One common theme could be the clash of cultures. Naruto's ninja culture and the Pokemon trainer culture are very different. So exploring how characters adapt to this new culture they're exposed to is a theme.
A frequent theme in 'naruto banished pokemon crossover fanfiction' is the exploration of new abilities. Naruto has his ninja techniques, and Pokemon have their unique powers. When combined in a crossover, there could be a theme of how Naruto might learn to use Pokemon powers or how Pokemon might be influenced by Naruto's ninja chakra. The banishment aspect can also lead to themes of isolation and the search for a new place in the world. For instance, if Naruto is banished to the Pokemon world, he has to find his place among trainers, Gym leaders, and other Pokemon - related entities. This often involves him learning about the Pokemon world's rules and values, which can be a central theme in many such fanfictions.
Another theme is adaptation. He has to adapt to the new rules, cultures, and powers of the crossover world. For example, if it's a crossover with a magic - based world, Naruto has to learn how magic works and how to use it. This theme of adaptation makes for some interesting character development.
I'm not sure of specific 'naruto banished pokemon crossover fanfiction' titles off the top of my head. But you can try searching on fanfiction websites like FanFiction.net or Archive of Our Own. They usually have a wide variety of crossover fanfictions.
One of the themes that often pops up is the search for identity. Without the framework of Konoha, Naruto has to figure out who he really is. He might question his loyalties, his goals, and his values. Friendship is also a big theme. We might see how his true friends react to his banishment and if new friendships are formed on his journey.
One common theme is Naruto's struggle for acceptance. After being banished, he has to find a new place in the world where he can be himself and grow. Another theme could be revenge. He might seek revenge against those who banished him. And of course, power - building is a major theme. Naruto has to become powerful in his new situation, often in ways different from what he learned in the village.
In 'naruto banished fem kyuubi fanfiction', a frequent theme is the search for identity. The fem Kyuubi, being banished, may struggle with who she is and her place in the Naruto universe. Also, the theme of friendship or alliance often appears. For example, she might form an unexpected bond with Naruto or other characters. Additionally, the theme of overcoming prejudice is quite common. Because she is the Kyuubi, she may face discrimination from the villagers, and the fanfiction could be about her fighting against that prejudice.
In 'Naruto x Temari banished' fanfiction, the theme of exile itself is explored in depth. How do they cope with being outcasts? Do they resent their villages or try to find a way back? Also, the theme of cultural exchange can be present. If they travel to different regions, they might encounter new cultures and ways of life, which in turn affects their own beliefs and values. This can be really interesting as it shows how their characters can be molded by new experiences outside of their familiar shinobi world.
Kakashi would probably be very cautious. He would understand Naruto's reasons for banishing the Pokemon but would also be aware of the potential risks. He might try to counsel Naruto and make sure he has thought through all the implications. He could also be in charge of monitoring the situation to see if there are any unforeseen consequences.
One common theme is redemption. Naruto, being banished, often has to prove himself worthy again. And Sasuke, as a female, may play a role in his journey towards redemption. Another theme is love against all odds. Their relationship is usually complicated by Naruto's banishment, but they still find a way to be together.
Love and forbidden love are common themes. Since Itachi is from the Uchiha clan and Naruto (as a female in this context) is an outcast, their relationship goes against the norms of their world.
One common theme is friendship. In both Pokemon and Fairy Tail, friendship is a very important aspect. So in crossovers, characters from both universes often form new friendships or strengthen existing ones through their shared adventures. For example, a Pokemon trainer might become friends with a Fairy Tail mage while they are trying to solve a common problem.