I talk a lot about getting to know your players and how that effects how you run your game. The subject is incredibly deep, so think of this article as a primer for articles to come.
There are many, many types of players, and few ever sit firmly in a given category. A search on types of role players should send you down a very deep and oft entertaining rabbit hole. I will be focusing on just three broad types, the Role Player, the Roll Player, and the Accessory.