as for sci-fi Strain is a good mix of action and drama
Monster- A modern day psychological thriller that is intense until the very end.
Higurashi When They Cry- The first season is a mind screw mystery that gives you various clues to try to put the pieces together. The second season is about resolving the mystery so it is less of a mind screw but still good.
Noien is a good psychological thriller but not as freaky. It takes place in the present day and in an alternative future.
noir and madlax- action thrillers with girls mostly being the main characters. serious shows though.
any other anime suggested may be good for watching.
TheCheese33: Is the Bleach anime any good? I remember reading the first volume of the manga a long time ago, because a friend recommended it to me. I never really felt a drive to continue it after that, though.
It's entertaining if you watch it in a succession like 2 episodes a day but keeping up with it can be less satisfying. The series gets confusing so you have to wait until the author makes since of things. The bounto arc is filler so you can skip it if you don't like it. The plot is not affected by it except for three characters introduced who play minor roles. The captain amazagi arc has no bearing on the story and nether does the zanpaktou arc.