Another aspect could be Penny's family. Fanfiction could explore what happens when Penny's family from Nebraska visits and how the guys interact with them. Maybe there are some comical situations where Penny's parents misunderstand the guys' scientific work, and Penny has to mediate. These stories can be really interesting and family - friendly.
Penny's decision to go back to school was also a significant moment. It showed her determination to better herself and grow as a person. Her struggles and successes in her academic journey were quite inspiring and added a new dimension to her character that had nothing to do with sexual content.
There could be a fanfiction where Penny's pregnancy makes Leonard super nervous. He starts freaking out about being a dad and all the responsibilities. Meanwhile, the rest of the gang tries to support them in their own clumsy ways. It's interesting to see how the characters' relationships develop during this big life change.
A theme that is often explored is Penny's role in the group dynamic. In some fanfictions, she becomes the mediator when the guys have arguments about scientific theories or comic - book universes. This shows her importance in the group and how she helps keep the peace, without any sexual elements involved.
Some Penny x OC fanfiction focuses on the OC being a musician. Penny, with her love for music and performing arts, is drawn to the OC. They could start collaborating on a musical project together. Maybe the OC writes a song for Penny to perform, and through this process, they develop a deep connection. It's a fresh take on Penny's character and adds a new dimension to the Big Bang Theory universe.
Another story could be Penny's efforts to bond with Bernadette and Amy. They had some great adventures together, like going shopping or having girls' nights out. These stories focus on female friendship and the dynamics within the group, which are quite engaging and fun to follow.
One appropriate topic could be their adventures in scientific experiments together. For example, they could be collaborating on a project where Penny's practical skills and Sheldon's theoretical knowledge combine in a comical yet productive way.
One interesting story is when they first met through their mutual friends in the group. Penny was initially a bit more outgoing and worldly compared to Bernadette, but they quickly found common ground in their love for their partners and their shared experiences as women in a group dominated by male scientists. For example, they often teamed up to give advice to Sheldon when he was being particularly difficult in his relationships.
A memorable moment was when they both participated in the scavenger hunt. They showed great teamwork and competitiveness, which was really fun to watch. They were able to use their different skills to try and win the hunt.
Penny's friendship with the whole gang is a great storyline. She is often the bridge between the nerdy guys and the more 'normal' world. For example, she helps them with social situations and they, in turn, help her with things like knowledge and different perspectives.
As far as I can remember, there is no such Penny wedgie incident in The Big Bang Theory. The series was filled with different kinds of comical situations. For example, there were Sheldon's idiosyncrasies, Howard's attempts to pick up women, and Raj's selective mutism. But a wedgie incident for Penny just doesn't seem to be part of the storylines.