In a particular FNAF story, a group of kids dared each other to spend the night in the abandoned pizzeria. As the night fell, strange noises started. The animatronics that were left there in a dilapidated state began to activate one by one. The kids realized they were in real danger as the animatronics moved towards them with an unnatural speed. They tried to find a way out but the place was like a maze, and they were constantly being chased by the terrifying animatronics.
I'm not aware of any official connection between GTA 5 and FNAF in terms of scary stories. GTA 5 has its own dark and gritty stories, and FNAF has its own spooky lore, but they are from different franchises and not typically combined in that way.
In fnaf foxy horror stories, the element of surprise is a big factor. Foxy often appears when least expected, like from the seemingly quiet Pirate Cove. Also, the setting of the abandoned pizzeria adds to the overall spookiness. The dim lights, the creaking floors and the idea that a terrifying animatronic like Foxy is lurking around make it truly frightening.
The back story of FNAF 4 is scary mainly because of the nightmares. The main character is a child who is haunted by these terrifying animatronics in his dreams. These nightmares seem to be related to the dark secrets of Freddy Fazbear's Pizza. The animatronics look more distorted and menacing in this installment, which adds to the horror.
It could be a story where some of the GTA 5's nightclubs or amusement parks have animatronics that come to life at night. These animatronics could start stalking the players, much like in FNAF. They might be found in the dark corners of the city, with glowing eyes, and make strange noises as they approach the player.
One of the best back stories in FNAF is about the Purple Guy. He was a serial killer who haunted the Freddy Fazbear's Pizza places. He caused the deaths of many children which led to the haunted nature of the animatronics. The animatronics, initially meant for family fun, became vessels for the vengeful spirits of the murdered kids.
The appearance of the animatronics in unexpected places is really scary. For example, when they suddenly show up in the dark corners of the pizzeria in the stories.
The animatronics themselves can be considered main characters in a way. Freddy Fazbear, Bonnie the Bunny, Chica the Chicken and Foxy the Pirate Fox play significant roles. They are the sources of horror, with their own distinct personalities (although they are haunted and menacing) in the stories. For example, Freddy is often depicted as the leader among them, and his appearance is always a sign of great danger.
There's a story where an animatronic in FNAF actually gets inside a person's mind. It makes the person see hallucinations of the other animatronics everywhere. The person slowly loses their sanity as they can't tell what's real and what's not. It's really disturbing to think about being trapped in that kind of mental state while also being in danger from the physical animatronics.
Some stories might focus on the mystery behind the creation of these animatronics. There could be dark secrets about the people who made them, and how they ended up being haunted. It's all about the horror and mystery that surrounds the FNAF world.