You live in the US, right?
Ga-Rei-Zero is an action-packed show about a defence group called the Supernatural Disaster Countermeasures Division. It has a great central relationship between the two leads, with a main character that really grows realistically as an individual. It opens fantastically (you're going to have to trust me on this, because elaborating would spoil it) - the first episode alone should convince you that the show will not depend on clichés to deliver impact. The show deals with duty, sacrifice and friendship, and is suspenseful in the sense that I couldn't always guess what was coming, and even when I could, I wanted to see how it was going to happen. Despite the tragic elements, it's not a show that drowns in melancholy. The series is available on FUNimation's YouTube channel.
Eden of the East is also very good. I can't really describe it better than themightydoof did, so I'll link to his recommendation
here. It's also available on FUNimation's YouTube channel.