Naruto adapts by using his determination. He's used to facing challenges in his own world, so he applies the same mindset in the new world. He also tries to learn about the new culture and rules quickly. For example, if the new world has a different form of combat, he observes and practices.
Naruto adapts to the new world through a series of steps. Initially, his natural curiosity drives him to explore the new environment. He is not one to shy away from new things, so he actively seeks out knowledge about the new world. His experience in facing difficult situations in his own world gives him the confidence to face challenges in this new place. He may face some setbacks, like not being able to communicate effectively at first, but he perseveres. He also uses his ninjutsu in different ways, for example, if there are magical elements in the new world, he tries to combine his chakra - based techniques with them. Moreover, his ability to empathize with others, which he developed in his own world, helps him build relationships in the new world, which is crucial for his adaptation.
Obviously Naruto himself. There might also be some new characters that he meets in this other world. And depending on how the story goes, there could be versions of his friends from his own world, like Sasuke or Sakura, even if they are different in some way in this new world.
Well, it could be about Naruto finding himself in a strange new world where he has lost his friends and is mourning their absence. Maybe he's trying to find a way back to his own world while dealing with his grief.
In such a fanfiction, Naruto might use his ninja skills to quickly adapt in the new world. He could make new friends and enemies. His chakra abilities would be a great advantage, perhaps making him a sort of legend in that world.
Perhaps a group of elite warriors in the new world who are jealous of Naruto's unique abilities. They form an alliance to take him down because they fear he will disrupt their status quo and take over their positions of power.
One interesting concept could be alternate versions of the characters. For example, Naruto might have different jutsu or a different personality in the 'another world' setting. Another concept could be new storylines that deviate from the original Naruto plot, like different alliances or power structures in the ninja world. And sometimes, fanfictions in this genre explore different cultural or technological aspects that could exist in an alternate Naruto world.
Maybe there are noble knights in the new world who recognize Naruto's courage and strength. They could form an alliance with him, with Naruto teaching them some stealth and speed techniques from his ninja training, and in return, the knights could offer him protection and knowledge about the new world's politics and social structures. Another potential ally could be a group of outcasts or rebels in the new world. They might be fighting against an unjust regime, and Naruto, with his sense of justice, would naturally side with them. Together, they could plan strategies to overthrow the oppressors, using Naruto's unique skills and the rebels' knowledge of the local terrain and the weaknesses of the regime.
Well, he might use his ninja skills to become a hero in that world. He could teach the locals about chakra and how to fight like a shinobi. Maybe he'd make new friends and form a team to face the challenges there.
One idea could be Naruto arriving in a world full of magic, and he has to learn to combine his chakra skills with magic. For example, he might use his Rasengan with a magical spell to create a super - powerful attack.