Another theme is the change in his combat style. Without emotions, Naruto may fight in a more calculated and cold - blooded way. In a crossover with the Attack on Titan world, this could mean he approaches the Titans without the fear or hesitation that normal soldiers might have.
One common theme is the exploration of how Naruto's lack of emotion affects his relationships. For example, in crossovers with other anime like Fairy Tail, his emotionless state might make it difficult for him to form the same kind of bonds as he does in the original Naruto series.
One common theme is isolation. When Naruto becomes emotionless and godlike, he often isolates himself from his friends and the village. He feels that his new powers and lack of emotions set him apart. Another theme is the search for purpose. Since he has changed so much, he has to figure out what to do with his new abilities, like whether to use them for good or just to survive in a cruel ninja world.
In cold emotionless Naruto fanfiction, a frequent theme is the change in Naruto's interaction with the ninja world. He may view it as a mere tool for his own ends. His training would lack the passion and determination that was driven by his emotions in the original story. Instead, it would be a cold, mechanical process. His view on the Akatsuki, for instance, would not be one of trying to understand their motives and redeem them but rather a cold, calculated approach to eliminating them as threats to his own goals.
Well, a common theme is the alteration of his magical abilities. Emotionless Harry may find that his spells work differently, perhaps more powerfully in some cases. Another theme is his isolation. Since emotions are a big part of human connection, Harry might find himself more alone. And there's also the theme of his identity. Is he still the same Harry without his emotions? This is often explored in such fanfictions.
Friendship is a very common theme. Since it's about Naruto and his friends in a crossover, it often shows how their bonds are strengthened or tested in the new situations. For example, they might have to rely on each other more than ever.
A common theme is the clash of cultures. Naruto's ninja culture from his world is very different from the military - and magic - based culture in 'The Gate'. So, exploring how these two cultures interact is often seen. For example, Naruto might introduce the concept of chakra to the people of 'The Gate' world.
Character growth is also a major theme. In a long 'Naruto' crossover fanfiction, Naruto usually has to face new challenges in the crossed - over world. This forces him to adapt and grow in ways he didn't in his original 'Naruto' world. For instance, in a crossover with the 'Fullmetal Alchemist' world, he has to learn about alchemy and its rules, which broadens his understanding and skills.
One common theme is power. The shinju is a powerful entity, and when crossed over with Naruto, it often involves the characters either seeking its power or having to deal with the consequences of its power. For example, in many fics, Naruto might be tempted by the shinju's power to achieve his goals more quickly.
A common theme is the clash and then the fusion of different power systems. Naruto's chakra - based ninja skills and the magic from the other universe, like spells in Harry Potter or magic in Fairy Tail, often start by being at odds but then find a way to work together.
A major theme in these fanfictions is identity struggle. Naruto, being in a chaotic crossover, may question who he is and how he fits into this new, disordered world. Also, the theme of friendship and alliances is quite common. He has to form new alliances with characters from the chaotic world, and these relationships are explored in depth. For instance, he might team up with a chaotic being who has different motives, and they have to work together despite their differences.
One common theme is redemption. Naruto, being banished, often has to prove himself all over again in the new crossovers, seeking redemption for whatever led to his banishment in the first place.