Third Person Cameras in 3D Games
Third person cameras are set so the player can see the character while they are controlling them. This gives the player a god-like view of the character and can see things in the surroundings that the character wouldn't be able to see in their sight (e.g. behind them or further sideways than peripheral vision).
Third person creates a middle man in between the player and the environment. While first person games have the player interact with their environment, third person has the player interact with the character who interacts with the environment.
Third person works best with games that have a big emphasis on the main character themselves. It doesn't necessarily have to be narrative heavy (though a lot are) but if the game was made with the intention of the main character becoming iconic and one with the franchise, third person is the way to go. Examples of this include: Lara Croft, Link, Sonic, etc. These characters are easily recognizable and when one of their games are mentioned a player can easily picture the character and things associated with that character/franchise (setting, gameplay, etc).
With first person games, each player could imagine the main playable character differently - so even if they know the characters name and backstory, it would be difficult to get everyone to imagine the same character and be able to use that as a main marketable part of the game. Some first person games still give their game a memorable image of the main playable character (e.g. Faith from Mirror's Edge) but they only do this by using a third person in cut-scenes and promotional material.
RPGs and 3D platformers often use third person cameras. In 3D platformers, the playable character is often one of the main draws of the game, so it important for the player to be able to see the character while in game. Using third person can also change the type of puzzles that can be used in the game, things can be used that the character wouldn't be able to see but the player can. RPG's are mainly narrative based. Players come to the game to see the specific journey of a character or group of characters. Often the look and style of characters is what pulls people in to RPGs,