You can start by looking on popular fanfiction websites like FanFiction.net or Archive of Our Own (AO3). These platforms have a large collection of Naruto fanfictions, and you can search for 'naruto lives free' in their search bars.
It might be about Naruto living freely in a sense that he can make his own choices regarding his relationships. For example, he could choose his friends and allies more freely without political interference. In this fanfiction, he might not be bound by the traditional shinobi rules and hierarchies, allowing him to interact with different clans and villages on his own terms.
He could also interact with the scientists on Pandora. They might be interested in Naruto's abilities and study him. Naruto could in turn learn about their technology, which is so different from what he has in his own world. He might even help them solve some problems they have on Pandora using his ninja wisdom.
Gaara would be an obvious choice. Since Gaara is from Suna, he could be Naruto's close friend. They could train together and share their experiences of being jinchuriki. Kankuro and Temari might also become his friends. Kankuro could teach Naruto some of his puppet techniques, and Temari could help Naruto with wind - style jutsu training.
Sasuke could be one of his companions. Even though they've had their differences, they always end up coming together for big challenges. Sasuke's sharingan would be useful on the moon, helping them detect any hidden threats. Another could be Kakashi. His experience and knowledge would be invaluable in a new and strange environment like the moon. He could also teach Naruto and Sasuke new techniques based on the moon's conditions.
Obviously, the foxes would be the main characters. There could be an old, wise fox that acts as Naruto's mentor among them. It could have a name like Kyo, and it would be the one to teach Naruto the most important lessons.
Well, in a 'naruto lives in suna' fanfiction, perhaps Naruto is exiled from Konoha for some reason. He then finds a new home in Suna. He starts training with the Sand ninjas and discovers new aspects of his chakra control. He also gets involved in the internal politics of Suna, trying to bring peace between different factions within the village.
One possible plot could be Naruto having to deal with the various personalities in the brothel. He might learn about the hardships of the people working there and try to bring positive change. For example, he could use his ninja skills to protect them from unruly customers or help them find better ways to earn a living.
In this kind of fanfiction, Naruto might learn a lot more about stealth and patience from Kakashi. Maybe Kakashi would train Naruto in some unique ways that are different from what he learned from other teachers. For example, Kakashi could share his special techniques for using chakra more efficiently with Naruto.
Well, one possibility could be that Naruto has to adapt to the different culture in Kumo. He might face challenges in making new friends as the people there have different values and ways of life compared to Konoha. He could also discover new jutsus unique to Kumo and incorporate them into his own fighting style.
Well, perhaps Naruto is sent to a dimension where Eevees are the main inhabitants. He has to adapt to living with them. He could form strong bonds with individual Eevees, like an Eevee that's really brave and they go on adventures together, exploring the new land and facing challenges that are unique to this world of Eevees.