One scenario could be when Harry is facing a difficult exam. Snape, despite his usual gruffness, takes Harry aside and tells him to focus on what he's learned rather than stressing about the outcome. This simple yet firm advice calms Harry's pre - exam jitters.
Perhaps when Harry is haunted by visions of Voldemort. Snape, using his Occlumency skills, helps Harry block out the disturbing images. He sits with Harry in a quiet room and guides him through mental exercises, which gradually calms Harry down as he gains more control over his mind.
Maybe Ginny has a nightmare about the war. Harry wakes up with her and holds her tightly. He tells her that the war is over and they are safe now. He then might make her a cup of tea and they sit and talk about their future, which helps Ginny relax. He could say 'Our future is bright, Ginny. There's no more war to fear.'
In a situation where Harry is frustrated with the Ministry of Magic's bureaucracy. Ginny takes him to a quiet place in the Burrow's garden. She listens to his ranting first and then offers her own perspective. She says that they can focus on the things they can control, like helping their friends and family. This practical advice and the peaceful setting help Harry relax.
One scenario is when Harry is in danger during a duel or a battle. Snape might step in to shield Harry from a dark spell. Another could be when Harry is being bullied by other students or facing unfair treatment from the faculty. Snape, in these fanfictions, uses his position to protect Harry. For example, he might give Harry private lessons to improve his skills and keep him out of harm's way.
A possible scenario is that Harry is poisoned by a dark potion. Snape, being a Potions master, detects the symptoms early. He then spends days and nights trying to find an antidote and finally manages to save Harry. This long and intense process could make them realize their feelings for each other. Or, Harry could be kidnapped by a group of rogue wizards who want to use his power. Snape tracks them down and battles them to rescue Harry. After the rescue, the shared trauma and Snape's heroism could lead to a romantic relationship developing between them.
In a more dramatic scenario, during a battle at Hogwarts. Snape might find Harry injured and touch him gently to assess his condition. This could be a very poignant moment as Snape, who has always had a difficult relationship with Harry, is now showing a side of concern. It could also lead to a new level of respect between them.
In some fanfictions, the Malfoys might save Harry because of a magical bond. There could be a spell or a curse that links their fates together. If Harry dies, something terrible will happen to the Malfoys. So they have no choice but to save him. Also, the Malfoys might be influenced by a new ideology. Maybe they meet a wise wizard who makes them see the error of their ways and convinces them that saving Harry is the right thing to do for the greater good of the wizarding world.
Another theme is understanding. Harry has to understand what is causing Ginny's distress. It could be related to family, like in some fanfics where Ginny is worried about her brothers in a dangerous situation. Harry then shows his understanding by being empathetic and offering solutions based on that understanding.
One common scenario could be that Harry is caught sneaking around the Slytherin common room or stealing potions ingredients from Snape's stores. So, Snape and Draco might make him do extra detention tasks like scrubbing the cauldrons for hours without magic. Another situation could be if Harry is suspected of cheating in a Potions exam. Draco might report it to Snape, and they could punish Harry by making him redo all his Potions experiments from the semester.
One scenario could be that Snape holds Harry Potter captive to protect him from a greater threat that he's aware of but Harry isn't. Maybe he has learned of a new dark wizard's plot against Harry and by holding him, he can keep him in a magically protected area until the danger passes.