I would recommend 'The Unlikely Bond' which beautifully portrays the growth of Akko and Diana's relationship. It starts with them as rivals in school and gradually shows how they come to understand and care for each other.
One great 'Little Witch Academia' fanfiction is 'A New Adventure at Luna Nova'. It continues the story of Akko and her friends with new magical challenges. The characters are well - written and it stays true to the spirit of the original series.
It mainly follows the adventures of Akko, a young girl with big dreams of becoming a great witch. She enters Luna Nova Magical Academy. There, she faces various challenges like difficult magic classes and making friends. Akko is constantly inspired by Shiny Chariot, a famous witch from the past, and tries to find her own way in the world of magic.
A 'little witch academia met by moonlight fanfiction' could be about a lot of things. It might center around a particular character's journey during a moonlit night. For example, Akko could be on a quest for a rare magical item that can only be found under the moonlight. Or it could be a romantic encounter between two characters, with the moonlight adding a touch of magic and romance to the story.
Akko is the main character. She is a determined girl who wants to be a great witch. There's also Lotte, who is Akko's friend. Sucy is another important character, known for her somewhat spooky and unique magic. And then there's Professor Ursula, who has her own secrets and plays an important role in guiding the students.
One idea could be Naruto is transported to the world of Little Witch Academia. He could attend the academy, but with his ninja skills, he'd be a very different kind of student. Maybe he'd try to use chakra instead of magic at first and create some interesting chaos.