Well, the plot could involve Naruto being trained in a very different way. Since he's the son of Minato and Mikoto, he might be taught a blend of the Namikaze and Uchiha techniques. For example, he could learn to combine Minato's Flying Thunder God Technique with some basic Uchiha fire - style jutsu. And there could be a story arc about how he unites the two clans that his parents come from, which have had some historical tensions. He would have to use his unique heritage to bring peace between them.
Naruto might be more confident from the start. Since he's the son of two respected shinobi, he could have a different self - image compared to canon Naruto. He might not have the same insecurities about being an orphan or not being good enough.
Perhaps a plot twist is that Naruto's true parentage was hidden because there was a prophecy about him being a threat to the current ninja order. Mikoto and Minato had to keep it a secret to protect Naruto from being killed as a child. But as Naruto grows stronger and starts to show signs of his powerful bloodline, those who fear the prophecy start to target him again. This would force Naruto to not only prove himself but also fight against the unjust system that wants to eliminate him based on a baseless fear.
Perhaps Naruto discovers that his parents' relationship was part of a larger, more secretive plan in the shinobi world. Maybe there was an ancient prophecy that led to Minato and Mikoto getting together to produce Naruto, who is destined for a special role. This could involve Naruto having to face some difficult choices about his identity and purpose. He might have to decide whether to follow the path laid out by this prophecy or create his own.
Naruto would likely be more confident from the start. Since he has the combined blood of Minato and Mikoto, he might not have the same insecurities as in the original story. He would probably be more aware of his potential and be more self - assured in his abilities.
A fanfiction could explore the backstories of these characters more deeply. For instance, how Mikoto came to be so proficient with her sharingan, and how her friendship with Minato and Kushina developed over time. This could add a lot of depth to the existing Naruto lore.
One possible fanfiction could involve Minato, Kushina, and Mikoto working together on a mission. Maybe they have to protect the village from a powerful enemy. Minato's speed, Kushina's chakra chains, and Mikoto's sharingan skills could combine in interesting ways during battles.
His relationship with Sasuke would be very different. Instead of just being rivals, they could be like brothers. Since Naruto would be related to Mikoto, Sasuke's mother, there would be a family bond between them. Naruto might feel more responsible for Sasuke's well - being and Sasuke could struggle with his feelings towards Naruto, as Naruto would now represent a part of his lost family.
It could be about an alternate universe where Naruto is the son of Mikoto. Maybe it explores how his life would be different, with different relationships and storylines considering his new family connection.
Yes, there are likely some 'Naruto Son of Evil Minato' fanfictions out there. Fanfiction websites are full of various creative takes on the Naruto universe. You can start by checking popular fanfiction platforms like FanFiction.net or Archive of Our Own. Just search for the specific title or relevant keywords to find ones that match this concept.