Well, one new ability could be a resistance to certain types of toxins or poisons. Wolverine's body has a natural resistance, and Naruto might inherit that. This would be useful in the ninja world where poisons are often used. Another aspect could be his mental fortitude. Wolverine has a tough mind, and Naruto could gain that as well. He would be more resistant to mind - control techniques or illusions. This would make him even more reliable in battles against powerful opponents who use such tactics. Plus, his ability to adapt to different environments could be enhanced. Just like Wolverine can survive in harsh conditions, Naruto could do the same, whether it's in a freezing tundra or a scorching desert.
He might gain an enhanced sense of smell that could help him track enemies over long distances. Just like Wolverine can smell fear or detect the presence of people from far away, Naruto could use this to his advantage in finding missing - nin or locating hidden bases. Also, his balance and reflexes could be improved. Wolverine has amazing reflexes, and Naruto would inherit that, making it harder for enemies to land a hit on him during battles.
Aside from the claws and healing factor, Naruto could gain a more animal - like instinct. This could make him more in tune with nature, similar to how some ninja already have a connection with animals. He might be able to sense approaching danger before it's visible. Moreover, his endurance would be off the charts. Wolverine can keep going in a fight for a long time, and Naruto would be the same. He could fight for days without getting overly tired, which would be a huge advantage in long - drawn - out battles or during times when he has to protect the village for extended periods.
Well, Naruto could gain the ability to heal in a more advanced way. Just as the avatar can sometimes use their connection to the elements to heal, Naruto might be able to do the same with his chakra. He could also have the power to merge with the natural world around him, similar to how the avatar can connect with nature. This would give him an edge in stealth and surprise attacks. Plus, he could develop a new form of sensing, being able to detect not just chakra but also the energy of the elements around him.
Naruto would gain some really cool (pun intended) new abilities. The ice - making ability would be the most prominent. He could form ice clones, similar to his shadow clones but with the added advantage of being made of ice and potentially having more durability. His sensory abilities might also be enhanced, as Esdeath has a good sense of her surroundings when using her powers. He could detect enemies hidden in the ice or snow. And, like I said before, the time - freezing power. This would allow him to analyze his opponents' moves during the frozen time and come up with the perfect counter - attack. It would add a whole new dimension to his combat skills.
Naruto could gain enhanced senses from the Ghost Rider powers. In the Naruto world, this would help him in detecting hidden enemies or traps more easily. The ability to ride the flaming motorcycle would also be a new skill. This could be used for quick transportation during missions or battles. He could also gain the power of transformation into the Ghost Rider form, which not only gives him a more intimidating look but also access to all the other Ghost Rider abilities. And with the Ghost Rider's connection to the spirit world, Naruto might be able to communicate with spirits in the Naruto universe, which could lead to new plot developments.
He might gain the ability to see chakra in a more detailed way. Since the Rinnegan is known for its enhanced visual perception of chakra, Naruto could use this to his advantage when dealing with Kurama's chakra. He could also potentially use the Rinnegan's power to enter Kurama's mindscape in a new way, maybe with more control and understanding. Another possible ability is to transfer Kurama's chakra to others in a more efficient and controlled manner using the powers of the Rinnegan.
He could gain the ability to become invisible at will. The One Ring has the power of stealth in Tolkien's lore, and this could translate to Naruto being able to sneak up on his enemies undetected. He might also gain the power to influence the minds of others, which would be a huge advantage in negotiations or battles.
One new ability could be the power to charge his own body with kinetic energy for enhanced physical attacks. He could deliver punches or kicks that explode on contact, similar to Gambit's charged staff strikes. Another ability would be to create energy barriers by rapidly charging the air around him. This would be a great defensive move, something Naruto currently lacks in his regular skill set. He could also potentially use Gambit's power to sense the energy levels of his enemies from a distance, giving him an advantage in strategizing his attacks.
He might gain enhanced senses like better hearing and smell, which are common for hanyous. This would help him in tracking enemies or sensing danger even before it's visible. Also, he could have increased physical strength and speed. His already impressive ninja skills combined with the hanyou powers could make him a formidable fighter in close combat.
Naruto would likely gain the ability to use all six paths techniques. The Rinnegan allows the user to manipulate gravity, as seen when Madara used it. Naruto could use this to enhance his combat skills, for example, pulling enemies towards him or pushing them away forcefully. He could also use the Preta Path to absorb chakra, which would be a great addition to his already large chakra reserves.
Another ability could be dark energy projection. Naruto could project bolts of dark energy from his hands or body. This energy could be used to blast away enemies or even to corrupt other things it touches, like sealing jutsu or barriers. It would be a very different and more sinister form of attack compared to his normal Rasengan.
Well, aside from the 'angry' and 'lust' parts which are not always positive themes, some common themes could be power struggles. In Naruto's world, power is a big deal. So in these fanfictions, characters might be angry because of power imbalances and lust could be related to the desire for power. For example, a character might lust after a powerful jutsu and be angry when they can't obtain it.