His relationship with Sasuke would be greatly affected. Sasuke might see Naruto as a completely different person now that he has become the Nine - Tails. There could be a sense of fear or at least a new level of caution from Sasuke. They might have to re - establish their bond, as Naruto's new form could be a threat in Sasuke's eyes.
His relationship with the older generation like Kakashi would also change. Kakashi would need to guide Naruto in this new state, making sure he doesn't lose himself in the power of the Nine - Tails. There could be a lot of mentoring and tough conversations as Kakashi tries to help Naruto understand what it means to be in this new form and how to use it for good, while also maintaining his humanity.
His relationship with Sakura would change a lot. Sakura might be more protective of Naruto as a cat, seeing him as a cute and vulnerable creature. She might take on a more motherly role towards him. With Kakashi, Kakashi would probably be amused by Naruto's cat form at first, but then he'd start to worry about how to turn him back. And as for his friends in general, they'd have to communicate with him in different ways, like through body language and meows.
Naruto's relationship with the younger generation would be very different. As a Jounin, he would be a role model. The kids in the village would look up to him even more. He could inspire them to work hard. His relationship with Hinata might also evolve. Maybe he would finally have more time to focus on their relationship now that he has achieved a higher rank and more stability in his ninja career.
His relationship with Sakura would change. Sakura might be more in awe of him, but also worried about his new power. She would try to be there for him as a medic - ninja, ready to heal him if the power gets out of control.
His relationship with Sakura would be very different. Instead of the old friendship/romantic tension, Sakura might be initially afraid of him as a vampire. She would have to overcome her fear and see that Naruto is still the same person inside. His relationship with Sasuke could also be strained. Sasuke might see Naruto's transformation as a sign of weakness or a new threat.
His relationship with Sasuke would be really interesting. Since Sasuke has his own complex connection to the Uchiha clan and Madara, Naruto becoming a Madara fan could either bring them closer together in understanding the Uchiha's past or drive them further apart if Sasuke doesn't agree with Naruto's new - found admiration. Maybe Naruto would start to push Sasuke towards a more 'Madara - like' view of power and revenge.
His relationship with Sakura would change a lot. Sakura might be initially scared of Naruto's fox form, but as she realizes it's still him inside, she would start to see him in a new light. She could become more protective of him. With Kakashi, Kakashi would be more cautious and observant, trying to figure out how to help Naruto control his new form. And with his rivals, they might either be more envious or more afraid of him now that he has this unique transformation.
His relationship with Sasuke would be very different. Sasuke might see Naruto as even more of an enigma. He could be both jealous of Naruto's new power and also concerned about what Naruto has become. Naruto, on the other hand, would try to show Sasuke that he's still the same person deep down.
Naruto's relationship with the villagers could be affected. As he becomes a Minato fan, he would try to uphold Minato's legacy even more. The villagers, seeing Naruto's newfound admiration for Minato, might start to see Naruto in a new light, more like how they saw Minato. Also, his relationship with Hinata could be different. Naruto might start to model his family - centered values after Minato, which could bring him and Hinata even closer as they plan their own family.
His relationships would change drastically. With his friends in the Hidden Leaf, there would be a sense of distance. For example, Sasuke might be confused by Naruto's decision. But at the same time, Naruto might form new relationships with the animals and plants in his hermitage area.
His relationship with Sasuke would become very strained. Sasuke, who has always been somewhat distrustful, would see Naruto as a real threat now. He might even consider Naruto an enemy and try to stop him.