In some fanfictions, Asuma might train Naruto in stealth and strategy. For example, he could set up mock battles where Naruto has to outwit his opponents using clever strategies rather than brute force. This type of training would add a new dimension to Naruto's ninja skills.
One interesting Naruto Asuma fanfiction could be about his unfulfilled dreams. It might show how he had plans for the future of the village and his students that were cut short by his untimely death. It could also include his thoughts on important events in the Naruto world that he didn't get to fully participate in. Fanfictions often give a chance to explore these 'what - if' scenarios.
Perhaps Asuma helps Naruto to better control his chakra in unique ways. He could introduce some special training methods that are not taught in the regular academy. This would give Naruto an edge in the exams, like being able to use more powerful jutsus without exhausting his chakra too quickly.
There could be a fanfiction where Kakuzu trains Naruto in dealing with his chakra in a more efficient way. Since Kakuzu has unique abilities related to his chakra and his multiple hearts, he could pass on some knowledge to Naruto about conserving and using chakra better. For example, he might show Naruto how to distribute chakra evenly throughout his body for faster movement or stronger attacks.
One interesting fanfiction could be 'Minato's Training Legacy'. In this, Minato imparts his unique jutsu knowledge to Naruto in a very detailed and creative way. It might show Minato teaching Naruto how to better control his chakra for the Rasengan, just like he did in the original series but with more in - depth exploration.
One interesting 'Akatsuki trains Naruto' fanfiction could be one where the Akatsuki members teach Naruto unique jutsu. For example, they might show him some dark - side - influenced ninjutsu that he can then adapt to his own style. Another could involve them training Naruto in stealth and espionage, skills that the Akatsuki are known for.
One interesting 'Nagato trains Naruto' fanfiction could be where Nagato imparts his unique skills and knowledge about the Rinnegan to Naruto. This might include training Naruto in the various abilities associated with the Rinnegan, like the Six Paths techniques.
One interesting fanfiction could be where Iruka trains Naruto in advanced ninjutsu techniques that are not taught in the regular academy. This could lead to Naruto becoming even stronger at a faster pace and having unique skills in battle.
Asuma's training might make Naruto more disciplined. Naruto is known for his impulsive nature, but under Asuma's guidance, he could learn to think before acting.
The fanfiction titled 'Naruto's Training with Asuma and Kurenai' is quite good. It focuses on Naruto's training sessions with the two. It includes detailed descriptions of the techniques they teach him, and how Naruto adapts and improves. It's a great read for those interested in seeing Naruto's development under different mentors.
There could be a fanfiction where Danzo trains Naruto after realizing that Naruto's unique chakra and ability to make friends could be harnessed for the Root's purposes. However, Naruto being Naruto, he would try to influence Danzo to use these skills in a more positive and moral way, leading to an interesting dynamic between the two characters.