In a Naruto - DxD fanfiction where Naruto is arrogant, perhaps he would look down on the Rating Game system in DxD. He'd think his combat experience in the ninja world is far superior. He could try to impose his own rules of combat, which would lead to many conflicts with the DxD characters who are used to their own ways.
An arrogant Naruto would likely have a hard time making friends in the DxD world at first. He would constantly brag about his ninja skills and how he saved his own world. But as the story progresses, he might learn humility through facing stronger opponents or seeing the value in teamwork in DxD, which is different from his solo missions in Naruto's world. For example, he might initially scoff at the idea of a peerage in DxD but later understand its strategic importance.
There probably is. A lot of fanfiction platforms are filled with creative crossovers. Given the popularity of Naruto and High School DxD, some fans might be intrigued by the idea of Naruto being in the Dragon DxD universe. They could explore how Naruto's abilities would interact with the unique magic and supernatural elements in the Dragon DxD world, like how his ninja skills would fare against the devils and angels in that setting.
One idea could be that Naruto is somehow transported to the world of Highschool DxD. He could use his ninja skills and chakra in the new world, maybe even teach some of the characters there a thing or two about combat. For example, he could show Issei how to better control his power using chakra control techniques.
Yes, there might be such fanfictions out there. Fanfiction writers often create crossovers where they put characters from different universes like Naruto and High School DxD together and come up with various scenarios, including ones where Naruto could potentially 'kill' a character from the DxD universe. However, the quality and nature of these fanfictions can vary greatly.
In a Naruto and High School DxD fanfiction, there could be a scenario where the protagonists of both stories meet in a neutral dimension. Issei from High School DxD might be intrigued by Naruto's ninja skills and determination. Naruto, in turn, could be curious about Issei's Sacred Gear. They could start training together, sharing their knowledge and skills, and ultimately have to face a common enemy that threatens both their worlds.
The storylines can be combined by creating a common threat. Suppose an enemy emerges that is interested in both the power of the Bijuu and the power sources in Highschool DxD. This would force the characters from both universes to team up. Also, the cultural differences between the Naruto world and the Highschool DxD world can be explored. Naruto could introduce concepts like ninja clans and shinobi training to the DxD characters, while they could introduce him to the complex social hierarchies and supernatural politics in their world.
In a Sharingan Naruto Highschool DxD fanfiction, the Sharingan could also play a role in terms of illusions. Imagine a scenario where the character uses Sharingan - based illusions to deceive the enemies from both worlds. They could make a Highschool DxD devil believe they are in a completely different environment like a dangerous Naruto - style forest filled with traps. And for Naruto characters, they could be made to see illusions of their worst nightmares or false threats from the Highschool DxD world, which would make for some really intense and engaging storylines.
One possible fanfiction could be about Naruto characters attending the school in High School DxD. For example, Naruto's positive and determined attitude might clash with the more complex social and power dynamics in the DxD world. He could make new friends or even rivals among the devils, angels, and fallen angels.
A fanfiction idea could be that Lucifer from the Highschool DxD universe somehow ends up in the Naruto world. In the Naruto world, he could be seen as a powerful and mysterious figure. He might interact with the ninja clans and shinobi, and his powers could be both feared and respected. He could also have some kind of connection with the tailed beasts or the Sage of Six Paths. The story could revolve around how his presence disrupts or changes the balance of power in the Naruto world.