art and literature that tiptoes the tightrope between now and then. Art that makes us see our literary offerings in new ways. We want language that makes us reach for a dictionary, a tissue, or both. Words in combinations and patterns that leave the faint of heart a little dizzy. We want insight, deep diving, broad connections, literary conspiracies, personal revelations, or anything you want to tell us about the themes we’ve chosen.
Literary forms are changing as we use technology and typography to find new ways to tell stories—for work that doesn’t fit neatly into any one genre, we’ve created a separate category to properly evaluate submissions of a hybrid or experimental nature.
Payment: Semipro – $0.01/word
Length: Up to 5k words
Current Theme/Reading Period: Mary Shelley’s Frankenstein / Reading period ends 7/31/14.
They have reading periods throughout the year; check out their Submissions page for more information on dates and upcoming themes.