when Daria picks up the Iliad off her stack of books you see underneath is another copy of The Iliad
When Quinn looks down at Daria after brushing Tommy off, the shot looks out of proportion.
When Daria was playing Monopoly with her parents, Jake rolled the dice and landed on Park Place, but the color of the property was red instead of blue, it went for $400 instead of $350, and Park Place with a hotel would cost $1500 in rent, not $1600. Also, Jake is playing with the bulldog piece, but there is no bulldog piece, only a Scottish terrier. Finally, the word "Monopoly" that appears in the center of the board typically is diagonal. (These are probably related to Parker Brothers copyright issues.)
Goof: When Mr. DeMartino lights his cigarette upside down, he uses a Zippo lighter. From the way he was holding the Zippo, he would have burnt his thumb, and not lit his cigarette.
During the grounding, Daria reads Herman Melville's Moby Dick, and tries to trick Quinn into reading Homer's The Illiad.
The rules listed on the slates change several times during the episode.
During the captivity montage we see Daria reading and Quinn pacing. The second time Daria is shown reading we clearly see a stack of books near the couch. After Quinn remarks on "the only thing worst than reading" the camera cuts back to show that Daria's stack of books is missing. After another cut they miraculously reappear.
(Kevin has previously overheard Daria telling Jody and Mack about her parents' plans and how she was even more dismayed that that's where she gets her "genetic make-up")
Kevin: And then she said her parents were trying to change her generic make-up!
Brittany: They really should! I hate that stuff--it gives me hives!
Brittany: (on Daria) She looks normal--for her.
Jane: Although, the clothing would disguise any electrodes below the neck.
Kevin: (on Daria) They did mental stuff to her. I can tell.
Brittany: Nobody better try that on me!
(upon seeing that the new house rules written on stone tablets)
Daria: Hey, does this mean we get to wander in the desert for forty years?
Helen: (reading) "Rule number one: Persistent questioning of parental judgment is punishable".
Quinn: The only thing worse than actually reading is watching somebody else read.
(telling the story of Mr. DeMartino's heart attack)
Jane: But a voice in his head told him his work here on Earth wasn't finished; some of his students weren't wetting the bed yet.
Daria: I didn't even know we had a curfew.
Jake: That's interesting, Daria, I didn't either. But according to your mother...
(Daria is playing a harmonica)
Jake: Yeah, hi, Daria. I was kind of wondering if maybe you could stop now.
Daria: Dad, these tired bones may be locked behind prison walls, but when I play this rusty old harp, my soul flies free as a bird.
Daria: Look, someone once said, "The most important thing in life is not to look like a geek." Do you have any idea how geeky all of this is?
Jake: (offscreen) What's going on down there!
Helen: (offscreen) More threatening.
Jake: (offscreen) Let me handle it. Darn it, what's going on down there!
Helen: (offscreen) Jake, you sound like such a geek...
Jake: Hey you guys must have really been burning the midnight oil last night.
Quinn: We weren't burning anything.
Daria: I had a magnetic device implanted in my head.
Kevin: I knew it! What does it do?
Daria: It attracts gullible boys.
Kevin: Cool! Does it work?
Daria: It's working right now.
(Kevin looks around for a moment before finally figuring out what Daria meant)
Kevin: Whoa! Dude! That is very uncool. (leaves)
Daria: There's no sadder sight on this Earth than a football player trying to think.
Jane: So, basically, you've convinced them that you were too dull to be worth grounding.
Daria: Exactly, and the sad thing is, it's kinda true.
Daria: I suspect you have some scam worked out for yourself, but since I can't prove anything, I'm asking you not to rat on me.
Quinn: ("Godfather mode") Hmmm, okay, yes, I will do this thing you ask. But one day, I may ask a favor of you.
Daria: Never mind. (leaves)
Daria: The confinement has made me desperate. If I don't get out, I'm afraid I might do something crazy.
Jake: Oh, my God, I almost forgot! (grabs the coffee table) Sorry, councilor, the court requires this accoutrement.
(Jake drags the coffee table over and sets the chair on it, so that he is elevated)
Helen: Oh, for heaven's sake.
Jake: There. Family court is now in session.
Daria: Careful. Don't fall off the accoutrement.
Daria: So instead of saying, "Don't come home so late," now they've created some elaborate punishment system.
Jane: You mean like a spanking machine?
(Jake and Helen are upset that Quinn snuck out of the house last night)
Jake: (points to tablets) Do you have any idea how many of these rules you've broken?!
(Daria turns one tablet over the other, hiding the text)
Daria: How many, Dad? And which ones?
Jake: What's that got to do with it?
Quinn: Have a little dignity, Daria.
Daria: If I had any dignity, do you think I'd be out here letting you try and teach me how to be cool?
-Splendora - "You're Standing on My Neck" (opening credits)
-Warren G - "I Shot the Sheriff" (closing credits)
-Powerman 5000 - "Tokyo Vigilante #1" (Daria arrives home late & Quinn gets busted)
-Mary J. Blige - "Love is All We Need" (Helen's new rules)
-Shabba Ranks - "Mr. Loverman" (DeMartino working out)
-Chalk Farm - "Live Tomorrow" (family court begins)
-That Dog - "Never Say Never" (after first commercial break)
-Rage Against The Machine - "Killing In The Name Of" (Daria reading)
-Komeda - "Rocket Plane" (playing Scrabble & Quinn's phone calls)
-Foxy Brown - "I'll Be" (Kevin & Brittany at Pizza King)
-Cowboy Mouth - "Jenny Says" (Quinn asks Daria for a book)
-Nuvorican Soul - "Runaway" (Helen wakes Quinn)
-The Offspring - "Gone Away" (after rollerhockey game)
-Bis - "This Is Fake DIY" (Daria & Jane at Pizza King)
Junior Wells was one of the great blues harmonica players. He was also known as the Godfather of the Blues.
Jake: Actually, I think somebody did say that...Jefferson, or somebody.
Jake was correct for once. Thomas Jefferson was the one who said, "A government of laws, not of men."
Daria tries to get Quinn to read The Iliad, which includes a character named Helen (she's the one everyone is fighting over). It also involves the death of one who is portrayed as a defender of justice (Hector). Quinn's comment about "now give me something I can read" is more relevant than it first appears. The Iliad was originally meant to be performed, not read, as it was created rather before written communication became a common mainstay.
Daria: When I play this rusty old horn my soul flys free as a bird.
Daria's comment about her soul flying free as a bird may be a biblical reference. Although it's pretty common imagery, the earlier reference (about wandering in the desert) might indicate a connection. Specifically, with Psalm 124 "Our soul's escaped, as a bird out of the fowler's snare; The snare asunder broken is, and we escaped are."
Title Pun: The Big House
The Big House is slang for jail.
Quinn's "I will do this thing you ask, but one day I may ask a favor of you" line is a play on Marlon Brando's immortal line from the 1972 film The Godfather. (The line is in the opening scene, after the undertaker, Bonasera, asks Don Vito Corleone to take revenge on the punks that beat up and disfigured his daughter: "Some day, and that day may never come, I will call upon you to do a service for me.")
Jake's "There she is, Miss American Bookworm!" is a play on the theme from The Miss America Pageant ("There she is, Miss America!").
The Ten Commandments
Helen pulling out two tablets enscribed with the house rules is a parody of the Biblical account of Moses and the Ten Commandments, the most famous depiction being the 1956 Cecil B. DeMille film The Ten Commandments. This is also the origin of Daria's subsequent quip about wandering in the desert for 40 years, just as the Israelites had to do before God allowed them to enter the promised land.