It's implied that Principal Lewis was/is a drug dealer nicknamed "El Lobo Negro" (The Black Wolf, in Spanish) whose rival is a man named Estaban Mortia.

This is the first time we see Debbie since "The American Dad After School Special", and since in "Failure is Not a Factory-installed Option" Steve "see's" another girl, we can assume this episode was aired out of production order.

The names of the two pamphlets Stan is offered before his vasectomy are "Disobedient School Prefect" and "Buxom Octopus Woman".

The name of the coffee shop where Steve "dumps" all his "girls" is "Coughy's Coffee Shop".

Roger: I can't wait to enroll here, people are finally gonna take me seriously.
Hayley: Don't they have college on your planet?
Roger: Yeah, but if you're not Asian it's almost impossible to get in.

Hayley: Roger, your lecture today was just ideological nonsense.
Roger: Oh, really?! You've just earned yourself a week of detention!
Hayley: There's no detention in college.
Roger: Oh, right, well, then I'm taking away fifty points from Gryffindor!

Stan: (at work) Francine, what are you doing here? This isn't home.

Steve: (to Francine) You, um, you look good... well, um, say hi to your folks for me.
Debbie: (whispers walking away with Steve) She looks awful.

Steve: I'm so glad you came over for dinner, Debbie.
Stan: Yes, terrific to have my son's girlfriend gobbling up my family's precious food.

Debbie: Everything's so delicious. Mr. Smith, can you pass the potatoes?
Stan: Ethically, I don't think I should.

Ethan: Professor, I was wondering if you'd like to come to dinner at my home. (See's Hayley standing next to Roger) Hayley, you should join us, too. (Walks away)
Roger: Hayley, just so we're clear, you're only coming because you got caught in the gravity of my invite. I was so invited that it invited everything around me.

Francine: (talking about Debbie) It's so cute that Steve has a little girlfriend.
Stan: Well, don't tell Debbie about her, because she'll eat her.

Hayley: Roger, how'd you come up with that lecture?
Roger: Eh, I just stitched together a little Mr. Holland, a little Dead Poets, and the rest was just lies.

Francine: Who does that fat-so think she is?!
Stan: Oh, is Debbie a larger woman? I hadn't noticed.

Stan: A world with no children. Future generations will thank us.

Steve: I don't have any drugs! I'm totally clean!
Principal Lewis: Do you expect me to take your word over that of an anonymous tipster?

Stan mentions that he donated sperm years ago, so he doesn't have to do it before his vasectomy. However, "A Smith in the Hand" implies that he has never masturbated before, so how could he donate sperm if he doesn't know to masturbate.

Iced, Iced Baby

The episode title is a play on the title of the song "Ice, Ice Baby" sung originally by Vanilla Ice.

Roger: Then I'm taking away fifty points from Gryffindor!

Roger is referring to the Harry Potter book/movie series. In the series, there were four different houses: Ravenclaw, Hufflepuff, Gryffindor, and Slytherin. At the end of the year at "Hogwarts" (the school that contained the houses) one house would win an award for having the most points that they were given throughout the year depending on their conduct. Dumbledore, the "headmaster" character, often exclaimed things like "Fifty points from Gryffindor!" throughout the series.

Francine: Oh, is Roger doing a quip?

Francine is actually referring to American Dad!. Throughout the show so far, most of Roger's jokes have been little quip's (ie falling down and knocking everything over).

Roger: Electric word, life. It means forever, and that's a mighty long time.

Roger's line there is actually a word for word quote from Prince's 1984 album Purple Rain. That specific quote is from the song "Let's Go Crazy".

Stan: Can it! You're the Adam Sandler of this house, and nobody wants Punch Drunk Love. Just give us Waterboy.

Punch Drunk Love and Waterboy are both films starring Adam Sandler. Punch Drunk Love was created to show Adam Sandler's dramatic side (which was met with some criticism from those who loved his crazy, childish comedic movies, such as The Waterboy and Billy Madison).

A similar joke is heard at the end when Roger says, "I'm going to stop doing The Majestic and go back to doing Ace Ventura." Both of those movies star Jim Carrey, who, like Adam Sandler, was famous for his over-the-top comedy (as seen in Ace Ventura) and criticized for trying to branch out into drama (as seen in The Majestic).

Roger: Eh, I just stitched together a little Mr. Holland, a little Dead Poets, and the rest was just lies.

Mr. Holland and (The) Dead Poets (Society) are both movies featuring strong philosophic idea's and morals.

Roger: Yeah, but if you're not Asian it's almost impossible to get in.

Roger is making a joke about the fact that the Asian population/race generally has higher test scores than other races, and are basically known for being "smarter".