[quote=Vortex]
Oh? Would you be so kind as to enlighten me oh wise Yami?
[/quote]

Gladly. Sit down, this will take a bit. 

Furries are the anthropomorphic animal persons, often retaining most features of the animal they come from such as fur, instincts, muzzles, and various other very obvious physiological details. For the most part, these details are very difficult to conceal because they are present throughout almost the entire physical and psychological being. 

In short, an animal with a more human-like form. 

Neko, however are part of the grouping known as Kemonomimi, literally meaning "animal ear(s)." Unlike furries, their only necessary defining features are the ears and tail present on them, and though exactly how catlike in both appearance and behavior they can be may vary, they are essentially more human in both than the traditional furry. They also tend to lack the more obvious physiological features furries may have such as muzzles or more catlike feet, though again, this may vary depending on the style. 

Essentially, human cat. 

Kemonomimi generally have an easier time hiding animal traits as there is a lot less to hide. Their eyes may or may not resemble that of the animal they represent, but they can often be found with human eyes. They may also display the instincts and somewhat different physical abilities attributed to the animal they represent, but in general, they usually must follow the rules of basic human anatomy. 

So, to recap: Furry = anthropomorphic animal, Neko = catlike human. 

It's almost like the difference between yellow orange and orange yellow. [i]Do not confuse them. I will come after you. [/i]