There are likely to be some out there. However, the quality can vary greatly. Some fanfics might focus on their friendship, while others could explore more creative or alternate universe scenarios between Korra and Katara. It's a matter of exploring different platforms and reading reviews if available to find the good ones.
The Legend of Korra comics are definitely worth a read. They capture the essence of the franchise and bring fresh perspectives. The quality of the storytelling and the visuals make them a great addition to the series.
The 'lemon' aspect might be a bit hard to come by in a clean way as it often involves inappropriate content. But for normal Korra and Mako fanfictions, you could also try FanFiction.net. Some stories there might show their relationship developing, their adventures together, and how they support each other, which can be really interesting to read.
Well, often you'll see a deepening of their relationship. It might start as a mentor - mentee kind of thing, with Katara sharing her wisdom with Korra. Or it could be a story where they discover a long - lost connection between their families and have to work together to uncover the truth. Fanfics can really take the characters in all sorts of directions.
Yes, fanfiction about Aang, Katara, and Korra can be very appropriate and enjoyable without any nude content. There are many ways to explore their relationships, adventures, and character development in a positive and family - friendly way. For example, focusing on their teamwork in saving the world, or their growth as individuals within the Avatar universe.