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.
Definitely 'Overlord'. It has a really interesting concept where a player in a virtual world gets sent to the world of the game. The main character, Momonga, is a powerful sorcerer, and the story shows how he uses his skills and knowledge to rule over the world. It's very popular for its world - building.
One great 'sent to another world' novel is 'Re:Zero - Starting Life in Another World'. It has a unique plot where the main character, Subaru, keeps dying and restarting in a different world, which makes for a really engaging read.
Power - up or growth is also a big theme. They start from being relatively weak or normal in their own world and then gain new abilities and knowledge in the other world. For example, in many such novels, the protagonist learns magic or combat skills they never had before. This growth is usually tied to their adventures and challenges in the new world.
In Naruto sent to another world fanfiction, a plot twist could be that the new world's technology or magic nullifies Naruto's normal powers, forcing him to adapt and develop new skills. This could lead to him having to rely on his wits more than his strength. Another twist is that he gets involved in a political struggle in the new world that is eerily similar to the ninja village politics he left behind. And sometimes, he might be the key to a mystery in the new world that has been unsolved for centuries, which changes his role from an outsider to a central figure.
One interesting plot could be Percy finding himself in a world where the Greek gods have different forms or powers. For example, Zeus could be a benevolent king instead of the often angry god we know. Percy would have to navigate this new world, figure out how to use his own powers in relation to these changed deities, and perhaps find a way back home. Another plot could involve Percy being sent to a world that is a blend of different mythologies, like Greek and Norse. He'd have to deal with new creatures and gods from both mythologies, which would be a real challenge.
The novel " The Gate to the Dimensional World " was more in line with the plot described in the question. The female protagonist was about to die in the modern world, and her brother used a secret technique to transmigrate to another world.
The novel I recommend is "The Extraordinary Records of Abraham". The protagonist of this book, Huang Xin, was summoned to a magical world created by a transmigrator and became someone else's elemental contract spirit. He had signed a contract with the Dark Elves, which could help him solve many problems and crises. I hope you like this fairy's recommendation. Muah ~😗
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.
One common plot twist is that Naruto discovers he has unique powers in the new world that are different from his chakra - based abilities in his own world. For example, he might find out he can control an element that doesn't exist in the Naruto universe. Another plot twist could be that Naruto meets alternate versions of his friends from his world, but they have different personalities or loyalties in this new world. Also, it's often a plot twist when Naruto uncovers a dark secret about the new world that is somehow connected to his own past or his world's history.