It could be really wild. Naruto's energetic and friendly nature would contrast with Sesshomaru's cold and aloof personality. Maybe there would be a story about how Naruto discovers his connection to Sesshomaru and has to navigate the Inuyasha world with his ninja skills.
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.
A fanfiction of this sort would likely start with an explanation of how this strange connection came to be. It could be that some ancient magic or prophecy binds them as brothers. Harry would probably be the more curious and talkative one, while Sesshomaru would be aloof as usual. They would encounter challenges that require both magic and demon strength to overcome. For instance, they might have to battle a powerful dark wizard who has also made a pact with some Japanese demons. The story could also explore how their different moral compasses interact. Harry is guided by his sense of right and wrong from the wizarding world, while Sesshomaru has his own code of honor among demons.
In such a fanfiction, there could be a lot of cultural clashes. Naruto is used to the shinobi way of life, with its clans and ninja villages. Sesshomaru's world in 'Inuyasha' has its own set of rules regarding demons and humans. Naruto might try to bring some of his ninja ethics to this new world. There could also be a plot where Naruto has to prove himself to Sesshomaru's followers or enemies. His Naruto - style combat techniques would be a novelty in this world, and he could use them to his advantage while also learning new skills from his father and the other characters in the 'Inuyasha' world.
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.
The character development would be quite drastic. Naruto would start to lose his naivete and become more world - weary. He would stop believing in the good of everyone so easily as he used to. His interactions with his enemies would change from trying to understand them to simply seeing them as obstacles to be removed. This is a big shift from his normal character who always tries to find a way to redeem his foes.
In a fanfiction where Naruto acts like Sesshomaru, the dynamic in the Naruto universe would be completely shaken up. Naruto's relationships would be the most affected. His friends like Sakura and Kakashi would be at a loss as to how to deal with this new Naruto. He would no longer be the one to quickly jump into a fight without thinking. Instead, he would assess the situation more carefully, like Sesshomaru. His appearance might not change much, but his aura would be completely different. He would carry himself with an air of superiority and detachment, which would be a huge contrast to his normal self.
Well, in such a fanfiction, the writer would first have to find a way to bring Harry and Sesshomaru together. Maybe a magical portal or some sort of time - traveling mishap. Once they meet, the kiss could be a sign of a new understanding between them. Harry might be curious about Sesshomaru's powers and appearance, and Sesshomaru could be intrigued by Harry's magic. The story could explore how two very different characters interact on an emotional and physical level.
In a 'Harry Potter is Sesshomaru fanfiction', we might see a fusion of the two characters' traits. Harry could inherit Sesshomaru's pride and cold - bloodedness to some extent. The plot could involve Harry using Sesshomaru - like powers to fight the Dark Lord. For example, he could use a magically enhanced sword like Tenseiga. And there would be a mix of the Japanese yokai and the magical creatures from the Harry Potter world. It would be a unique blend of two very different mythologies and magic systems.
In a 'naruto adopted by sesshomaru fanfiction', the plot could start with Naruto being exiled from Konoha for some false accusations. He then stumbles into Sesshomaru's territory. Sesshomaru, initially indifferent, realizes Naruto's strong will which reminds him of his own. So he adopts Naruto. Naruto then has to adapt to the new world of demons and yokai, while also trying to find a way to clear his name back in his own world.
In fanfiction, the baby could inherit Sesshomaru's grace and strength. It could have a lithe body like him. However, it would also have Kagome's human charm. Its eyes could be a mixture of Sesshomaru's intense gold and Kagome's brown, creating a really unique and alluring look. And perhaps it would have some sort of special power that combines Sesshomaru's demon abilities, such as his speed and regeneration, with Kagome's spiritual powers.