Well, one possibility could be that Naruto inherits some of Cooler's unique abilities. Maybe he has an innate power of extreme cold that he has to learn to control. This could lead to new jutsu development as he combines his existing ninja skills with this new power.
In a 'Naruto son of cooler' fanfiction, perhaps Naruto's heritage as Cooler's son would put him at odds with certain characters who fear his potential. This could create a whole new set of conflicts and alliances. He might also have to face the expectations that come with being related to such a powerful being, which could be a major source of internal struggle for him.
The story could start with Naruto discovering his true parentage. As the son of Cooler, he might be drawn to a different path than the one he initially followed in the original Naruto series. He could explore his Saiyan heritage (assuming Cooler's Saiyan - related traits are involved), which would open up a world of new training methods, power - ups, and a different view of his place in the ninja world. He might even attract the attention of intergalactic forces due to his connection to Cooler.
With his friends in Konoha, Naruto could be seen as both an asset and a potential danger. His friends might be in awe of his new abilities but also worried about how his connection to Cooler could draw unwanted attention to the village. His relationship with Kakashi could also change as Kakashi tries to help Naruto understand and control his new powers.
Well, one possibility could be that Naruto has some unique abilities inherited from Hermes. Maybe he has super speed like Hermes, which would completely change the way battles play out in the Naruto universe. He could use this speed to outmaneuver his opponents in a fight, and it would be a new and exciting addition to his existing skills.
The fanfiction could start with Naruto not knowing who his real father is. As he discovers that Deadpool is his father, he has to learn about a whole new world outside of the ninja world. Deadpool might have left some strange artifacts or powers for Naruto. Naruto then has to figure out how to use these things to his advantage, perhaps against a new threat that is too powerful for the normal ninja techniques. Along the way, he forms an unlikely alliance with some of Deadpool's former friends or foes, creating a really unique and exciting story.
Well, in this 'Naruto son of Maleficent' fanfiction, Naruto could inherit Maleficent's ability to transform into a dragon. This would be a huge advantage in battles against powerful foes in the Naruto universe. However, he would first need to learn to control this power. Maybe he gets training from an unexpected source, like a hermit who knew his mother in the past. And as he masters his powers, he also tries to change the perception of his village towards him.
The plot might involve Naruto growing up in a world that's a mix of Naruto - like elements and High School DxD. Grayfia would be his mother figure, and he'd inherit some of her abilities or characteristics. There could be a conflict where Naruto's original ninja values clash with the values of the new world. He might also have to face enemies who are after him because of his connection to Grayfia. And as he grows, he discovers more about his true identity and his place in this strange new world.
In such a fanfiction, the plot could involve Naruto growing up with Itachi as his father figure. He might inherit some of Itachi's unique abilities like the Sharingan in a unique way. Maybe he would face different challenges in the ninja world, as people would react differently to him being the son of Itachi. Also, his relationships with other characters like Sasuke would be very different, perhaps a more brotherly bond from the start.
One reason Naruto is cooler is his dream. He wants to be Hokage, and he chases this dream with all his might. He's not born with all the natural talent like Sasuke, but he overcomes his limitations through sheer hard work. His sense of humor is another plus. He can make people laugh even in the middle of a battle, which makes him a more relatable and cooler character.
Well, it could be a wild mix of the Naruto and Sailor Moon universes. Maybe Naruto has some of Sailor Moon's powers like the ability to transform and use a magic wand in addition to his ninja skills. His appearance might also be a blend, with his spiky hair and Naruto - like features but also having some of Sailor Moon's charm. He could be on a quest to save both the ninja world and the magical world from a common enemy that threatens both realms.
Well, it could be that Naruto, as Merlin's son, has hidden magical powers that he discovers gradually. Maybe he uses these powers in the Naruto universe to fight stronger enemies or to bring peace in a different way. For example, his magic could be combined with his ninja skills.
One possible plot could be that Naruto grows up in Gotham instead of the Hidden Leaf Village. He would be exposed to the Joker's madness and chaos from an early age. However, his inborn ninja spirit might make him want to fight against the Joker's evil ways and bring some kind of order to Gotham, using his ninja skills in a very different and challenging environment.