The relationship between Naruto and Lavi would be quite fun. Lavi is a bit of a joker and Naruto's positive attitude would match well with him. They could team up and get into all sorts of adventures. Hinata might be a bit shy around some of the D Gray - Man characters at first, but she would gradually open up. The relationship between the Akatsuki and the Akuma would be very different. The Akatsuki are more about power and their own goals, while the Akuma are mindless servants of the Millennium Earl. However, some members of the Akatsuki might see the potential in using Akuma for their own ends, which would create a very dangerous situation for both worlds.
The relationships would change drastically. Naruto, known for his positive and friendly nature, would likely try to befriend many Bleach characters. For example, he might form a close bond with Ichigo as they both have a strong sense of justice. However, some characters from Bleach might be initially suspicious of Naruto's strange powers. In the same vein, Bleach characters might introduce Naruto to new concepts like the importance of reiatsu, which could change how he views power. And relationships within each universe might also shift as characters from one series interact with those from the other.
Rin Okumura's blue flames could be used in combination with Allen Walker's anti - Akuma weapon. For example, Rin could use his flames to weaken an Akuma while Allen strikes with his weapon for maximum damage. Shiemi Moriyama's ability to communicate with plants could be useful in a D Gray - Man setting. She could use plants to detect hidden Akuma or create barriers. The exorcists in D Gray - Man could learn from the Blue Exorcist characters about different ways to combat evil spirits.
The Akumas in D Gray - Man are created by the Millennium Earl. If Akumas were to enter the Black Butler world, they would be a major threat. Their ability to transform and their inhuman strength would be a challenge for the Black Butler characters. On the other hand, Sebastian's demonic powers and his ability to make contracts could potentially be used to manipulate or destroy the Akumas. The D Gray - Man exorcists are trained to fight Akumas specifically, so their skills would be very useful in this new setting. But the Black Butler characters' knowledge of the local environment and their own unique skills, like Mey - Rin's sharpshooting and Bardroy's combat experience, could also contribute to the fight against the Akumas in ways the D Gray - Man exorcists might not expect.
Lavi, who was once close to Allen, might be the most conflicted. He wants to believe in his friend but the fact that the Earl was involved in hiding Allen makes him question everything. Their friendship could turn into a very complex and tense relationship with Lavi constantly watching Allen's every move.
If there was a crossover with the Spider - Man universe. Peter Parker would be in awe of Wanda's powers. He would probably try to ask her a million questions. This could make Vision a bit jealous as he sees Peter as a bit of a pest. Meanwhile, Aunt May would probably invite Wanda and Vision over for dinner, and in that domestic setting, we would see a whole new side of their relationships. Wanda might start to see Vision in a more human way as she observes the relationship between Peter and Aunt May.
In a crossover with One Piece, Naruto's muteness would change his relationship with Luffy. Luffy might be initially confused but would quickly adapt and start communicating in his own unique way with Naruto. Their bond would be more about shared adventures and understanding through actions rather than words.
In a crossover, the relationships would be a complex mix. Consider a 'Twilight' werewolf in the 'Heroes' world. They might find kinship with characters who have animal - like powers. But at the same time, their territorial nature could cause conflicts. On the other side, if a 'Heroes' character with healing powers went to the 'Twilight' world, they could potentially change the fate of some characters. This would have a huge impact on the relationships within the 'Twilight' universe, especially for those whose lives are in danger, like some of the human characters in the vampire - werewolf conflict.
For Kakashi, if he were to gain an enhanced Mangekyo Sharingan in this crossover, his relationship with his students would shift. He would be even more of a figure of power and mystery to them. His interactions with Naruto might become more about teaching him how to counter the Sharingan's powers, as Naruto would be facing more powerful Sharingan - users. And his relationship with Sasuke could become more strained, as Sasuke might see Kakashi's new power as something he wants to surpass even more urgently.
If Naruto had both powers, his relationship with Sasuke would be affected. Sasuke might see Naruto as an even greater rival or, on the other hand, might be more willing to work with him. They could train together to better understand and control these new combined powers. Sakura might be in awe of Naruto's new abilities and try to support him in a different way, perhaps by researching more about the Sharingan and Rinnegan to help him. Kakashi, having knowledge of the Sharingan, could mentor Naruto in using it in combination with the Rinnegan.
One possible scenario in this crossover fanfiction could be the characters from D Gray - Man having to adapt to the unique supernatural environment of High School DxD. For example, Allen Walker might find himself in the middle of a battle between devils and angels in the High School DxD world. His Innocence could be perceived in different ways by the various factions there.