Coach Bradley Buzzcut is the secondary antagonist of Beavis and Butt-Head. He is a strict and serious teacher who hates fooling around and is one of Beavis and Butt-Head's main adversaries, and arguably their toughest. Buzzcut teaches health, physical education, sex education, and math classes at Highland High School, as well as coaching the school's varsity football, basketball, and wrestling teams. He is also in charge of detention.

Coach Buzzcut is a middle-aged muscular man with a white gym shirt with "COACH" written on it, and blue gym shorts (sometimes track pants). Despite his surname, his haircut is a crew cut. When he is teaching other subjects, he wears a green collared shirt with a dark green tie, and dark olive pants, reminiscent of a military dress uniform. In "Water Safety", Buzzcut is shown to have a tattoo of a battleship on his chest. Buzzcut is a very patriotic former Marine drill instructor and Vietnam War veteran. He is characterized by his short temper, frequent angry outbursts, and general disdain for his students, most of whom he regards as weak. When enraged, Buzzcut becomes red and trembles. As a result, he and Mr. Van Driessen clash in their teaching and disciplinary methods (although Van Driessen has once threatened to call him in to deal with his rowdy class, implying that he relies on him for major discipline). Along with Principal McVicker, Buzzcut probably hates Beavis and Butt-Head more than any other character. He regularly makes life hard for the duo and questions their manhood (as seen in "Buff 'N' Stuff", in which he asks Butt-Head what makes him think that he is a man. Butt-Head then responded, "Uhh, I got testicles." Buzzcut continues to tell Butt-Head to "kick him in the jimmy", which he does twice). He always threatens to kill the boys, but he never does, instead just beats them up. He even stated that he endures them and tries not to kill them. Although Buzzcut is tough and perpetually angry to boot, he has expressed shock a couple of times; in "Safe Driving", he is shown screaming in terror with the duo as they crash into a semi, and in "Head Lice", he shows a burst of surprise when he notices the duo's head lice, though it is very brief and goes back to yelling at the duo afterwards about their lice.

He is shown substitute-teaching regular classes, but usually teaches physical education. It has been implied and even shown that he has on occasion committed assault and battery against the duo, but he once defended them from (as well as beating up) Mr. Candy (previously known as "Mr. Manners") by saying, "This is my class! I do the ass-kicking around here!". Buzzcut takes the blows with little pain and beats him to a pulp.

In the episode "P.T.A", Beavis and Butt-Head tell everyone that Buzzcut was abusing them, causing the Board of Education to put Buzzcut under investigation. This makes Buzzcut so mad that he demands to know who the two people are so he can kill them. This cannot be attributed to his hatred and wanting to kill Beavis and Butt-Head, being that he did not know that the duo were said people. Despite this, Buzzcut keeps his job in later episodes.

Throughout the series, Coach Buzzcut has shown to have a very sadistic personality and takes pleasure in seeing Beavis and Butt-Head suffer, though he does show hatred towards other students. One of his more sadistic moments in the show is in the episode, "Young, Gifted, & Crude", when he told his students to beat up a student from a gifted class for no reason.

In "Beavis and Butt-Head Are Dead", Van Driessen attempts to sway sympathy for Beavis and Butt-Head when they are presumed "dead". However, Buzzcut reminds him that the boys have caused the faculty and McVicker a lot of grief over the years. However, his flashbacks were of him tormenting the duo, instead of the other way around. He mentions to Van Driessen that it took every ounce of his self-control not to kill them, finishing that even thinking of them kills any of his sense of human dignity, and expressing his hope that their deaths were slow and painful. While Buzzcut is a former Marine, he claims he served in Vietnam under the 1st Infantry Division (a.k.a. The Big Red One), which is part of the Army. Following the Marine tradition of naming your rifle, his M-16 was named Grace. He is likely a war criminal and even brags about his war crimes in graphic detail in the episode "Buff 'N' Stuff". Despite their obvious hatred for Buzzcut, Beavis and Butt-Head tend to respect him more than Van Driessen and the other faculty members, likely due to his violent nature, which they are both horrified and fascinated by (as seen in "Buff 'N' Stuff"). This is further implied in the book This Book Sucks.