A really interesting plot could be Naruto traveling back in time to the era before he was born. He could meet his parents and other important figures in the village's history. This would give him a chance to understand the roots of the village better and also learn some new jutsu or strategies that he could bring back to his own time to make the Hidden Leaf even stronger as a Hokage.
Rock Lee. He's often overshadowed by the main characters but he has a lot of potential. In a fanfic, he could be Naruto's right - hand man in training the new generation of shinobi. His unique fighting style and determination could inspire the young ones and he could also be a great help in protecting the village during tough times.
Shikamaru is another possibility. He is known for his strategic mind. As Hokage, he could use his intelligence to make wise decisions for the village. He may not have the brute strength of Naruto or Sasuke, but his ability to plan and analyze situations would be invaluable in leading Konoha.
It depends on the specific plot of the fanfic. Sometimes he could be on a secret mission, in a hidden village, or facing a new challenge in an unknown location.
Perhaps a perk is the ability to shape the future of the ninja world. As Hokage, one can inspire the younger generation of ninjas. They can create new ninja academies or training programs. They also have the power to pardon or punish ninjas according to their deeds, which helps in maintaining law and order in the village.
Sasuke could also be a possibility for the 6th Hokage in the fanfic. He has grown stronger over the years and his unique perspective on the ninja world could bring new ideas to the leadership of the Hidden Leaf. He might start off as a controversial choice but prove himself through his actions in protecting the village and making tough decisions.
I really like 'Naruto: Hokage's Ascent'. It delves deep into the political aspects of being Hokage, which is not often explored in great detail in regular Naruto stories. It shows Naruto having to make tough decisions for the village, and the relationships between the different ninja clans are also well - portrayed.
One possible fanfic could be about the 5th Hokage, Tsunade, facing a new and powerful enemy that the village has never seen before. This enemy could be a rogue ninja from a far - off land who has a special jutsu that can disrupt the chakra flow in the village. Tsunade would have to use her medical ninjutsu and combat skills to counter this threat and protect the village.
Yes, there are likely many fanfics with that theme. The Naruto fandom is huge and creative, so it's common to find fan - made stories exploring different 'what - if' scenarios, like Naruto becoming the fifth Hokage. You can look for them on popular fanfic websites.
There's also 'Naruto: The Uzumaki - Uchiha Alliance'. In this fanfic, Naruto forms an alliance between the Uzumaki and Uchiha remnants early on in his journey. It shows how this alliance changes the dynamics of the Naruto universe. There are some really interesting relationships that develop between the characters, and it's a great read for fans who want to see a different take on Naruto's story.