One great 'Aang and Katara and Zuko' fanfiction is 'The Fire and Water Alliance'. It delves into how they work together to rebuild the world after the war. Their different abilities and personalities create interesting dynamics.
You can start by looking on Archive of Our Own (AO3). It has a large collection of fanfictions including many about Aang, Katara, and Zuko. Just search for their names in the search bar.
Another theme is redemption. Sometimes, the fanfics explore the idea of Azula's possible redemption. Aang, being the symbol of peace and balance, might be the catalyst for her change. Their interactions could lead to Azula re - evaluating her actions and beliefs. This theme adds depth to their relationship in the fanfics.
One popular 'zuko x katara x aang fanfic' is 'The Elemental Bond'. It explores their complex relationships in a post - war world. The author does a great job of showing how they interact and support each other. Another one is 'Triple Alliance' which delves into their adventures together, with some interesting character development for all three. And 'Harmony Among the Elements' is also good, as it focuses on how their different personalities and powers can work together in harmony.
You can try some popular fanfiction websites like Archive of Our Own (AO3). It has a large collection of fanfics, and you might be able to find some great 'azula vs aang' ones there. Just use the search function on the site.
In these fanfics, the relationships usually develop through shared experiences. Maybe they go on a quest together. During this quest, they have to camp out, share food, and protect each other from danger. Zuko might show his more vulnerable side to Katara and Aang, which helps them to forgive his past wrongs. Aang, with his positive and open - hearted nature, can also help Katara and Zuko to be more in tune with their spiritual sides. And Katara's nurturing nature can heal the emotional wounds between them, leading to a stronger and more complex relationship.
In some fanfictions, Aang's connection to his past lives plays a crucial role. He could draw on the wisdom and skills of previous Avatars. They might guide him on how to defeat Azula specifically. He could learn a new bending technique from one of his past lives that gives him an edge over Azula's firebending, like a unique way of using water to extinguish her most powerful fire blasts.
In non - lemon fanfiction, Aang is often portrayed as his kind - hearted self, trying to bring peace and balance. He might be shown using his airbending skills in creative ways to solve problems or face challenges. Azula, on the other hand, is usually depicted as a complex character. Her intelligence and powerful firebending are emphasized, and she may be in a journey of self - discovery, either trying to redeem herself or continue her pursuit of power in a more nuanced way.
Some fanfictions explore their role in rebuilding the world after the war. Zuko and Katara could be working together to restore balance between the nations. This kind of fanfiction often shows their leadership skills and how they complement each other.
There could be a fanfic about their alliance. Maybe in an alternate universe where they have to team up against a common enemy. They could start off as enemies but gradually learn to respect and rely on each other.