Do you see any parallels between Zuko and Katara and Mr. Darcy and Elizabeth? I think there are a few, especially with personalities
The biggest parallels that the Avatar characters have are the flaws in the very title of the book: Pride and Prejudice.
Iroh: Zuko, you must let go of your feelings of shame if you want your anger to go away.
Zuko: But I don’t feel any shame at all! I’m as proud as ever!
Iroh: Prince Zuko, pride is not the opposite of shame, but its source. True humility is the only antidote to shame.
Zuko, like Darcy, is socially awkward and hung up on his supposed superiority of birth. He has to learn to look back his upbringing and follow his honorable principles with humility and grace. However, while they are both determined people, Zuko is driven and aggressively pursues his goals in a way that Darcy is not, while Darcy, despite his pride, has better judgment and forward thinking than Zuko, especially initially.
Katara: You’re a terrible person, you know that? Always following us, hunting the Avatar, trying to capture the world’s last hope for peace! But what do you care? You’re the Fire Lord’s son. Spreading war and violence and hatred is in your blood.
Zuko: You don’t know what you’re talking about.
Katara: I don’t?! How dare you! You have no idea what this war has put me through. Me personally. The Fire Nation took my mother away from me.
Zuko: I’m sorry. That’s something we have in common.
Katara, based on her prior experience, thinks that all firebenders are evil and that Zuko, being the Firelord’s son, must be genetically predisposed to it. Her ability to learn from this mistake is tested when Zuko betrays her, but in the end, she overcomes her prejudices to befriend, trust, and fight alongside Zuko. However, while Katara and Elizabeth Bennet are both masters of snark, Elizabeth is better at hiding her feelings and soothing people’s potentially ruffled feathers, to the point that poor Darcy has no idea she doesn’t like him.
That … didn’t really happen with Zuko.