The red Rinnegan could grant Naruto the power to manipulate natural elements in ways not previously possible. He might be able to combine all five basic elements (fire, water, earth, wind, and lightning) simultaneously and create entirely new substances or attacks. For instance, he could create a storm of electrified ice shards or a lava - like substance that has the fluidity of water. This would make his combat abilities even more diverse and unpredictable, giving him an edge in battles against powerful foes.
Maybe he would gain the ability to control the life force of others in a new way. With the red Rinnegan, Naruto could potentially heal or harm on a much greater scale. He could revive the recently deceased by restoring their life force, or he could drain the life force of his enemies to weaken them. This would be a huge shift from his normal abilities and add a new moral dimension to his character as he decides when and how to use such a power.
He could have the ability to use all six paths techniques right from the start. This means he could manipulate gravity like the Deva Path, absorb chakra like the Preta Path, and even revive the dead like the Outer Path.
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 develop the ability to use the Six Paths Sage Mode more effectively. Since the Rinnegan is related to the Sage of Six Paths, it would enhance his connection to that power. He might also gain the ability to create chakra chains similar to those of the Uzumaki clan but with an added Rinnegan - powered twist.
He could develop the ability to use the Preta Path more effectively. This path allows the user to absorb chakra, and Naruto could use it to nullify enemy attacks that rely on chakra. For instance, if an enemy uses a powerful fire - style jutsu that is chakra - based, Naruto could absorb the chakra of the attack, rendering it useless.
With the Rinnegan, Naruto might gain the power of the Human Path. This would allow him to read minds or rip out souls, which is a very dark and powerful ability that would be quite different from his usual positive - natured powers.
He could gain the ability to absorb chakra on a much larger scale. With his greedy nature, he might use this to hoard chakra from others, making himself super - powerful. He could also gain the power to control the six paths, which he might use to dominate others rather than for the common good.
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.
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, 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.
With the Rinnegan, he could have abilities like the Six Paths techniques. He might be able to use the Preta Path to absorb chakra attacks. And with the Hyoton, he could create ice - based jutsu that are much more powerful than normal ice jutsu, like freezing an entire area instantly.