Perhaps his early birth gives him an edge in his ninja training. He could start learning advanced techniques sooner than in the original story. This might cause the village elders to take a different approach to him, either seeing him as a greater threat or a more valuable asset right from the start.
One possible plotline could be that Naruto's wings make him an outcast in the village at first. People are scared or jealous of his unique feature. But as he grows, he learns to use his wings in combat, perhaps in a new style of ninja fighting that combines aerial maneuvers. He could also use his wings to reach places quickly during missions, giving him an edge.
A plotline could involve Percy being bullied in a mortal school because he seems a bit odd. But then he discovers some ancient secrets that are somehow related to the world he should have been a part of as a demigod. He might start to find allies among some eccentric people who seem to know more about his true nature than he does, and together they uncover a mystery that bridges the mortal and the demigod world in an unexpected way. He has to constantly fight against the limitations of being a mortal while trying to figure out his place in a bigger picture.
In the 'izuku born a year early fanfiction', it could mean that he enters the hero academy a year earlier. This would put him in a different class dynamic. He might face more challenges as he's younger and less physically developed compared to his classmates, but his determination could still shine through and he could form unique relationships with his peers and teachers.
Yes, in fanfiction, anything can be possible. Writers can create alternate universes where Naruto is born in Kumo instead of Konoha. They can come up with various reasons for this change, like a mission that led his parents to Kumo before his birth or some sort of political arrangement.
One possible interesting plotline could be the exploration of a new power that the main character discovers, which is a result of their strong will. This power might set them on a journey to change the Naruto world in unexpected ways.
Another plotline could involve how Naruto's relationships change. For example, his friendship with Sasuke might be affected as Sasuke could be either more wary or more intrigued by Naruto's new 'demon' aspect. His relationship with his teachers like Kakashi might also shift as they try to help him manage this new power.
A possible plotline could be that Calypso, with her alluring powers, tries to tempt Naruto away from his path of becoming Hokage. But Naruto, with his strong will, resists and instead tries to show Calypso the importance of having a noble goal. Another plotline might be that Naruto and Calypso team up to fight a powerful entity that is causing chaos in both their worlds.
One possible plotline could be Naruto using his new position as a daimyo to bring about political reform in the ninja world. He might try to end the long - standing feuds between different ninja villages by leveraging his power.
One possible plotline could be that Naruto dies during a great battle, like against Kaguya. But his spirit remains because he has some unfulfilled desires, like seeing the village fully at peace. So, as a ghost, he tries to influence the living to achieve that peace.
A possible plotline could be Orochimaru's redemption. He realizes the error of his ways and joins Naruto in protecting the ninja world. He could use his vast knowledge of jutsu and forbidden arts to help Naruto against new threats.