Sure. 'Lily's Surprise Meeting with the Potters' is quite good. It's a short and sweet fanfiction that focuses on the initial shock and excitement when Lily meets the Potters.
One of the great ones is 'Lily's Encounter with the Potters'. It beautifully depicts Lily's first meeting with the Potters in a way that feels very true to the original Potterverse. The author really captures the essence of the characters and the time period.
One possible scenario in a 'Hermione meets Lily' fanfiction could be that Hermione uses a time - turning device and accidentally ends up in the past where she meets Lily. Maybe they bond over their intelligence and love for books. Hermione could be in awe of Lily's kindness and bravery, and Lily might be intrigued by Hermione's knowledge of magic from the future.
You can try looking on fanfiction websites like Archive of Our Own (AO3). It has a large collection of fanfictions, and you can search for 'Harry meets other Potters' specifically. There are also tags and filters you can use to narrow down your search to the exact type of story you're interested in.
Well, it could be a story where Harry stumbles upon the second branch of the Potters. Maybe it's a long - lost part of the family that has some unique magical abilities or secrets. Since it's a fanfic, the author might take creative liberties and introduce some interesting plot twists, like the second branch being involved in a hidden magical society or having a connection to an ancient prophecy that Harry then gets drawn into.
There's a 'Harry meets other Potters' fanfic where they meet in a time - traveling scenario. Harry from different points in time comes together. It's really cool as they compare their different experiences at Hogwarts, like how magic was taught differently in their respective times, and they also exchange spells and magical knowledge.
A great fanfiction in this regard is 'When Potters Meet'. Here, James and Lily are brought back to life briefly and they cross paths with Ginny. The story focuses on Ginny's reaction to meeting the parents of the man she loves. It shows her respect and admiration for them, and there are some really sweet moments where they exchange memories and advice about Harry.
Well, they might first be a bit confused when they meet. Hermione, being from a different time, would have different ways of doing magic and speaking. But soon, they could find common ground. Maybe they start by comparing their experiences at Hogwarts. Hermione could tell Lily about the new spells she has learned, and Lily could share some of the old, forgotten magic with Hermione.
One common theme is redemption. Lily might be seen as redeeming herself for leaving Harry so early in his life. Another theme is the power of love. Their meeting often showcases the strong bond of love between a mother and son. And the theme of second chances also pops up a lot, as if the meeting is a second chance for both of them to have a relationship.
Perhaps in a fanfiction, Clementine and Lily meet in a school setting that's not like a normal school. It could be a school for training people with special abilities. Clementine is new and Lily is one of the more experienced students. At first, Lily is a bit of a bully to Clementine because she's new and seems to be getting a lot of attention. But then they are paired up for a project and through that, they discover that they have a lot in common. They end up becoming friends and standing up for each other against the real bullies in the school.