One common scenario is when Harry has a nightmare about his parents' death. He might then seek out Snape, knowing that Snape was also connected to his mother. Snape could offer some memories or stories about Lily that would bring Harry a sense of comfort. Another scenario could be when Harry is struggling with his identity as the Chosen One. Snape, who has his own complex identity within the wizarding world, could provide some perspective and comfort to Harry.
A typical scenario in such fanfiction is after a major battle. Harry, shaken and traumatized, goes to Snape for comfort. Snape, who has seen his fair share of battles, can offer practical advice on how to deal with the after - effects of war, like how to cope with the loss of friends. Also, when Harry is having trouble with his schoolwork, especially potions, he might turn to Snape for comfort in the form of guidance. Snape, despite his gruff exterior, could end up helping Harry not only with his studies but also with his emotional state related to his academic performance.
In these fanfictions, Harry Potter could seek comfort from Snape in different ways. Sometimes it could be because Snape is the only one who seems to understand the weight of the prophecy on Harry's shoulders. Harry may feel that Snape, having been involved in the whole prophecy business from the start, can give him advice on how to deal with it. Snape's skills in magic, especially in potions and the dark arts, might also make Harry feel safer in his presence. So, in a way, it's a combination of shared secrets, knowledge, and a sense of protection that leads Harry to seek comfort from Snape.
It's an interesting concept because Hermione and Snape have a very complex relationship in the original series. Snape is often quite harsh towards Hermione, so the idea of her seeking comfort from him creates a great contrast. It allows for a lot of character exploration, like seeing Snape in a more sympathetic light and Hermione having to overcome her previous impressions of him.
One common scenario is after a battle. Harry is injured, and Snape, despite their differences, steps in to heal him. Maybe it's a fight against the Death Eaters where Harry is seriously wounded, and Snape realizes he has to put aside their enmity for the greater good.
Well, Tumblr can also be a good place to find such fanfiction. There are many fanfiction blogs dedicated to the Harry Potter fandom. You can search for relevant tags like 'Hermione Snape comfort' or something similar. Some users might post excerpts or links to their stories on there. Also, Reddit has some Harry Potter fanfiction communities where people might recommend or share stories of this nature.
One common scenario is Snape helping Harry with his Potions work. Since Snape is the Potions master, he might offer some extra guidance to Harry, which could be crucial for Harry's progress in school. Another scenario could be Snape protecting Harry from the bullying of other Slytherins. He might not do it in an obvious way, but still intervenes subtly.
Often, Snape will single out Harry in front of the whole class. He might publicly criticize Harry's work or attitude. For example, when Harry is assigned a group project in Potions, Snape might give Harry extra tasks or set higher standards just for him. And during exams, Snape could be extra strict when grading Harry's papers.
One common scenario is that Snape saves Harry's life in a more personal way than in the original story. This act of heroism makes Harry see Snape in a new light and starts the journey towards friendship. Another is when they discover a common interest, like a love for a particular type of magic or potion - making. This shared interest bridges the gap between them.
A common scenario is that Harry is made to scrub cauldrons. Snape would be hovering nearby, making sarcastic remarks about Harry's sloppiness. Another one could be that Harry has to organize Snape's Potions ingredients in alphabetical order while Snape quizzes him on their properties.
Perhaps they are both transported to an alternate dimension where they have no prior grudges. They have to work together to find a way back home. In this new situation, they learn about each other's strengths and weaknesses without the baggage of their past in Hogwarts, which leads to them getting along.