Wolves could be likely. Wolves are known for their strong pack mentality and could raise Harry with a sense of loyalty and family. They could teach him how to hunt and protect himself.
One interesting plot could be Harry being raised by a pack of wolves. He might learn their ways of survival, like hunting and communicating through howls. This would give him a very different set of skills compared to his wizarding upbringing in the original series.
He would probably be more in tune with nature. Since animals operate on instinct a lot, he might have a stronger sense of intuition. For example, if he was raised by deer, he'd be more skittish and aware of his surroundings, always on the lookout for danger like they are.
One popular one might be 'The Animagus Potter' where Harry is raised by magical animals and discovers his own unique connection to them. It often has him learning their ways and using that knowledge in the wizarding world.
There are various ways hunting animals can be incorporated into Harry Potter fanfiction. It could be part of a quest where the characters need to hunt a specific animal for a potion ingredient or a magical artifact. For example, a fanfic could depict Harry and his friends on a hunt for a rare unicorn, which would not only involve the physical act of hunting but also deal with the moral implications since unicorns are considered sacred in the wizarding world.
Well, it changes the character development a great deal. In the original, Harry is raised by the Dursleys which gives him a certain view of the Muggle world. But when raised by animals in fanfiction, he has a more instinctual and nature - based view. For example, if raised by owls, he might have a better understanding of communication through flight and have a different relationship with magic related to animals.
One interesting plot could be Harry learning unique survival skills from the animals. For example, he might learn how to track prey like a wolf, which gives him an edge in the wizarding world later. Another could be the animals protecting Harry from the dark forces in a way that wizards couldn't. Maybe a group of eagles carry him away from danger just in time.
Often, in Harry Potter fanfiction, animals are hunted using magic. For example, spells might be used to track and capture them. Wizards could use the 'Revelio' spell to find hidden animals. Then, they might use a binding spell like 'Incarcerous' to trap the animal before taking it for whatever purpose they need it for, whether it's for study or for a potion ingredient.
Well, in some fanfictions, Harry Potter is good with animals because of his connection to the magical world on a deeper level. His experiences with dangerous creatures like the Basilisk might have given him an edge in understanding animals. Fanfic authors often write him as being able to sense what animals need or want. So he can help injured magical beasts or even befriend those that are usually hostile.