- Gurren Lagann (Favorite anime of all time. Not really similar to what you've listed but it is an action series and it's VERY exciting. It's a really hot-blooded series and it's always inspiring. It's a mecha but it's not a typical mecha by any means.)
- Code Geass (Amazing and truly worth the hype. In my personal opinion it's even better than Death Note, but I'm gonna make it clear that Death Note and Geass really aren't THAT similar. The psychological battles are very different. Death Note is more about the wit battle solving the mystery before your opponent deal, but Geass is all about the strategic warfare and manipulating your troops to accomplish your goals.)
- Steins;Gate (Fantastic story. Starts off a bit slow but the second half begins a mysterious, complex plot and everything that happens is very compelling. The characters are used very well and the story is amazing to watch. The whole mystery thriller thing is very big in Steins, though there is little psychological warfare like in Death Note)
- Higurashi no Naku Koro ni (Amazing mystery. First season has a powerful horror vibe while second season is more about the mystery than anything else. A very haunting story that will keep you guessing and can disturb you at times, particularly in season one. In spite of how brutal and gruesome the series is, the characters are very lovable and you wouldn't believe it seeing some of the horrible things they do but the characters are very developed by the end.)
- Durarara!! (Mystery-ish sort of show but it's hard to say what genre it is. You've got a huge cast and the anime explores just about all of their stories, it's interesting to see how they connect and learning the character's pasts as you continue on through the rest of the plot is really captivating.)
- Accel World (Comparable to Sword Art, but in my opinion it is a significant deal better. Revolves around a virtual online fighting game, so obviously it's gonna have stunning action like SAO. Character development is vastly superior to Sword Art's and the fact that it doesn't jump games in the middle means it has more time to focus on developing the mechanics of the game it's confined to so it does a much better job of explaining with that.)
- Fate series (Action-packed, dark story with a fantastic plot. I'd recommend watching in this order: Fate/stay night -> Fate/stay night: Unlimited Blade Works -> Fate/Zero. Fate/Zero is definitely the part of Fate that makes it all worth watching but I think that watching Stay Night first establishes the setting better and Blade Works is just an awesome movie so why not)
