A more complex fanfic could involve a time - travel plot. A character from Naruto travels back in time to the era of Hajime no Ippo and has to use his ninja skills in the boxing - dominated world. He could use his chakra in unique ways during boxing matches, like enhancing his speed and strength in ways that seem like magic to the boxers there.
Another approach could be to have a character from Hajime no Ippo end up in the Naruto world. Maybe they start teaching boxing to the younger ninja in Konoha as a new form of self - defense. This could cause a stir among the traditional ninja who are used to their own combat styles.
One idea could be a crossover where Naruto characters learn boxing from the characters in Hajime no Ippo. For example, Naruto might be intrigued by the discipline and physical training involved in boxing and want to incorporate it into his ninja training. It could lead to some interesting sparring scenes between the two groups of characters.