Smokey eyes don't necessarily mean blacks, greys and browns...
The second type is when the lid colour is a lighter shade and the darker colour is concentrated at the outer corner of the eyes and blended inwards.
The third is when the lid is light and the crease is darker and blended above towards the brows.
Smokey eye looks can be created with any colour, it doesn't even need to be a darker shade of colour. Here are some examples of colourful smokey eyes...
Lighter and softer shades of colours can also be used to create subtle smokey eyes.
The the term Smokey Eyes can be used for a variety of different looks. Only the blending of the eyeshadows gives the look the name of Smokey Eyes.
Disclaimer : All the pictures in this post have been taken from the internet for the purpose of showing the examples of different looks.