Well, it could be a really wild plot. Maybe Naruto has Sesshomaru's memories or powers. He might have Sesshomaru's sword skills and use them in the ninja world. For example, he could use Tessaiga - like attacks against his enemies in a new and unexpected way. It would be a cool mash - up of the Naruto and Inuyasha universes.
His personality might become more aloof. Sesshomaru is known for being cold and distant, so Naruto could take on some of those traits. He might be less likely to trust others immediately.
Sesshomaru would likely be aloof and haughty at first. He might look down on Naruto as a mere human. Naruto, being his friendly self, would probably be curious about Sesshomaru and try to start a conversation. Sesshomaru might respond with cold remarks, but Naruto's persistence could gradually break through his icy exterior.
There are definitely some out there. I've seen ones where Naruto is put in a situation similar to Sesshomaru's, like having to deal with a powerful enemy or a complex moral dilemma in a way that Sesshomaru might. It's really interesting to see how authors blend the two very different universes of Naruto and Inuyasha (where Sesshomaru is from).
There probably is. Fanfiction writers often come up with very creative and unexpected crossovers. However, the quality can vary greatly. Some might be really well - written with interesting plotlines that blend the Naruto and Inuyasha universes in a unique way considering the relationship you mentioned, while others might not be as good.
One possibility could be that in this fanfiction, female Sesshomaru uses her demon powers to protect Naruto. Maybe she has her own motives, like she sees a kind of potential in Naruto similar to what she once saw in someone else. She could be a very strict but effective guardian, teaching Naruto new combat techniques from her own demon - related knowledge.
In fanfiction, anything is possible. So, Naruto could be Tobirama's reincarnation. Some fanfic authors like to play with the idea of reincarnation to bring new elements to the story. They might make Naruto inherit some of Tobirama's chakra nature or jutsu. This can create unique scenarios where Naruto has to deal with the memories or expectations that come with being Tobirama's reincarnation. It can also change the dynamics between Naruto and other characters, like Sasuke, as they might view Naruto differently if he has such a connection to an important figure from the past.
One common theme is power. Since both Naruto and Sesshomaru are powerful in their own ways, fanfictions often explore how Naruto would handle Sesshomaru - like powers or how he would adapt to new abilities. Another theme is identity. Naruto has his own strong identity as a ninja, and when combined with Sesshomaru - like traits, it creates an interesting exploration of who he becomes.
One idea could be a crossover where Naruto, Sesshomaru, and a member of the Inuzuka clan are brought together by a powerful magic. They have to work together to defeat a common enemy that threatens all of their worlds. Naruto could use his Rasengan, Sesshomaru his Tenseiga, and the Inuzuka with their unique ninja dog techniques.