In such a fanfiction, it could lead to some interesting plot twists and character developments. Maybe Goku's identity as Kakarot would be explored in a deeper and more complex way.
With his son Gohan, the relationship could be strained. Gohan has always looked up to Goku as a hero. But as Kakarot, Goku might push Gohan to be more like a traditional Saiyan, which could be too much for Gohan. Also, Vegeta's view of Goku would change. Vegeta has always seen Goku as a rival but also respects him. As Kakarot, Vegeta might see him more as a threat to the Saiyan way of life or as a potential ally in a more Saiyan - centered agenda.
One possibility is that Goku starts to remember more of his Saiyan past as Kakarot. Maybe he begins to have flashes of his original mission on Earth, which was to destroy it. This could create an internal conflict within him as he has grown to love Earth and its people. He might struggle with his identity, trying to reconcile the ruthless Saiyan warrior Kakarot was supposed to be with the kind - hearted Goku he has become.
Yes, there are likely some 'naruto son of goku fanfic' out there. Fanfiction websites are full of creative and often crossover stories. You can try searching on popular fanfic platforms like FanFiction.net or Archive of Our Own. They have a vast collection of fan - created works, and with some keyword searching, you might find the 'naruto son of goku' fanfic you're looking for.
In the Kakarot game story, there are various arcs. For instance, the Saiyan Saga is well - represented. You see Goku training and then facing off against his own Saiyan brethren. There are also side stories about his friends like Krillin. The game does a great job of bringing the anime's story to life with its graphics and gameplay. You can explore the world, do quests related to the story, and feel like you're truly part of the Dragon Ball Z universe.
Well, it could start with some sort of interdimensional or magical event that links the Naruto and Dragon Ball universes. Maybe Goku somehow ends up in the Naruto world and has a relationship there, resulting in Naruto being his son. Then Naruto could inherit some of Goku's powers, like super strength or the ability to fly, on top of his own ninja skills. He might use these new powers to face even greater threats in the Naruto world, like stronger versions of the Akatsuki.
In 'oc son of goku fanfiction', antagonists can also be from other universes. There could be powerful warriors from parallel universes who come to challenge the OC because they see him as a key to controlling the multiverse or because they want to prove their universe's warriors are stronger. Also, some of Goku's old enemies might have descendants who hold grudges and target the OC as a way to settle old scores.
Well, it could be that Goku somehow ends up in the Naruto universe and has a son with a female character there. And this son has both the powers of a Saiyan like super strength and the ability to use chakra for jutsus. Maybe he's an outcast at first because of his strange powers but then becomes a hero.