Not counting Hieda no Akyu (who never appears in any game in the series) Chiyuri is thought to be the youngest character in any Touhou game whose actual age is known. If any other character was younger at the time they first appeared in a game, their real age has never been revealed.
Because of her close and receiving end of the relationship to Yumemi Okazaki and possibly her blond hair she is depicted as Sunohara from Clannad.
Due to most of the endings of Phantasmagoria of Dim.Dream in which she strikes Yumemi with a folding chair, Chiyuri is often depicted with them in fan works.
Chiyuri is shown to be a spreader of false information in fan works because of what happened in Phantasmagoria of Dim.Dream. She also has been shown with Sagume Kishin in fan works for obvious reasons.
She is sometimes depicted with Keine Kamishirasawa because both have long, similar-sounding last names.
It's commonly joked that Marisa Kirisame stole Chiyuri's way of speaking, because of how Marisa talks in the Windows games.