1. Nintendo characters; A race of turtle-like reptiles that come in all shapes and sizes. Most of them are Bowser's servants, but there are also a lot of good Koopas. Bowser's Koopas have many various soldier ranks, most common of which is "Koopa Troopas" (which is another word for "troopers", if I'm not mistaken).
2. Koopa is also the name of their king. Koopa or King Koopa, also known as Bowser or Lord Bowser. But anyone who watched old Mario cartoons or played Super Smash Bros. Melee on Japanese mode knows that already.
Ahem. Anyway, his full name (as far as I know) is King Bowser Koopa.
1. "Uh oh. There's an army of Koopas approaching us."
A koopa troopa that has not yet ascended to the rank of troopa. May work in a grocery store or gas station. If it does not become a troopa within one year, it is put to death by squashing.
"That koopa is a waste of pixels. Lets gojump on his unshelled ass. Then we'll go get a pizza and do some plumbing."
It was first commonly used while cruising around the "Beach" (a specific area) of Toronto in the summer of 2007. "Koopa" is correctly used when you drive pass an ugly person in your car and yell the word "koopa".
In Super Smash Bros. Melee, characters who's walk-acceleration is lower than their traction value after wavelanding backwards can buffer a slight walk forwards to decrease the momentum lost. The walk input must be at its lowest value to perfectly execute the tech. (rough translation of inputs) Characters with low traction (Luigi) benefit worse than those with higher traction values in Melee. (i.e Gannondorf can benefit from the Koopa Backdash Wave Slide Hover Walk Moon Landing more than Luigi in terms of distance)
Youtube has more info on this.
The Koopa-Backdash-Wave-Slide-Hover-Walk-Moon-Landing can make virtually anyone feel like they are playing on ice.