One idea could be Naruto arriving in a dimension where chakra doesn't exist and he has to learn new powers. Another could be him meeting alternate versions of his friends in different dimensions, like a super - evil Sasuke in one dimension. Maybe he also discovers a dimension where the Akatsuki are the good guys and he has to figure out how to work with them.
One possible main antagonist could be a powerful being that controls the different dimensions and sees Naruto's hopping as a threat to his order. Another could be an evil version of Naruto from another dimension who wants to stop our Naruto from spreading his 'good' influence. Maybe a group of rogue dimension - travelers who are causing chaos in different dimensions and Naruto has to stop them.
One idea could be that Naruto finds himself in a universe where the Akatsuki are the heroes. He has to figure out how to co - exist or even join them to get back to his own universe. Another plot could be Naruto entering a universe where everyone has a different elemental chakra, like some have sound - based chakra instead of the usual five. A third idea is that he hops into a universe where the shinobi world is a utopia, but there are hidden secrets that are threatening to destroy this perfect world and he has to help.
Change is also a big theme. Naruto sees how different choices or events in different dimensions have led to vastly different outcomes. In some fanfictions, he might visit a dimension where Konoha was destroyed long ago, and he tries to figure out what went wrong and if he can change things. These themes all add depth and variety to the 'naruto dimension hopping fanfiction' genre.
Well, first, the dimension - hopping aspect. It allows for exploration of different worlds and cultures, which is always exciting. Second, Naruto being a god. His new - found powers can lead to all sorts of epic battles and challenges. And finally, it's a chance to see Naruto in a completely different light, which can be very appealing to fans.
One idea could be Naruto getting trapped in a dimension where chakra doesn't exist, and he has to learn new forms of power. Another could be a dimension where the Akatsuki are the heroes, and Naruto has to figure out how to co - exist or change that world. Or perhaps a dimension where all the dead characters are alive again, but in different roles, like Itachi as a rogue ninja fighting against Konoha.
One idea could be Naruto being transported to a dimension where chakra doesn't exist, but he discovers a new form of energy and has to learn to use it from scratch. This would force him to adapt his fighting style completely.
One idea could be Naruto traveling to a dimension where all the villains have become heroes. He has to adapt to this new world order and figure out how to get back to his own dimension.
One interesting plot could be Naruto traveling to a dimension where the Akatsuki are the heroes. It would be a complete role - reversal, and Naruto would have to figure out how to interact with them. Another could be a dimension where everyone has a different type of chakra, like water - based chakra for all shinobi, and Naruto has to adapt his skills.
Well, in some 'Dimension Hopping' Harry Potter fanfics, a character might hop to a dimension where the houses in Hogwarts have different characteristics. For example, Gryffindor could be known for its cunning rather than its bravery. Also, there could be a dimension where the wizarding world is merged with the Muggle world in a strange way, like magic is used openly in Muggle cities.
One popular 'naruto dimension hopping fanfiction' is 'Naruto: Multiverse Traveler'. It has an interesting plot where Naruto gets to jump between different dimensions and encounter various versions of himself and other characters.