A third plot might be that they travel to a time way before the founding of the ninja villages. Here, they could witness the origin of ninjutsu and the early clans. They may try to influence the development of the ninja world from its very roots, perhaps even trying to create a more unified and peaceful ninja society from the start without all the future conflicts that were based on old grudges and power struggles.
In many time travel fanfictions, their relationship often becomes more understanding. Since they already know each other well in the future, when they travel back, they can skip the initial hostilities. For example, if they go back to their academy days, Sasuke might not be as cold to Naruto as he was originally because he already knows Naruto's true nature and what they will go through together in the future.
One great 'Naruto Hokage Time Travel Fanfiction' is 'A New Beginning'. It has an interesting plot where Naruto travels back in time and uses his knowledge to change many things in the ninja world. The character development is really well - done, especially how Naruto becomes more cautious and strategic with his second chance at life.
Another possibility is Naruto traveling back to his own childhood days. He could mentor his younger self, teaching him advanced jutsu and wisdom he's gained over the years. This would make his younger self much stronger much earlier, and might also change how he interacts with Sasuke. For example, he could help his younger self better understand Sasuke's pain and prevent some of their earlier conflicts.
A really interesting fanfiction idea could be that Sasuke in the Anbu discovers a conspiracy within the village that even Naruto as Hokage is unaware of. Sasuke then has to decide whether to go to Naruto directly or investigate further on his own. This would create a lot of tension and drama, as Sasuke's loyalty to the village and his relationship with Naruto are both at stake.
One possible scenario in such a fanfiction could be Naruto as Hokage having to deal with political situations in the village while Sasuke, as an Anbu, is sent on dangerous covert missions. Naruto might rely on Sasuke's intelligence and combat skills from his Anbu work to protect the village from external threats. They could also have some internal conflicts due to their different roles and the secrecy associated with Sasuke's Anbu work.
Another idea for this fanfiction is that Naruto's time travel as the 6th Hokage could lead to him meeting his predecessors in a different way. He could learn new jutsu or leadership skills directly from them. For instance, he could have in - depth conversations with the 1st Hokage, Hashirama, about how to better manage the relationships between different ninja clans and build a stronger, more united village.
One great fanfiction could be 'The Bond Beyond'. It delves deep into the relationship between Naruto and Sasuke after Naruto becomes Hokage. It shows how they work together to face new threats to the village. The story has great character development and really captures the essence of their friendship and mutual respect.
Sakura is a very popular character to include. She has a long - standing relationship with both Naruto and Sasuke. Her medical ninjutsu skills can be very useful in various plot situations. Kakashi is also popular. His experience and unique jutsu can add depth to the story. Another popular character is Shikamaru. His intelligence can be a great asset in devising strategies against enemies.
Their relationship would be one of mutual respect. Naruto, as Hokage, would trust Sasuke's abilities as an Anbu member. Sasuke, on the other hand, would respect Naruto's leadership. They would be comrades again, but with a new dynamic due to their different positions in the village.