One possible plot could be them trying to keep their relationship a secret from their friends. For example, they might have to come up with excuses for why they're always disappearing together. Another plot could involve Hinata's family finding out. Her father might initially be against it, but then come to see how much Naruto has changed and grown, and finally give his blessing.
Often, a common plot is set in an alternate universe where Naruto isn't as dense about his feelings. He quickly realizes he likes Hinata and they start a secret relationship. There are also plots where Naruto is jealous when he sees Hinata with another guy, which makes him realize his own feelings. And sometimes, there are time - travel plots where Naruto from the future comes back and realizes he should have paid more attention to Hinata in the past, thus secretly liking her all along.
One possible plot could be that they have to keep their relationship a secret from Ron, who might be jealous. So they meet in hidden corners of Hogwarts, like the Room of Requirement, to spend time together.
Well, one interesting plot could be characters going on unusual dates in the Hidden Leaf Village. For example, Naruto might take Hinata on a date to his favorite ramen place, and they could have a really cute moment sharing their favorite flavors. Another plot could be a dating competition among the ninja, where they have to show off their skills and charm to win a date with someone they like.
In fanfiction, anything can happen. So it's possible that Naruto is depicted as secretly dating in some fanfictions. But in the official Naruto storyline, there's no such plot.
Yes, there are likely fanfictions out there with this concept. Fanfiction writers often come up with unique pairings and storylines. You can try searching on popular fanfiction websites like FanFiction.net or Archive of Our Own (AO3).
One interesting plot could be that Devil Naruto has to protect Hinata from the dark forces that are after his newfound devil powers. Another could be a story where Hinata tries to bring out the good in Devil Naruto. For example, Hinata's kind heart might start to soften Devil Naruto's cold exterior over time.
Another plot could be an AU (Alternate Universe) where Naruto and Hinata are in a different setting, like a modern high school. Naruto could be the popular jock type and Hinata the shy girl. They meet in a school club and their relationship develops from there. It's interesting to see how their Naruto - and Hinata - like traits are translated into a modern - day context.
One interesting plot could be Naruto having to balance his relationship with Hinata while also dealing with the attention of other female characters in the harem. Maybe they all go on a mission together and Naruto has to protect them all, which leads to some comical and heart - warming moments.
One interesting plot could be the growth of their children. For example, how they inherit the ninja skills from Naruto and Hinata and face their own challenges in the ninja world. Another plot might be the family's role in maintaining peace between different ninja villages. They could use their influence to promote cooperation.
One interesting plot could be that Naruto and Hinata become teachers at the Ninja Academy together. They could teach the new generation of ninjas about the importance of teamwork, just like how they worked together in their own adventures. For example, Naruto could teach combat skills while Hinata focuses on teaching stealth and perception. Their different teaching styles would complement each other and create a fun and educational environment for the students.