Kakashi, as Naruto's former teacher, could also continue to teach him new jutsus. He has a vast knowledge of different jutsus from various elements. He could teach Naruto some new lightning - style jutsus, or some combination jutsus that combine different elements in a more efficient and powerful way.
Jiraiya could return in some form in the fanfiction and teach Naruto more sage jutsus. Jiraiya was a master of Sage Mode and there could be more to it that he didn't have time to teach Naruto before. Maybe some sage jutsus that are specific to the Mount Myōboku toads and can be used to enhance Naruto's existing abilities even further.
Sasuke could be one of the people to teach Naruto new jutsus. They have a friendly rivalry and Sasuke has some unique jutsus like his Rinnegan - related abilities. He could teach Naruto some aspects of the Rinnegan's power, or at least how to counter it more effectively which could be considered a new 'jutsu' in a sense.
He could potentially learn the Flying Thunder God Technique. It's a very powerful jutsu that Minato was famous for. Naruto's already fast with his Sage Mode and Nine - Tails Chakra, and this would make him even more formidable in battle.
He might learn a time - traveling jutsu. This would be really cool as it could allow him to go back and change certain events in the Naruto world, or gain knowledge from the past to use in the present battles.
It could be a wandering sage. These sages are often full of strange and powerful knowledge. They might see potential in Naruto and decide to teach him hypnosis as a way to expand his combat skills.
One jutsu he could invent is the 'Elemental Mimicry Jutsu'. With this, Naruto could temporarily take on the properties of any element he has encountered. For example, he could become as fluid as water to slip through attacks or as solid as earth to withstand powerful blows.
It could be an old hermit. You know, those wise old guys who live in the mountains and have been guarding ancient ninja secrets. He sees potential in Naruto and decides to pass on the lost taijutsu to him.
He could become even more powerful. The Vacuum Jutsu might allow him to defeat stronger enemies more easily.
In fanfiction, Naruto learning the Vacuum Jutsu could be really cool. It might give him a new and powerful offensive technique. Maybe he'd learn it from an unexpected source, like an old hermit in a forgotten land. This could potentially change the power dynamics in battles he's in.
In a more creative fanfic, an ancient ninja who was the originator of the Chidori technique could appear. This ninja could be brought back to life through some sort of magic or jutsu. He sees Naruto's pure heart and decides to pass on the Chidori knowledge to him, believing Naruto will use it for good.
Maybe an ancient sage in Naruto's own world who has long - been in seclusion. This sage has knowledge of different power systems beyond just chakra. He notices Naruto's pure heart and strong will and decides to pass on his knowledge of haki to Naruto, believing that Naruto can use it for the greater good of the ninja world.
If Naruto invented the 'Energy Absorption Jutsu', it could change the plot significantly. He could absorb the chakra or energy of his enemies, weakening them while strengthening himself. This would make him an even more formidable opponent and could potentially shorten battles, as he could quickly disable foes.