It could be that Might Guy is under some sort of mind - control. So, without his normal self - control, he attacks Tenten, making it necessary for Naruto to save her.
Another element is the guy's motivation. It could be his sense of justice, his kind heart or even a growing attraction towards the ts girl. For example, he might see her in trouble and feel an instant urge to protect her. In some stories, the guy has been through similar situations before and doesn't want the ts girl to suffer as he did. And also, there is often a moment of connection between them after the saving. It could be a look, a shared smile or a simple conversation that starts a deeper relationship.
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.
Perhaps Anko is trapped in a genjutsu and Naruto uses his own experience with breaking free from illusions to save her. He could sense her distress and use his chakra to disrupt the genjutsu, freeing Anko. This would show Naruto's growth and his ability to help those in need, even a more experienced ninja like Anko.
The most exciting part could be when Naruto uses his new and powerful jutsu that he has just mastered to save Tsume at the very last moment. It would be a display of his growth as a ninja.
In a Naruto Saves Pyrrha fanfiction, it could be an interesting crossover. Naruto, with his powerful ninja skills, might save Pyrrha from a variety of threats. Maybe she's in a battle in her own world and Naruto's teleportation jutsu allows him to appear just in time. It could also be that Pyrrha is facing some sort of internal struggle, like self - doubt, and Naruto's indomitable spirit inspires her to overcome it.
Well, Naruto saving Shisui in a fanfiction could be really interesting. Naruto is known for his never - give - up attitude. If Shisui is in some sort of genjutsu - related trouble, Naruto could use his own strong will, which he has shown against powerful genjutsu like Itachi's Tsukuyomi, to break Shisui free. And his Sage Mode would give him an extra edge in combat if there are opponents to fight off while rescuing Shisui.
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.