Often, you'll find themes of family. Lily was Harry's mother, so fanfictions might explore how her memory and her magic still influence Harry. Luna, with her own unique family situation, could be contrasted or compared. And if 'Lemon' is a character, they might be a new addition to the 'family' of friends. Also, there could be themes of discovery, like finding new spells or secrets that Lily might have known and passed on to Harry through some magical means, with Luna and Lemon being part of the discovery process.
Themes of magic and its different interpretations are common. Luna has a very different view of magic compared to the norm, and Harry has his own experiences. Fanfictions might explore how they combine their views, and how Lily's magic (even in the past) could be related. 'Lemon' could be a magical entity that challenges their understanding of magic. Another theme could be redemption or growth. Harry has gone through a lot of growth in the main series, and fanfictions could continue that with Luna and Lily (through memories) as catalysts, and 'Lemon' could be someone or something that helps in that growth journey.
Friendship is likely to be a theme. Harry has his own circle of friends, and Luna is known for her unique friendship qualities. In a fanfic with Lily involved, it could be about how these three form or influence friendships. They might come together to face challenges in Hogwarts or the wizarding world, and their friendship could be a key element in overcoming those difficulties.
Yes, there are quite a few. You can check fanfiction websites like Archive of Our Own. There, you might find stories that explore interesting relationships between Harry, Lily (even though she passed away in the main series but can be featured in alternate timelines or memories), Luna with her unique charm, and perhaps a character named Lemon (if it's an original character in some fanfictions).
A lot of 'Lily Luna Potter born' fanfictions have the theme of friendship. Lily has to make her own friends at Hogwarts, and these stories show how she navigates different personalities and builds lasting relationships. Magic discovery is also a theme. She might find new spells or magical artifacts that are unique to her story.
One common theme is family legacy. Since she's part of the Potter family, many fanfictions explore how she lives up to the great name and the expectations that come with it. For example, she might be under pressure to be as brave as Harry or as intelligent as Hermione in some stories.
The theme of mentorship also comes up frequently. Sirius Black, with his wealth of knowledge and experience, is often depicted as a mentor figure to Lily Luna Potter. This can involve teaching her about magic, helping her deal with the challenges of being a Potter in the wizarding world, or guiding her through moral and ethical dilemmas.
One common theme is the exploration of their unique connection. Given their different personalities, fanfictions often focus on how they complement each other.
One common theme is mentorship. Harry, with all his experiences, often takes on a mentoring role to Lily Luna. Another theme could be the exploration of family legacy. Since Harry is so closely tied to Lily Luna's family, it delves into how their relationship affects and is affected by that family connection.
One common theme is family legacy. Since she is a Potter, many fanfics explore how she deals with the expectations and the great name she has. Another theme is friendship. Just like in the original series, her relationships with other characters are often a big part of the story.
A common theme is family legacy. Since Lily Luna is Harry Potter's daughter, many fanfictions explore how she lives up to or rebels against the Potter family name. For example, she might struggle with the high expectations that come with being a Potter.
Often, the theme of heritage comes up. Harry's connection to Lily and how that relates to certain events, and the lemon might be used as a symbol related to that heritage. Also, friendship or loyalty can be themes, as they all interact in different ways within the fanfiction.