These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Chaotic Neutral: Mahiro is a Type IV to the tee. He's only in on the whole "saving the world" plan because he's getting something out of it. This is best demonstrated when it is revealed that Hakaze is trapped two years in the past, and is dead in the current timeline. Mahiro is prepared, without remorse, to jump ship to either side that will help him find Aika's killer, no matter if it causes the end of the world or not.
God-Mode Sue: Hakaze can be seen as a deconstruction of this. She's ridiculously powerful—able to vaporize an entire mountain and Time Travel, while other mages can't do much besides Flash Step and magic shields—plus, the Tree of Genesis manipulates reality so that she always succeeds. The problems start when she realizes the Tree probably killed Aika to give Mahiro a reason to help her...and to preemptively Murder the Hypotenuse, since she later falls in love with Yoshino. The Tree eventually takes over the world and kills billions of people with the support of Hakaze, who was unwittingly The Dragon. Hakaze accidentally causes Aika's suicide by Stable Time Loop. She then pulls an indirect Hoist by His Own Petard by using her power to train the Mage of Exodus until he's strong enough to destroy the Tree of Genesis, because her own powers are useless against it, for obvious reasons. In the end, like all other mages, she's Brought Down to Normal.
There is also that flashback scene where Aika tells Mahiro that he would be the kind of person suited to date Yoshino. When Mahiro acts disturbed by the idea, she clarifies that she didn't mean it literally. But then adds that he should treat Yoshino well, because no matter what happens, he will remain by Mahiro's side.
Narm: When Hakaze reveals the date, and proves that she's stuck two years in the past, she doesn't specify the date, but does the common "XX AD," thing. Many fans wound up backtracking back through a particularly dramatic and suspenseful sequence.
In the anime, when Samon is thinking to himself, the background becomes a conspicuous purple, cheap "wee-oo, wee-oo" sound effects are played in the background, and Samon himself appears to be floating through space. It's difficult to take seriously. There's also the orgasmic gasping noises he makes when it seems like he's been out played. And his frequent Sword Planting quickly turns into an Overly-Long Gag. Whether all this is supposed to be funny is hard to determine; it's very silly, but everything going on around him is dead serious.