Sure. There's a fanfiction where Sakumo instills in baby Kakashi the importance of loyalty to the village and family. He tells Kakashi stories of their ancestors and how they always protected Konoha. This story emphasizes how family values are passed down through generations in the Hatake family.
One interesting story could be about baby Kakashi's first training session with Sakumo. In this fanfiction, Sakumo might be teaching baby Kakashi basic ninja skills like how to hold a kunai properly. It could show the cute and clumsy attempts of baby Kakashi as he tries to mimic his father.
Their bond can be shown through silent communication. Since Kakashi is a baby, he can't talk much, but Sakumo can understand his needs and wants just by looking at his expressions. For example, if Kakashi is reaching for a certain object, Sakumo immediately knows what he desires. Another way is through shared dreams. In the fanfiction, it could be written that they have a special connection where they sometimes share the same dreams, which could be about their future ninja adventures or just happy family moments.
A possible plot is that Sakumo discovers Kakashi has an extraordinary talent very early on. So he tries to find the best way to nurture it without pushing the baby too hard. For example, he might give Kakashi a small kunai to play with and notice that he has an unusual grip and focus on it. Then, he could start introducing very basic ninja concepts related to the kunai, like balance and aim. Or perhaps there is a story where Sakumo has to leave baby Kakashi with a friend for a short time and when he comes back, Kakashi has learned something new and unexpected from that person.
With Minato, Kakashi's relationship could also shift. If Sakumo is alive, Kakashi may not be as eager to prove himself in the same way. Minato might see a different side of Kakashi, one that is more at peace with himself. This could lead to a more mentor - mentee relationship based on mutual respect and understanding rather than Kakashi's need for validation.
One possible plotline could be Kakashi using his knowledge from the future to prevent Sakumo's suicide. He might try to change the events that led to Sakumo being shamed in the village. For example, he could expose the real reasons behind certain missions' failures that were wrongly blamed on Sakumo. This would not only save Sakumo but also potentially change the entire future of the Hidden Leaf village, as Kakashi's own life and development were deeply affected by Sakumo's death.
A family might have a story where they all volunteer at a local shelter together. By doing this, they are teaching their children the values of kindness, compassion, and helping those in need. It also gives the family a sense of purpose and unity as they work towards a common good.
Kakashi would approach Naruto's pranks with a mix of discipline and love. For instance, if Naruto tries to scribble on the walls, Kakashi would stop him gently. He'd then sit Naruto down and show him where he can draw instead, like on a piece of paper. He'd also tell Naruto stories about how important it is to respect their home. When Naruto does something really naughty, like trying to pull the cat's tail, Kakashi would firmly say 'No' but then immediately follow it up with a hug. He wants Naruto to learn right from wrong but also wants to make sure Naruto knows he is loved no matter what.
One aspect of Naruto and Kakashi family fanfiction could be the idea of Kakashi mentoring Naruto not just as a sensei but as a family member. This could involve Kakashi helping Naruto understand the importance of family values, which Naruto lacks growing up. In fanfiction, we could see Kakashi inviting Naruto to family - like gatherings with Team 7, making Naruto feel more included and part of a family unit.
Well, in a fanfiction scenario where Naruto saves Sakumo, it could be that Naruto has mastered some new jutsu that allows him to enter into Sakumo's mind. Sakumo was in a very dark place after being shamed by the village. Naruto could use this jutsu to show Sakumo that there is still hope and that his worth is not defined by the village's opinion. Then he could bring Sakumo back to a positive state of mind and save him from self - destruction.
Well, perhaps in the fanfiction, Sakura discovers she has a baby from some sort of mysterious experiment gone wrong. Kakashi, being the reliable and kind - hearted ninja he is, steps in to help her. He teaches her how to be a strong mother while also protecting the baby from those who might want to use it for their own evil purposes. They end up forming a little family unit of sorts.