Well, in some naruto forsaken fanfiction, there might be alternate storylines where Naruto has to face new and unexpected enemies. For example, he could be pitted against a powerful group from a hidden land that was never mentioned in the original series.
I'm not entirely sure as there could be many different interpretations in such a fanfic. It might involve Naruto being abandoned or rejected by a family with some sort of divine or 'kami' connection. Maybe he has to face hardships alone and find his own way in the ninja world without the support of this family.
Another way is to join Naruto - related fan communities. There, you can ask for recommendations. People in those groups are usually really into Naruto fanfiction and can point you towards some great 'naruto forsaken' stories. They might even share their own favorites with you and explain what makes them so good.
Obviously, Naruto would be one of the main characters. And since it's about being forsaken by a kami family, members of that family would also be important characters. They could be some sort of divine or semi - divine beings with their own powers and personalities.
I'm not sure exactly as I haven't read it. But it might be about a character or a group of characters who are abandoned or left in a difficult situation related to the moon. Maybe it's a fantasy story where the moon has some sort of power and those forsaken by it are dealing with the consequences.