Maybe Zuko has his own goals that don't involve chasing Aang. He could be more focused on redeeming himself in other ways, like helping the Fire Nation people or learning about different cultures without the need to pursue Aang.
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.
One common theme is friendship. Since they start off as enemies, many fanfictions focus on how they build a strong bond of friendship. Another is redemption. Zuko's journey of redemption is often explored further in relation to Aang.
I'm not sure specifically as there could be many different stories within that fanfiction. It might be about Zuko and Aang's relationship, perhaps in an alternate universe or a situation not shown in the original series. It could explore their friendship, their adventures together, or even some creative scenarios that fans have come up with.
In a fanfiction, the Avatar State of Aang could be used in a more creative way. For example, Aang accidentally enters the Avatar State during a cultural festival. His friends are initially worried, but then they realize that in this state, Aang can communicate with the spirits present at the festival in a unique way. He learns secrets about the spirits and their connection to the human world, which he then uses to strengthen the bond between the two realms when he's out of the Avatar State.
Maybe a plot where Mai is kidnapped by enemies of the Fire Nation who want to use her to get to Zuko. Zuko then embarks on a dangerous rescue mission. Along the way, he realizes just how much Mai means to him. Or a story where Zuko and Mai are forced into an arranged marriage by Fire Nation politics. At first, they resist, but as they spend more time together, they start to develop real feelings for each other that go beyond the political arrangement.
Sure! 'The Fire Prince and the Air Nomad' is a great aang and zuko fanfiction. It delves into their complex relationship and how they learn to understand each other better. It has some really interesting character development.
Well, kind of. In the series, Zuko and Katara have a complex relationship. At first, Katara hates Zuko because of his actions as an enemy of the Avatar and her people. However, as Zuko changes and joins the Avatar's group, they start to bond. There are moments where their relationship seems to be more than just friendship, like when they share some emotional and intense scenes together. But it's not a straightforward love story. It's more like a relationship that has the potential to turn into love, but it's left somewhat open - ended.
Another fanfiction could explore the challenges they face during Katara's pregnancy. Since Aang is the Avatar, he has many responsibilities. There could be a conflict where he has to leave for an important mission, but he doesn't want to leave Katara alone. Katara, being strong - willed, tells him to go and fulfill his duties. In his absence, she discovers new water - bending techniques related to pregnancy and childbirth, which she plans to teach other women in their community later.