Ryuk would probably just be amused. He is a Shinigami who has seen a lot in his existence. Fanfiction is just another strange human creation to him. He might chuckle at some of the more outlandish ideas in the fanfictions, like a character having superpowers beyond the Death Note.
Naruto would first be extremely confused by the rules of the Death Note. His understanding of power and its consequences is rooted in his ninja training and his own moral compass. The Death Note's rules, which seem so simple yet so deadly, would be completely foreign to him. He would question why anyone would create such a thing and would be very hesitant to even consider using it, as it goes against everything he stands for in his world of ninjas, friendship, and protecting the innocent.
The shinobi world's reaction would be complex. At first, there would be disbelief. Many would think it's some kind of new genjutsu or a hoax. But once they realize it's real, the more superstitious ninja would see it as a curse from the gods. The Hidden Sand Village might see it as a potential weapon against their enemies, while the Hidden Mist Village might be more cautious due to their history of bloodshed. The shinobi academies would start teaching about the Death Note as a new and dangerous threat. There would also be a black market for Death Note information, with some trying to sell false ways to protect against it.
Harry would likely be very conflicted. He has seen a lot of death and has always fought against dark magic. The Death Note's power to kill just by writing a name is something that goes against his values. He would probably try to keep it away from others and might even consider destroying it.
Characters like Near might analyze the fanfiction. He'd probably look at the logic behind the plotlines in the fan - made stories and compare them to the real events in the Death Note world. If the fanfiction has a really convoluted and illogical plot, he might dismiss it as being not worthy of his attention. But if it has an interesting take on the characters' motives, he might give it more thought.
Batman would find the world of Death Note very disturbing. The concept of the Death Note and the power it holds over life and death is something that goes against his sense of justice. He would be on a mission to stop anyone from misusing it. On the other hand, Light from Death Note might see Batman as a threat to his grand plan. Batman's reputation for thwarting criminals would make Light view him as someone who could expose his secret and put an end to his 'new world' vision.
Misa would likely be excited. She is a big fan of Light and the whole 'Kira' concept. In fanfiction, if there are scenarios where she has more power or a closer relationship with Light, she would be all for it. However, she might also get jealous if there are other female characters getting too close to Light in the fanfictions.
Well, some characters might be amused. For example, Atsushi could be a bit shocked at first, seeing the different interpretations of Dazai in the fanfiction. He might find some of the more out - there scenarios quite strange but also interesting in a way.