There is a scene that plays during the end credits, featuring Peter's old teacher walking down the school hallway, and getting shot by the hall monitor bot.

Lois: A woman is not an object.
Peter: Your mother is right, son. Listen to what it says.
Lois: Peter!

Peter: Well, a lot of nasty things have been said during this campaign. But pictures are better than words because some words are big and hard to understand.

Peter: Lois, you leave me no choice but killing you...in the race for schoolboard president.

Peter: I know, you're a feminist, and I think that's adorable, but this is grown-up time now and I'm the man.

Peter: Our children are our greatest treasure. They deserve a school board president who doesn't leave her feminine ointments in the fridge next to the mustard. That was the worst sandwich I ever ate! She flosses in bed. She snores like a wildebeast. She freed Willie Horton. She nailed Donna Rice.
Lois: Peter, that's enough!
Peter: Eats babies.

Tom Tucker: Stay tuned for our special investigative report on the clitoris, "Nature's Rubik's Cube".

Stewie: (picking his nose) Does this not disgust you?
Brian: Kid, you're talkin' to a guy who uses his tongue for toilet paper.

Peter: I'll make sex education fun!
Cartoon character: Vagina junction, what's your function? Takin' in sperm and spittin out babies!

Brian: Face it Peter, you get competitive about everything.
Peter: I am so not competitive. In fact, I am the least non-competitive. So I win.

Lee Majors: What? Women are things.

The red checker pieces disappear after Brian says "king me".

Chris' locker handle disappears after he takes his combination lock off and opens the locker to reveal the dirty magazines.

When the final credits begin, on the exterior shot of the school, the flag is flying backwards.

The lettering on Stewie's baby book is yellow, but switches to black for one shot and then back to yellow.

The washing machine lid opens on the right side when Peter comes down to the basement.
When Lois turns to talk to him it's suddenly closed and when Peter rushes to it asking about his rainbow socks the lid opens at the top.

Cleveland brings over a second red 'Griffin for School Board President' sign and drops it on the ground but when Peter comes out and asks Lois 'what's with the sign', the second one has vanished.

During the end credits scene with Mr. Fargus, the hallway walls change color three separate times.

Peter: “I didn't say that, Lee Majors did”

American actor Lee Majors (1939-) appears in this episode.
He may be best known for his television roles in the the 80's action/drama “The Fall Guy” (1981-1986) & the 70's action show, “The Six Million Dollar Man” (1974-1978).

Peter: “Every man does it, even Mr. Rogers”

Fred Rogers (1928-2003) from the long running PBS show Mr. Roger's Neighborhood makes an appearance in this episode.

Lois: “Winning without honor isn't really winning at all. Isn't that right, Milli?”

“Milli Vanilli” was a musical duo made up of Rob Pilatus (1965-1998) & Fab Morvan (1966-) in the 80's/early 90's.
They won a Grammy Award for “Best New Artist” in 1990, but soon after it was revealed they were NOT the ones actually singing their songs, they were forced to return their awards.

Peter: “...then I am gonna run like the Six Million Dollar Man”

The 70's action show, “The Six Million Dollar Man” (1974-1978), starring Lee Majors (who makes a voice cameo in this episode) is parodied w/ Peter replacing “Steve Austin”, the character played by Lee.

Visual: “Monday Night Debate”

The same style of lettering was used by “Monday Night Football” when it aired on ABC from 1977 to 2005

Stewie: “...when you read Faust you're supposed to do Mephistopheles in a scary voice like this...”

“Faust” is the protagonist of a classic German legend who makes a pact with the Devil in exchange for knowledge.
“Mephistopheles” is the name of the demon in the legend.

Stewie: (singing) “I've grown accustomed to her face...”

Stewie sings “I've Grown Accustomed to Her Face”, a song from the 1956 musical “My Fair Lady”, w/ music by Frederick Loewe & lyrics by Alan Jay Lerner.
It was originally performed by Rex Harrison, the British actor who Seth MacFarlane says inspired Stewie.

Visual: “The photo of Lois in the shower w/ Stewie silhouetted holding a knife”

This is an allusion to the horror classic, 1960's “Psycho” directed by Alfred Hitchcock (1899-1980).
As the character “Marion Crane” (played by Janet Leigh (1927-2004)) takes a shower, a shadow slowly approaches the shower curtain, the curtain is flung open and Marion is stabbed to death.

Peter: “This is life, the one you get, so go and have a ball because the world don't move to the beat of just one drum.
What might be right for you, may not be right for some.
You take the good, you take the bad, you take them both and there you have my opening statement”

Peter's opening statement is made up of the theme songs to 3 different 80's TV sitcoms.

“This is life, the one you get, so go and have a ball” is from “One Day at a Time” (1975-1984)

“...the world don't move to the beat of just one drum. What might be right for you, may not be right for some” is from “Diff'rent Strokes” (1978-1986)

and “You take the good, you take the bad, you take them both and there you have...” is from “The Facts of Life” (1979-1988)

His final comment “Sit Ubu, Sit. Good dog” is a reference to Ubu Productions.

Lois: “Peter that wasn't you. That was Adolpho Shabba-Doo in Breakin' 2: Electric Boogaloo”

Lois mentions the sequel to “Breakin'” 1984's “Breakin' 2: Electric Boogaloo”

Peter: “...she freed Willie Horton, nailed Donna Rice...”

Willie Horton is a convicted felon who was the subject of a Massachusetts weekend furlough program that released him while serving a life sentence for murder, without the possibility of parole.
While out on the furlough he committed assault, armed robbery and rape.
A political advertisement during the 1988 U.S. Presidential race was critical of the Democratic nominee and Massachusetts Governor Michael Dukakis for his support of the program.

Donna Rice was a figure in the 1987 sex scandal that ended the second presidential campaign of Gary Hart

Peter: “For starters, we're making sex education more fun”

The singers' “Vagina Junction” song is a reference to & parody of “Schoolhouse Rock” (1973-1986)(1993-1996) and the song “Conjunction Junction”.

Jack Sheldon, the voice of the original “Schoolhouse Rock” shorts provides the voice of the conductor in this episode.

Peter: “And our schools are the safest around thanks to the hall monitor XL-K”

The “XL-K” is a reference to The Enforcement Droid Series 209 (or ED-209)(voiced by Seth MacFarlane).
It is a fictional robot featured in the 1987 scifi movie “RoboCop”.

American political consultant, commentator, attorney, media personality, and prominent liberal pundit James Carville (1944-) appears in this episode and provides his own voice.

Peter: “Did someone open the Ark of the Covenant?”

Peter's reaction to Carville's appearance is a reference to the ending of the 1981 action film “Raiders of the Lost Ark”.
At the end of the movie, the ark is opened causing the faces of the three main villains to melt, burn & explode.

Tom Tucker: “Now boarding the helicopter”

The way Peter acknowledges the crowd with the duel peace signs is the same way disgraced President, Richard Nixon (1913-1994) left office after he resigned in 1974.

The fad puzzle box invented in 1974, the Rubik's Cube is mentioned in this episode.

In this episode Peter tells of his great-grandfather, Juarez Griffin.
This may not be a real relative since he's a cock fighter and the same size of the roosters he fights.