Well, one possibility is that Rin would instill in Naruto her own values from the Hidden Leaf. Maybe she'd focus on teaching him about teamwork early on. Since she was a medic - nin, she could also start training Naruto in some basic medical ninjutsu, which would be a unique addition to his skills.
The story might explore how Naruto's character develops differently under Rin's care. For example, Rin's more gentle and nurturing nature compared to some of Naruto's other influences could lead to him being more empathetic from a younger age. He could also pick up on Rin's strategic thinking when it comes to combat situations, as she was no slouch in battle either.
If Naruto was raised by Rin, it could change his relationships with other characters. His bond with Kakashi might be even stronger, as Rin was an important part of Kakashi's life. Also, his interactions with Sasuke could be different. Maybe Rin's teachings would make Naruto more understanding of Sasuke's pain, and he'd be able to reach out to Sasuke in a more effective way.
One possibility is that Naruto's connection with the summons would make him more in tune with nature. For example, if he was raised by toads, he might learn their unique jutsu faster and have a different approach to combat. He could also have a different view on friendship and loyalty as summons often have a strong bond with their summoners.
In a 'Naruto Raised by Kushina' fanfiction, the relationship between Naruto and the other villagers could be very different. Kushina would likely be very protective of Naruto, and this might change how the villagers view him. They might see him more as an extension of Kushina, who was respected in the village. Also, Naruto's growth as a ninja could be more focused on his Uzumaki abilities, like strong chakra control and unique jutsu that Kushina could teach him, rather than just his Jinchuriki status.
The plot might revolve around the challenges they face due to Rin's feelings. Naruto could be initially oblivious to her love. And there could be other characters who either support or oppose their relationship. For example, Sasuke might be suspicious of Rin's intentions, thinking she could be a distraction for Naruto. Also, the fanfic could explore how Rin deals with her own emotions while still being a part of the ninja world and having her own duties.
One possibility is that Rin would have told Naruto about Obito. This could shape Naruto's view of the world in a very different way. He might be more determined to find a way to bring peace to the world, not just for the present but also to fulfill what he might see as Obito's unfulfilled dreams. And Naruto's relationship with Kakashi could also be very different, as Kakashi has a deep connection with Rin and Obito. They could form a more complex bond, with Naruto having a unique perspective on Kakashi's past.
One possibility is that Naruto would grow up with a different set of values and skills. Pakura, being from Suna, might teach Naruto different ninjutsu techniques specific to the Sand Village. For example, he could be more proficient in wind - based jutsus earlier on. Also, his personality might be shaped by Pakura's no - nonsense attitude, making him more serious and focused in his ninja training from a young age.
If Naruto was raised by Tsunade, he'd likely have a different relationship with the village. Tsunade being one of the Sannin, Naruto would be associated with a high - level shinobi from the start. This could lead to him getting more respect and different training opportunities. Maybe he'd be more involved in the political side of the village too, since Tsunade is the Hokage at some point.
The plot could be really interesting. Since Obito has been through so much, he might train Naruto in a more unorthodox way. Rin, on the other hand, would provide a more nurturing and moral compass for Naruto. They could also influence Naruto's relationships. He might not have the same bond with Sasuke or Sakura as in the original. Instead, he could form new alliances based on what he learned from Obito and Rin.
The fanfiction might explore Percy's relationships in a new light. For example, his relationship with Annabeth could be strained as he now has loyalties to Gaea. His friendships with other demigods might also change drastically. Maybe he'd be seen as a threat and have to fight against his former allies. Overall, it would be a complete upheaval of the original Percy Jackson story dynamics.
One possibility is that Naruto's upbringing by the kitsune gives him a different set of skills and values. He might be more in tune with nature and have a more mysterious aura. With the fem Kyuubi aspect, perhaps there could be a unique relationship where the fem Kyuubi acts as a guide or protector. It could also lead to Naruto having a different view of his own power and the power of the tailed beasts.
Well, it could be a story full of interesting cultural clashes. Naruto's ninja world values might contrast with the magic - based world where Glynda is from. For example, Naruto's determination and never - give - up attitude could inspire the students in Glynda's world. Maybe he'd introduce his unique jutsu, like the Rasengan, which could be seen as a form of magic in that new setting.