If you are trying to hunt certain animals, particularly when required to kill them just with a Bow and Arrow, there are a few tactics you can try to employ:
The game is very large, meaning there are frequently occasions when animals will 'glitch' or get trapped in an area and not be able to move. If fighting something like the Black Panther, you can try to get it to glitch before shooting it with your arrows - it's a tough fight otherwise.
For more docile prey, try getting them between you and the ocean. Then, fire some shots into the group and they will run away from you, into the sea, and drown themselves.