Mizuan

Mizuan is the non-binary ship between Mizuki Akiyama and An Shiraishi from the Project SEKAI fandom.

Canon
An is a member of the group VIVID BAD SQUAD while Mizuki is a member of the group 25ji, Night Code de. They both attend Kamiyama High School and are in Class 1-A. While never formally being in any events together, they have interactions in KAMIKOU FESTIVAL! as well as a number of card stories.

While it's unclear exactly how they met, the first time they interact in the timeline is in An's initial 1* card story Charismatic Girl, which takes place before any of the band and event stories moving forward. In this card story, Mizuki decides to attend school and notices An has a fear of ghosts. They prank her using this knowledge, and An feigns exasperation in response. Already there's an image of how the two interact each other at the shallowest level, Mizuki as a bit of a trickster who skips school and An as the responsible disciplinary committee member, playing straight man to their antics.

In Mizuki's initial 3*, Uncompromising Obsession, they head to the rooftop during lunch, hoping to recharge. They find An there, practicing her singing. After a bit of back and forth about how An started singing, Mizuki manages to get An to give them some tips on how to sing better. They're stunned when she sings for them, noting how good she is at it. An points out that Mizuki must really like singing as well, then offers that at a later time they should sing for her, to which Mizuki agrees. As the bell rings, Mizuki makes a last-ditch attempt to skip the rest of the school day, which An immediately sees through, dragging them to class. Although it's not known at the time, since KAMIKOU FESTIVAL! comes later, Mizuki actually has a habit of escaping to the rooftop whenever they feel aimless or distanced. That's why it's so interesting that they find An up at the place that's known to embody those lonely feelings of theirs. When they approach her, they're both metaphorically and physically closing the distance between them. It may even clue into An having some lonely feelings of her own, which is alluded to in the Someday, with our Back-to-Back Lyrics event.

Their relationship is then expanded upon in KAMIKOU FESTIVAL! Despite not having a prominent role, An shows up in the first and last chapters. She's the one who calls Mizuki to the festival in the first place. They later thank her and admit they wouldn't have thought to go if it weren't for her. An doesn't say it outright, but she notices the reason why Mizuki didn't want to attend (they wanted to avoid rumors about their appearance). By telling them "it'd be hard for [them] to be the center of attention unless [they] wore something even flashier [than the 2nd years in costume]," she subtly assuages their worries while trying not to push her boundaries. Later in the event the two are separated due to a fear on Mizuki's part of bothering Kohane, which An notices and points out. It's at the end of the event that An finds them on the rooftop again, revealing she'd been looking for them the whole time, and felt guilty enough about it to invite them to the closing ceremony.

In both KAMIKOU FESTIVAL! and Mizuki's 1st card story for Friendship Found on the Rooftop, they state that An must have invited them to the cultural festival as a friend rather than a disciplinary committee member, contrary to what they first believed. In their 1st card story for Friendship Found on the Rooftop, they consider that, then decide to tell An more about themself and their past. It's still small talk, but An is noticeably happy about it. When Mizuki asks why, she tells them, "you just told me quite a lot about yourself, didn’t you? You often talk about like, gossip, fashion and stuff, but something like this right now rarely ever happens." Now there's a clearer image of the relationship between the two: An as someone subtly trying to reach out to Mizuki, who has a habit of isolation, and Mizuki recognizing that, appreciating it, and beginning to open up in turn.

In the Feelings I've Come to Realize first card story, Mizuki's thinking about a fun place to take the other members of their music circle. They decide to show up at school, something An's pleasantly surprised by, and run their plans by her. There is a moment where, noticing people are gossiping about Mizuki nearby, An scares them off by glaring at them, before quickly changing the subject. Mizuki has a few laughs about An's horrified reaction to their chosen vacation spot - a haunted places tour - before offering to get a drink for her in thanks. They use this as an opportunity to leave school, but Akito and An eventually trap them there. An expresses that she's worried about Mizuki's attendance and that she wants to continue being in the same class as them. This gets Mizuki to agree to start attending school regularly, which is a big contrast from their stance at the beginning of the timeline.

Fanon
Due to their lack of interactions outside of card stories, Mizuan is a rarepair. The most popular pairings for the two are Akian/Anhane and Mizuena, though Mizurui is the most popular Kamiyama pairing for Mizuki.

Trivia

 * Mizuki is the first character to notice An's fear of ghosts in the game.