When it comes to pornography the term 'Gonzo' refers to a style of film making pioneered in the 1990s by directors such as Seymore Butts and Ben Dover.
Gonzo porn took the storyline out of adult movies and headed straight for the sex. No longer would the pornoholic have to fast forward through 10 minutes of inept dialog to get 5 minutes of sex. They got sex throughout the whole video.
Gonzo porn was not always shot in the first person or in point-of-view fashion as some have suggested here and the quality of the movie depended largely on who was producing it.

1) Crazy, madcap, unwieldy, or anarchistic.

2) A perticular style of journalism used most famously by writer Hunter S. Thompson in the 60s and 70s, in which the journalist becomes a part of the action. A natural extension of Tom Wolfe's "New Journalism", Based upon the idea that fiction and journalism are both a means to the same end, and that the best journalists have always known this.

3) A blue character on the Muppets with a very phallic nose.

4) A style of first-person pornography, from the view of the camera operator.

abbreviation/slang for gonorrhea

Pornography Genre -
Gonzo: founder of gonzo is John "Buttman" Stagliano. His wife Tricia Devereaux was kind enough to give us THE definition:

a sexual act where a male puts his balls over the partner's eyes and the dick hangs down the nose. This resembles the popular muppet gonzo.

while a girl is sleeping a man sets his testicles to nest over her closed eyes while simultaneously resting his penis over her nose. with testicles taking the place of eyes and a penis taking the place of the nose the girls facial appearance mirrors that of Muppet's character "Gonzo"

A penis that, when erect, curves down resembling Gonzo's nose. Curves to the left, or right are also acceptable, if prefixed; ie: Left-gonzo; Right-gonzo.