I feel obliged to emphasise Talentless Nana in particular because it is a direct spiritual inversion of Death Note. Marketing and the first episode disguise it as something else and the series' true premise is revealed as a twist at episode one's (or chapter one's, for the manga) end, but the story is far more interesting (and original) than the marketing's disguise. In a world where people with supernatural abilities have been declared dangerous, the government sends them to isolated islands disguised as what are essentially superhero schools (they made up an enemy which they call 'enemies of humanity' to justify these schools and sending them off) so they can send assassins to kill them. The show follows Nana, one of these assassins, as she tries to complete her mission. The inversion is that while Death Note follows a man who has a single supernatural power and he uses that single power, exclusive to him and a few others, to fight against the government with vastly more powerful realistic resources (Light only had a few underlings, L had the entire police force, L had the power to make a T.V. broadcast whereas Light didn't (until he used his supernatural power to make T.V. stations air his message, with the police's approval)), Talentless Nana follows a woman who has the government on her side and has the realistic resources on her side (she is a trained assassin, has poisoned needles given to her and can psychologically profile and observe people) which she uses in order to deduce her targets' supernatural powers, their weaknesses and then cleverly figures out how to kill them.

With regards to my point about the cat and mouse game; like Death Note's early episodes, the cat and mouse game between Nana and Kyoya (an intelligent student attending the fake superhero school) isn't very good. There is one epic confrontation between Nana and Kyoya, like there is between Light and L in episode two, but then the cat and mouse game declines in quality. Like Death Note, the cat and mouse game is at its best after Light kills the F.B.I. agents; before that the main entertainment comes from Light using his Death Note to try and figure out how to deal with the F.B.I. agents. While L made some cool deductions in the early stages, they were too few and far between, and only in reaction to Light's actions, if I recall correctly. This is much like the cat and mouse game between Nana and Kyoya, while Kyoya does make some smart deductions, they are few and far between and only after Nana has done something. The show's main entertainment, as I mentioned above, comes from Nana puzzling through her targets' supernatural abilities and weaknesses.

I must also emphasise that the finale, as in the final few episodes, are utter garbage.