There's a fanfiction titled 'Saving the Girl from the Darkness'. In it, Naruto discovers a girl who has been trapped in a genjutsu for years. His own experience with loneliness and his strong will allow him to break through the genjutsu and save her. The story delves deep into Naruto's character, showing how his past traumas have made him more empathetic and determined to help those in need.
It could be an unknown girl from a random village that Naruto just happens to pass by and save from a natural disaster, like a flood or a landslide. Naruto's quick reflexes and strength would allow him to rescue her.
Another plot is where the girl is in some sort of self - imposed danger, like she's lost in a dangerous area or has made a deal with a bad guy. Naruto then has to use his wits and strength to not only save her physically but also get her out of the bad situation she got herself into. In some fanfictions, this also leads to the girl having a change of heart and becoming a better person thanks to Naruto's influence. This plot is interesting as it shows Naruto as a positive influence on others.
One key moment could be when Naruto jumps in front of a fatal attack aimed at Konan. His quick reflexes are crucial here. He takes the hit or deflects it using his own skills, like his shadow clone technique to create a distraction and then save Konan.
Well, in a fanfiction scenario where Naruto saves Sakumo, it could be that Naruto has mastered some new jutsu that allows him to enter into Sakumo's mind. Sakumo was in a very dark place after being shamed by the village. Naruto could use this jutsu to show Sakumo that there is still hope and that his worth is not defined by the village's opinion. Then he could bring Sakumo back to a positive state of mind and save him from self - destruction.
Perhaps in this fanfiction, Sarutobi is trapped in a genjutsu created by a rogue ninja. Naruto, being highly resistant to genjutsu due to his Uzumaki blood, manages to break into the genjutsu world. There, he has to fight his own inner demons as well as the rogue ninja's illusions to free Sarutobi.
In a Naruto saves Asuma fanfiction, Naruto could use his new jutsu skills. Maybe he discovers a way to reverse the damage done to Asuma. It could be related to his Sage Mode powers, which he could use to heal Asuma's wounds.
Another scenario could be that the woman is a shinobi from a small clan, but she has been framed for a crime she didn't commit. Naruto, believing in her innocence, saves her from being captured by other shinobi. He then teams up with her to find the real culprit and clear her name. Along the way, they face many challenges together and Naruto's positive attitude helps the woman regain her confidence.
One possible storyline could be that Naruto, with his ability to teleport and his powerful ninjutsu, senses Mikasa in danger in the Attack on Titan world. He quickly arrives, uses his Rasengan to defeat the Titans surrounding her. Then he takes her to safety and they form an unlikely friendship, with Naruto sharing his experiences of fighting for his village and Mikasa being amazed at his powers.
In a fanfiction scenario, Naruto could save Anakin by using his talk - no - jutsu. Naruto is known for his ability to reach people's hearts with his words. He might be able to convince Anakin to turn away from the dark side before it's too late, much like how he's convinced other antagonists in his own universe.