Aang and Katara:
* They marry and have three children: Bumi, Kya, and Tenzin.
* Aang becomes the Avatar and continues to guide the world.
* Katara becomes a healer and teacher, passing on her waterbending skills to her children.
Sokka and Suki:
* They become a couple and continue to fight for peace and justice.
* Sokka becomes a respected leader and strategist in the Southern Water Tribe.
* Suki continues to lead the Kyoshi Warriors and becomes a powerful figure in the world.
Toph Beifong:
* She becomes a renowned Earthbending master and teaches generations of students.
* She founds the Metalbending Academy and revolutionizes the world of Earthbending.
* She becomes a close friend to Aang and Katara, and a supportive mentor to their children.
Zuko:
* He becomes the Fire Lord and works hard to redeem the Fire Nation.
* He reforms the Fire Nation's military and works towards peaceful relations with other nations.
* He becomes a close friend to Aang and a respected leader in the world.
The rest of the gang:
* Appa and Momo live long lives, enjoying their freedom and the love of their friends.
* Iroh continues to teach and share his wisdom with the world.
* The Gaang remains close and works together to maintain peace and justice.
While the series doesn't directly depict the characters' lives after the finale, the ending suggests that they continue to live happy and fulfilling lives, building a better world for future generations.
The Legend of Korra expands upon the fates of some of these characters, offering further insight into their lives in the decades after the events of Avatar: The Last Airbender.