NBC Universal released the above teaser trailer, the first since the small glimpse shown at Winter Comiket 2015. The above video shows off not just the animation, but the soundtrack as well. With an interesting styilized mix of 2D and and CGI visuals, so there's hope that the anime will feature less awkward CGI than the previous movies.
For those wondering about the Nietzsche quote, it translates to: ''He who fights with monsters should look to it that he himself does not become a monster. And if you gaze long into an abyss, the abyss also gazes into you''
As for a translation of the trailer, it begins with someone, likely Slan, saying: 'It's useless. You can't run away. You are ours.'?
Then the Nietzsche quote is repeated in Japanese.
EDIT: Since this posting, someone has posted up the trailer with English subtitle. You can watch it here.