Hello! I'm sorry for taking so long to reply to this! A lot of my headcanons for Shoko are shared with my best friend, PumpkinSolider/ KidGrayson, so if you are familiar with her work, these could be familiar to you, but I am throwing in a few new ones here too!

I tend to write Shoko as a panromantic-asexual (negative/ neutral/ positive vacillating depending on what I need from her in the fic). In No Powers, No Curses AUs, she usually owns or acquires during the fic a black sphynx cat named Tengen, who is a menace to society and Gojo is mad he cannot win over (when Tengen sleeps next to him on the couch, he genuinely starts crying). Gojo will usually own or acquire during the course of the fic a larger, fluffy colourpointed cat named Pancakes, and, if Gojo and Shoko live together, Pancakes and Tengen will become inseparable. In canonverse, I usually don't give her pets because she is already exhausted and I think having to care for a completely reliant other thing would break her, but she enjoyed helping Megumi play with his shikigami when he was younger and sometimes wishes he still summoned them as frequently as he used to. The unrelenting death wears on her. If she has a friend with pets, she makes up reasons to visit them and get pet cuddles. Yaga made her a cursed corpse with long-pile fabric and a heartbeat in hope that it could soothe her, but not being able to affect the corpse with RCT actually makes her anxiety worse.

In canon, her least favourite food is sweets. I like pretending that she doesn't actually hate them, she just doesn't see the point in eating sweets when Gojo could instead (because Gojo's least favourite food is alcohol, which is Shoko's stated favourite, so they balance each other out like that). I like pretending that she knows how to cook, and her schedule not allowing her to cook regularly depresses her. Part of me thinks she would also be into journaling - or at least hoarding stationery - and Gojo brings her journals as souvenirs because he is trying to get her back into that healthier outlet.

I also headcanon that Gojo and Shoko were at one point arranged to be married - powerful RCT user/ the strongest sorcerer of the modern era - but Gojo forced his family to break the arrangement because clan life would suffocate Shoko, and he loves her too much to let his family ruin her. They still love each other dearly, and I sometimes let them trade rings.

Returning to the Fushiguro's, I headcanon that Shoko and Nanami helped babysit the kids for Gojo, so they have a close family friend relationship with the kids (they still have authority, but are not referred with parental titles, regardless of the SatoSho/ NanaGo/ NanaShoGo/ insert other potential combos here relationship they have with Gojo). Yaga was the Fushiguro's primary babysitter, with Shoko filling in when she could between medical school and working in the morgue in the window between Nanami leaving and returning. Nanami spent more time with the kids later on in an attempt to make it up to Gojo and Shoko. Shoko was going to be checking in on Tsumiki and Megumi the night Tsumiki did the Yasohachi Bridge Challenge, but Tsumiki texted her saying she wouldn't be home until late because she was going out with friends, and it wasn't until the wee hours of the morning that Shoko finally caved to her instincts and tried to call the child, and then her friends as well. When none of them picked up (they were unconscious under the bridge), she called Gojo. Tsumiki was already gone by then. Shoko cried. Gojo does not blame her, but she blames herself for not forcing Tsumiki to come home.