#12 Yona of the Dawn OP 1
Akatsuki no Yona - Ryo Kunihiko
Both visuals and song perfectly set the tone for the show. Overall, this opener is just a montage, though.

#11 Tokyo Ghoul OP
Unravel - TK from Ling Tosite Sigure
I've never seen the show, so I can't say how well this opener represents its material, but it grabs attention, and I like the designs in the wings.

#10 Ghost on the Shell SAC 2nd Gig OP
Rise - ORIGA
I REALLY liked this song, even before I saw the actual opening. And the opening animation is pretty cool.