Perhaps the Hokage has made a decision that Naruto believes will destroy the village's future. Like if the Hokage decides to sacrifice a large number of innocent villagers in order to achieve a short - term goal. Naruto, with his strong sense of justice, might see killing the Hokage as the only way to stop this madness.
Well, it depends on how it's written. If it's just for shock value, it might not be a very good fanfic. But if the author has a well - thought - out plot that explains Naruto's actions, like if the Hokage has been secretly evil all along and Naruto discovers this and has to take drastic action, then it could be an interesting take. However, it's still a very controversial concept within the Naruto fan community.
He would likely be seen as a traitor by the village. The villagers, who once saw Naruto as a hero - in - the - making, would now turn against him. He'd be hunted by the ninja forces of Konoha.
The concept of Hokage Naruto killing Sasuke goes against the essence of their relationship in the original series. Naruto has always been striving to save Sasuke, to bring him back to the right path. However, in some very niche and edgy fanfictions, this might be explored. But overall, it's not something that is widely embraced. The Naruto fanbase generally gravitates towards positive resolutions of their relationship.
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.
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.