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.
One possible plot is that Goku's son in the Naruto world is born with a unique power that combines ki and chakra. He could be on a quest to find a way to bring peace between the two different power systems. Along the way, he meets Naruto and they team up, with Naruto teaching him about the ninja way and he in turn shows Naruto some of his Saiyan techniques.
Well, it could be about Naruto somehow obtaining the power of Son Goku. Maybe there's a strange jutsu that fuses their powers. Naruto could use Son Goku's strength in battles, like having his speed and ki blasts along with his own ninja skills.
Perhaps the story could start with Naruto having strange dreams about Goku's life. As the story progresses, he gradually unlocks Goku's powers. He could then use these powers to protect the Hidden Leaf Village in a more powerful way. For instance, when the village is under attack by a powerful enemy, Naruto could transform into a Super Saiyan - like state, shocking his enemies and allies alike. His training would also change, as he'd have to learn to control his new Saiyan powers, which would be a whole new journey for him.
In a 'Goku adopts Naruto' fanfiction, perhaps Goku accidentally travels to the Naruto universe. He comes across Naruto, who is an outcast in his village at that time. Goku, not understanding the social structure but seeing Naruto's potential and loneliness, decides to adopt him. Goku teaches Naruto about the concept of Super Saiyan and how to harness his inner power in a different way. Naruto, in turn, shows Goku the beauty of ninja techniques. They might end up fighting against the Akatsuki together, with Naruto using his newfound Saiyan - like strength and Goku using some ninja - inspired moves.
One possible plot could be that Naruto, as Goku's brother, has to learn the ways of ki while also maintaining his ninja skills. Maybe they team up to fight a common enemy that threatens both the ninja world and the Dragon Ball universe.
In a 'Naruto descendant of Goku' fanfiction, the plot could involve the discovery of a hidden bloodline in the Naruto universe that is related to Goku. This descendant might initially be an outcast because of their strange powers. However, as the story progresses, they start to show the true potential of their combined heritage. They could teach the ninjas about ki control, which is similar to chakra control in some ways. And in turn, they learn about the complex political and social structures of the ninja world from Naruto and others.
A rogue ninja who has made a pact with dark forces. He wants to use Goku's son to open a portal to the Saiyan planet and then invade it. He would be constantly trying to manipulate the situation to get Goku's son to do his bidding. He has a team of minions who are also skilled in both ninjutsu and some dark form of ki - like powers.
A plot could involve a tournament where fighters from both universes participate. Goku enters because he loves a good fight, and Naruto joins to prove himself outside of the ninja world. At first, there's some misunderstanding between the two groups, but Goku and Naruto quickly realize they have a lot in common. They end up fighting side by side against some of the more underhanded competitors. As they progress through the tournament, they learn from each other's techniques and grow stronger. In the final battle, they face off against a super - strong opponent created by an evil wizard who wants to take over both universes.
Perhaps the plot involves Naruto being teleported to Goku's universe where he meets Female Goku. She's intrigued by his ninja skills and he's amazed by her superhuman strength. They end up training together. Female Goku helps Naruto understand how to control and use energy in a different way than chakra, and Naruto shows Female Goku some of his stealth and strategic combat techniques. Their friendship grows as they both strive to become stronger in their own ways.
It could be Orochimaru. He's always after power and seeing Naruto with Son Goku's power would make him a prime target. He might try to extract the power from Naruto for his own evil experiments.
A plot could involve Goku Black arriving in the Naruto world during a time of great unrest, like when the Akatsuki is causing chaos. He sees the shinobi as weaklings compared to his Saiyan strength. However, Naruto, with his Sage Mode and Nine - Tails chakra, manages to hold his ground against Goku Black in a first encounter. This catches Goku Black's attention, and he decides to study these 'new' powers. Meanwhile, the shinobi villages must decide whether to see Goku Black as a potential threat or an opportunity to learn from his power. Eventually, they could team up to fight a greater evil that emerges due to Goku Black's presence in their world.