One possible plot in this 'naruto caught hinata dead fanfiction' is that Hinata was assassinated by a secret enemy. Naruto, when he catches her dead, is heartbroken. His world shatters as Hinata was not only a love interest but also a dear friend. He would probably go on a rampage at first, full of anger and pain. But then, he would start to think more rationally and use his ninja skills to uncover the conspiracy behind her death. He may also have to deal with the reactions of other characters, like her family and their friends, all while struggling with his own emotions.
It could be an old enemy of the Hyuga clan. Since Hinata is a part of the Hyuga, someone with a vendetta against the clan might target her.
Well, perhaps it's a dark, alternate universe fanfiction. In this world, there are some dark forces at play. Lilith Hinata gets involved in a battle she can't win, and she dies. Naruto, who has a special bond with her, then has to face the reality of her death and also fight against the forces that caused it. He might go on a revenge mission, and the story could be about his transformation during this difficult time.
A simple plot could be that Hinata gets injured while on a mission, and Naruto takes it upon himself to nurse her back to health. During this time, they have long conversations and get to know each other on a deeper level, leading to the start of their romantic relationship.
In this fanfiction, perhaps Lilith is an ancient and powerful being. She catches Naruto because she views him as a threat to her plans. Naruto, being the tenacious hero he is, tries to find a way to escape while also learning more about Lilith's motives. It could involve a lot of action scenes as Naruto uses his ninja skills against Lilith's otherworldly powers.
In this fanfiction, perhaps Hinata and Naruto are living together and learning more about each other on a deeper level. Hinata could be teaching Naruto some of the traditional Hyuga clan techniques, while Naruto shows Hinata some of his unique jutsu. Their living situation might also involve a lot of visits from their friends like Sakura and Sasuke, creating some really fun and heart - warming group dynamics.
It could also be a misunderstanding. Hinata might be framed as a traitor. Some false evidence could be planted that makes Naruto and his friends believe she has betrayed them. This would lead to a lot of drama and conflict in the fanfiction as Naruto struggles with whether to believe Hinata or the evidence against her.
The plot could involve Naruto protecting Hinata from the Hyuga clan's strict traditions. Since he's not bound by those traditions as her brother, he could fight against the elders who want to keep Hinata in a subservient role.
It could be about Naruto and Hinata going on a secret adventure together. Maybe they discover a hidden place in Konoha that no one else knows about and have to protect it from some sort of threat.
In a 'Naruto and Hinata reborn fanfiction', perhaps they are reborn with enhanced abilities. They might be reborn into a world where ninjutsu works differently. Naruto could be more in touch with his Uzumaki heritage from the start, and Hinata might have a new form of Byakugan. They would have to learn how to use these new powers together, and also navigate their relationship, which may be different from their past life due to different circumstances.
One possible plot could be that the Joker discovers a way to travel between universes and ends up in the Naruto world. He decides to target Konoha because it seems like a place full of order that he wants to disrupt. Naruto and Hinata notice the strange new presence in the village. They initially underestimate the Joker, but as he starts causing mayhem, they realize they need to combine their skills to stop him.