A more complex idea would be to have a fanfiction set in a post - war scenario in both worlds. Naruto has finally achieved peace in his world, and Toriko has explored most of his world's ingredients. They meet through some sort of interdimensional rift. Together, they start a new journey to explore other dimensions in search of new things, be it new forms of power or unique ingredients.
The first implication would be a change in Naruto's powers. Toriko's world is centered around food and the unique abilities related to it. Naruto might inherit some of these food - based powers, like being able to enhance his strength by consuming certain rare foods. This would be a huge departure from his normal chakra - based abilities in the Naruto universe.
Definitely Naruto and Toriko themselves. They are the main characters of their respective series, so having them interact is a must in most fanfictions.
Yes. In some fanfics, the authors like to give Naruto this kind of power - up to make the crossovers or new storylines more interesting. They might blend the unique abilities from Toriko's world, like extreme physical strength and unique food - related powers, into Naruto's character, which results in him having Toriko - level strength.
Maybe there's a food competition in the crossover. The chefs in the Naruto world, like Ayame from Ichiraku's, compete against Komatsu. Naruto and his ninja friends have to protect the competition from villains who want to steal the secret recipes. Meanwhile, Toriko is there to judge the food using his unique skills.
It could be Naruto in his Sage of Six Paths mode. He has incredible power, with the ability to fly, use various powerful jutsus, and his chakra is off the charts. In a fight against the characters from Toriko, his speed and strength would be very difficult to match.
In this fanfiction idea, it might be that a powerful being from a higher dimension decides to mess with the fates of these two universes. They could manipulate the timelines and genetics in such a way that Naruto is born as Toriko's son. This would completely change Naruto's backstory and his relationship with the Hidden Leaf Village. He might grow up with a whole new set of values and powers influenced by Toriko's world, like having a stronger focus on food - based powers or a different view on combat.
If Naruto were trained by Toriko in a fanfic, it would be an interesting blend of two different worlds. Toriko's training might introduce Naruto to a whole new concept of the 'food chain' in terms of power. Naruto could learn how to incorporate the energy from different foods into his jutsu. Moreover, the cultural differences between the ninja world and Toriko's world would create some really fun and unique interactions. Naruto might be shocked at first by Toriko's appetite but then learn to respect and utilize the power that comes with it for his own growth as a ninja.
The implications are numerous. For starters, Naruto's fighting style would likely change. With Toriko - level strength, he might rely less on ninjutsu and more on brute force and physical abilities. This would also attract the attention of different power - hungry entities from both the Naruto universe and potentially from other universes if it's a crossover fanfic. Moreover, the power balance within the Naruto world would be completely disrupted, leading to a series of political and social changes as different groups try to either control or befriend Naruto.