It's called the Wii. The Wii.

[Words Of Wisdom]

I have yet to hear someone say any of the following:

"The Nintendo NES."
"The Nintendo SNES."
"The Nintendo N64."
"The Nintendo Virtual Boy."
"The Nintendo Game Boy."
"The Nintendo Game Boy Advance."

The only ones I have heard were:

"The Nintendo 64."
"The Nintendo Game Cube."
"The Nintendo DS."