Yes, there are. Some fanfictions might depict Chi - Chi teaching Gohan important life lessons, like how to balance his human and Saiyan sides. It could also show Gohan looking up to Chi - Chi for her strength and wisdom. They might be involved in heart - warming family moments, such as celebrating holidays or dealing with the challenges that come with being part of the Z - Fighter family.
I haven't come across such a fanfiction myself. It goes against the general nature of their relationship in the original series. Chi - Chi loves Gohan deeply and is very protective of him.
There are various fanfictions that might explore Chi - Chi's death in Dragon Ball Z. Some might do it to explore how Goku and the other characters would react. In a sense, it could be a very dark and emotional take on the story, showing the grief and possible revenge motives of the characters left behind.
One popular theme is Gohan's growth under Chi - Chi's influence. Chi - Chi has always been strict about Gohan's education, and fanfictions might explore how this affects Gohan's development as a person and a warrior. Another theme could be family unity. Since they are an important part of the Saiyan family in 'Dragon Ball Z', fanfictions could show how they support each other during tough times.
Maybe in a fanfiction where Chi - Chi is mind - controlled by an extremely powerful villain. The villain could manipulate her into doing such a horrible thing against her will.
One reason could be a new, extremely powerful villain who targets Earth and Chi - Chi unfortunately gets in the way. Maybe this villain has a vendetta against Goku and decides to hurt him by killing his wife.
There are many. One type of fanfiction could be about Goku and Chi - Chi's courtship. Maybe it details how Goku finally realized his feelings for Chi - Chi. Another aspect could be their cultural differences, since Goku grew up with a different set of values as a Saiyan. Fanfictions might explore how they overcome these differences in their relationship.
Family is a common theme. Since they have a family in the Dragon Ball series, fanfictions often explore how they raise their kids. Another theme is love, of course, showing the depth of their relationship.
One possible fanfiction idea could be that Gohan's sister discovers she has a unique power that no one else in the family has. Maybe she can communicate with animals in a way that helps the Z - fighters. For example, she could get information from the animals about the whereabouts of the next big threat to Earth.
One great fanfiction could be about Gohan and Piccolo's training sessions. Gohan, with his Saiyan - human hybrid power, and Piccolo, the Namekian, could be exploring new ways to increase Gohan's power. Maybe they discover a new technique while sparring in the wilderness. This would not only strengthen their bond as mentor - student but also as friends who rely on each other in battles against stronger foes.
One possible fanfiction could be about Bulma helping Gohan with his studies. Since Bulma is super smart, she could tutor Gohan in advanced science and technology. This would not only strengthen their friendship but also give Gohan new knowledge that might come in handy during his battles. For example, understanding the principles of energy and mechanics could help him better strategize against his enemies.