I don't recommend Death Note. I read part of the manga and saw part of the anime. At first it was good, but then it started to drag on and become really boring. I didn't really like any of the characters either. This is only my opinion though.
I know of a Ichi The Killer OVA, but I haven't seen it yet. I also hear that Berserk is a good one.
My all time favorite though is Monster by Naoki Urasawa. I defintely recommend it. It's a pretty good psychological thriller and suspense anime.
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