One common theme is self - discovery. Without Dumbledore's guidance, Harry has to figure out who he really is and what he stands for. Another theme is mistrust of authority, as Harry starts to question Dumbledore's motives in the original story. Rebellion is also a theme, as Harry breaks away from the traditional path set by Dumbledore.
Sure, there are some great ones out there. The idea of Harry being independent from Dumbledore gives writers a chance to re - imagine the whole wizarding world from Harry's perspective. He can form new alliances, explore different magical aspects, and deal with threats in his own unique way. It's a fresh take on the familiar Harry Potter universe, and if you search thoroughly, you'll find some really well - written fanfictions.
In the fanfiction, Snape could protect Harry from Dumbledore by using his skills in potions. For example, he might create a potion that hides Harry's magical signature from Dumbledore's detection. Or he could use his knowledge of the Dark Arts to counter any spells or charms that Dumbledore might use to keep tabs on Harry. Snape is very intelligent and resourceful, so he could find various ways to physically and magically shield Harry from Dumbledore.
One possible reason could be that Harry has discovered something about himself or his past that he thinks Dumbledore might not approve of or might try to stop him from exploring further. For example, if he found out some dark magic connection in his family history that he wants to understand on his own without Dumbledore interfering.
One reason could be that Snape has his own complex sense of loyalty. He may feel that Dumbledore's plans for Harry are too dangerous or not in Harry's best interest in some ways. He has a long - standing relationship with Harry's mother, Lily, and perhaps through that connection, he wants to safeguard Harry from any harm that might come from Dumbledore's actions or decisions.
His friends like Ron and Hermione might help him. They are always there for Harry and if they believe that Harry has a valid reason for hiding from Dumbledore, they would likely do whatever they can to keep him hidden and safe. For instance, Hermione could use her intelligence to create spells or distractions to keep Dumbledore off Harry's trail.
Well, in fanfiction, anything can happen. Regarding Dumbledore stealing from Harry, it depends on the specific fanfic. Some might show Dumbledore stealing Harry's inheritance, perhaps believing he can use it for a greater good. But this is not in line with the general perception of Dumbledore in the main series. Fanfic writers like to twist and turn the characters to create new and interesting stories.
One possible reason could be that Dumbledore believes he is acting in Harry's greater good. Maybe he thinks that by taking certain items from Harry, he can protect them from falling into the wrong hands. For example, if Harry has a powerful magical artifact that Voldemort desires, Dumbledore might steal it to keep it safe.
In fanfiction, Harry might use his knowledge of the secret passages in Hogwarts to hide from Dumbledore. He could also use Polyjuice Potion to change his appearance and blend in with other students or people in the wizarding world. Sometimes, he could even ask his friends to create distractions so that he can slip away and hide. For instance, Ron and Hermione could start a commotion in one part of the castle while Harry hides in a different, more secluded area.
One possible motive could be a misguided sense of protection. Dumbledore might think that taking something from Harry, like a powerful magical item, would keep it out of the wrong hands. He may believe that Harry is too young or inexperienced to handle it properly.