In a fanfiction scenario, Naruto might get revenge on Sasuke for leaving the village. Naruto could start by proving himself to be a far greater ninja than Sasuke. He might travel the world, gathering allies and knowledge. When he confronts Sasuke, he uses his experiences and the power of friendship to overpower Sasuke. He then forces Sasuke to return to Konoha and atone for his actions, which is his form of revenge in a way that also redeems Sasuke.
One possible story could be that Naruto discovers Sasuke has joined a dark organization that is planning to destroy Konoha. Naruto, filled with a sense of betrayal and duty, decides to take revenge. He trains harder than ever, mastering new jutsu. When they finally face off, Naruto uses his newfound power to defeat Sasuke without killing him, instead making him see the error of his ways.
Well, in a Naruto gets revenge on Sasuke fanfiction, Naruto could find out that Sasuke was responsible for the death of one of his closest friends (even if it was by accident). Naruto's anger would be uncontrollable. He would set out on a journey to find Sasuke. Along the way, he meets an old sage who teaches him a powerful and ancient jutsu. When Naruto finally finds Sasuke, he uses this jutsu to immobilize Sasuke. Naruto then tells Sasuke how much pain he has caused and that he will be taking away Sasuke's ninja abilities as revenge. But at the last moment, Naruto decides against it, realizing that revenge won't bring his friend back and that there is still a chance to save Sasuke from his dark path.