Look, I haven't read these comics I'm suggesting you browse/read/buy. But I know some stuff about them. Here's what you want to consider checking out at a shop or downloading to a tablet:
Demon Knights #16 (DC) - Robert Vendetti, the writer behind the well-received revival of X-O Manowar takes over what is more or less DC's medieval version of the Justice League. Immortal savages, demons, swords and sorcery. It's always a good mix. Give the new guy a shot!
Threshold #1 (DC) - If you're like me, you love the writing of Keith Giffen (and don't mind that you're losing your hair). Giffen is one of comic's great writers of sci-fi super-heroes. In this new series, he's telling the story of (official summary...) "Jediah Caul, a disgraced Green Lantern [who is] stripped of his power ring, is hunted for sport on a televised reality show!" Wait. That sounds so generic. But it's Giffen. He of the best-written run of Legion of Super-Heroes ever and many other damn fine, under-appreciated comics (did you know that his Suicide Squad run was actually really good? No John Ostrander run, but still really good. Then again, I also loved his Reign of the Zodiac).
High Ways #1 (IDW) It's a new John Byrne series, written and drawn by the old master of 80s super-hero comics. What's the over/under on a scene of an old man romancing a very young woman? It's a Byrne favorite as he gets older. Creepy! Hopefully not in this series, which is about sci-fi space truckers of sorts. Bring back that Fantastic Four/Superman-era magic, Mr. Byrne! I know you have it in you.
Saga #9 (Image) I shouldn't have to explain this. You should already be reading Saga.
Dardevil #22 (Marvel) See Saga, with the added note/caveat that this guest stars the notorious "Superior Spider-Man,
See the rest of this week's new releases, via Midtown Comics' ever-helpful website.