The story could also focus on Naruto's search for the truth. He might start to suspect that he was abandoned for a reason. This could lead to him uncovering secrets about his parents that were previously unknown. For instance, he could discover that they were forced to abandon him to protect him from a greater threat.
In this fanfiction, Naruto could be found by a different ninja. Maybe an older, retired ninja takes him in. This new caretaker could teach Naruto different values and skills than what he would have learned from his parents. As a result, Naruto's personality might develop in a unique way, less influenced by the Uzumaki and Namikaze clans.
Fanfiction about Naruto being abandoned by Minato and Kushina can also be a way to explore different power - up scenarios. Since he doesn't have the emotional support from his parents, he might be forced to seek power in other ways, which could lead to a Naruto with a very different set of skills and abilities compared to the original series.
A possible plotline is that Naruto gets adopted by a group outside the village. He grows up learning their ways and becomes a sort of outcast from Konoha. Then, he could return to the village with a different set of skills and a new perspective. Or, he might develop a vendetta against Konoha for allowing his abandonment and try to take revenge in some way.
Well, in such a fanfic, Naruto would probably have a very different personality. He might not be as optimistic. His training might take a different path too. Instead of having the Nine - Tails as a sort of legacy from his father, he could see it as just a curse that was left with him when he was abandoned. His bond with the village might be weaker as he was rejected by the two most important people who were supposed to be from the village in the first place.
In a fanfiction, their first kiss could happen after Minato saves Kushina from a group of attackers. As Kushina realizes she was in real danger and Minato was her hero, she might look into his eyes and they share a spontaneous kiss. It could be a moment full of raw emotion, with Kushina's heart pounding and Minato feeling a new level of connection to her.
One idea could be that Naruto grows up with his parents in a world where the Nine - Tailed Fox attack never fully happened. Minato and Kushina could train Naruto from a young age, passing on their unique jutsu and wisdom. Maybe Naruto would be less of an outcast and more of a confident shinobi early on.
One common theme is isolation. Naruto would be all alone without his parents, and this would shape his relationships. Another theme is revenge. In some fanfictions, he might seek revenge on the village for his abandonment.
There could be a plot twist where they are revived in a different time period. Maybe they are brought back during the era of the Sage of Six Paths. This would mean they have to adapt to a very different world with different rules and powers. Another plot twist could be that when they are revived, they are linked to an ancient evil. They have to fight this internal connection while also trying to figure out what has happened to the ninja world in their absence. Additionally, it could be that their revival was actually a test by the gods of the ninja world to see if they can bring about a new era of peace.
If Kushina and Minato abandoned Naruto in fanfiction, it would completely change the Naruto's character development. Naruto grew up lonely and seeking recognition because he was an orphan. Without their abandonment, he might have had a very different personality, perhaps more confident from the start. Also, the relationships in the village would be different. For example, Iruka might not have had the same special bond with Naruto as he did in the original story.
One way it could happen is if Naruto somehow gains the ability to travel back in time. Maybe through a powerful jutsu or a unique kekkei genkai. He could then use his knowledge of future events and his combat skills to save his parents from their tragic fate.
Maybe they enlist the help of other powerful ninjas. For instance, they could ask Tsunade for medical support in case Naruto is injured. They could also get intel from Shikamaru, who is known for his intelligence. By gathering a team of reliable and strong ninjas, they increase their chances of getting Naruto back successfully.