In a Naruto saves Asuma fanfiction, Naruto could use his new jutsu skills. Maybe he discovers a way to reverse the damage done to Asuma. It could be related to his Sage Mode powers, which he could use to heal Asuma's wounds.
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.
One of the most popular is 'Naruto Shippuden: Sakura Hiden - Thoughts of Love, Riding Upon a Spring Breeze'. It's popular because it shows Sakura in a new light, with her own adventures and growth.
Yes, there are quite a few. You can start by looking on popular fanfiction websites like FanFiction.net or Archive of Our Own. Some of them might focus on their unique bond, like adventures they could have had together or how Asuma's teachings could have influenced Naruto in different ways.
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.
I don't think it's strange at all. Naruto is a very curious person. Fanfiction can offer new perspectives on his own life and the lives of his friends. He might learn something new about himself or get inspired by the creative ideas in the fanfiction. It could also be a form of entertainment for him during his downtime.
A Naruto x Hinata fanfiction could focus on a mission they go on together during Naruto Shippuden. They are forced to rely on each other in a dangerous situation. Hinata gets injured protecting Naruto, and Naruto is filled with a new - found determination to protect her. This experience deepens their bond, and Naruto starts to see Hinata in a whole new light, leading to the start of their romantic relationship.
Well, normal Naruto Shippuden fanfics are likely to be centered around the adventures, growth, and battles of the characters. They might explore different what - if scenarios within the framework of the Naruto universe. But 'naruto shippuden diaper fanfic' is likely to be more of a novelty or a very specific and strange take on the characters. It might not have the same depth or connection to the original story as normal fanfics do. For example, normal fanfics could focus on how a character overcomes a difficult battle, while a 'diaper fanfic' would be more about a really odd situation involving diapers which has little to do with the main Naruto themes.
Another interesting novel is 'Naruto Shippuden: Kakashi Hiden - Lightning in the Icy Sky'. It focuses on Kakashi's story and his past, which is really fascinating. There are a lot of details about his relationships and his growth as a ninja.
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.