Well, a 'this time around naruto fanfic' could be centered around the idea of Naruto getting a second chance at something. Maybe he goes back in time and tries to change certain events in the Naruto universe. It could also be about a different take on his training, where he discovers new jutsu or trains with different people. Another aspect could be exploring his relationships in a whole new light, such as his friendship with Sasuke taking a different turn or his relationship with his parents being more involved if they were somehow brought back.
I'm not sure specifically as there could be many different 'this time around' Naruto fanfics. Generally, it might be about Naruto in a new or different situation compared to the original story, like a new adventure, different relationships, or altered power developments.
Chapter 469, "He Must Not Tolerate This Calamity", is the clearest early answer because it turns Children Palace's situation into a concrete plot event. A useful checkpoint is the way the scene starts with There was no other choice, so Jiang Li and the others hastily turned...
Chapter 313, "Grandpa, You Scared My Guest", is the clearest early answer because it turns Jiang Ye's situation into a concrete plot event. The chapter gives readers a real answer by opening on When he was brought in, Zhou Wenshu was still in a fog.
Chapter 469, "He Must Not Tolerate This Calamity", is the clearest early answer because it turns Yu Li's situation into a concrete plot event. The chapter turns that into something concrete by moving from There was no other choice, so Jiang Li and the others hastily turned...
Chapter 548, "A Guy Named Gu Yu", is the clearest early answer because it turns Chengcheng's situation into a concrete plot event. A useful checkpoint is the way the scene starts with No, we can't," Su Yinwan blurted out subconsciously.
Chapter 733, "Those People from the Jiang Family Are More Stupid than the Next!", is the clearest early answer because it turns More Stupid's situation into a concrete plot event. The setup is Okay, Sister, you should go to sleep now., but the pressure keeps building through Don't stay up late;
Chapter 286, "I Won't Let Anything Happen to Either of Us", is the clearest early answer because it turns Primordial Forest's situation into a concrete plot event. It opens with Throughout these reincarnations, Zhao Lang had gradually discerned a...
Chapter 475, "Doting on the Man You Love to the Fullest", is the clearest early answer because it turns Hua University's situation into a concrete plot event. The chapter turns that into something concrete by moving from On the other side, Jiang Yan and Shang Shuyue also set off.
Chapter 643, "Jiang Li Dominates the Trending Searches!", is the clearest early answer because it turns All's situation into a concrete plot event. It opens with Qi Tianyu joyously carried his construction to the side to wait for...
Chapter 434, "The Identity of the Feng Shui Master Can't Be Hidden Anymore", is the clearest early answer because the hidden truth stops feeling like mere subtext. Early on, He thought Jiang Li was just talking, but to his surprise, there....
Chapter 659, "Bodyguard Agreement", is the clearest early answer because a shaky connection becomes usable in the plot. A useful checkpoint is the way the scene starts with Besides, how easy is it to get into the Gu Family? and follows through with He only hated himself, his own incapacity..