Makoto: I'm Makoto Naegi and I'm a new student here at Hope's Peak Academy. I'm just your everyday teenager who was lucky enough to be invited to this prestigious school. I'm going to take this opportunity by the horns and bravely face every trial that comes my— * Smash Cut* Monokuma: Upupupu~ Makoto: D'aahh—
Compressed Adaptation: Lampshaded in the investigation montage. Lampshaded again when Leon, trying to avoid execution, points out that they've skipped all of his backstory. Monokuma points out that nobody cares.
Greg: Leon Kuwata is exceptionally good at baseball and very little else. Luckily, his bat-based skills are all he needs—so much so he's excused from being a complete moron otherwise!
This becomes a plot point, as Naegi explains to the class that only he was stupid enough to cover up a murder so sloppily.
Early-Bird Cameo: Hajime Hinata and Nagito Komaeda. When the latter appears in the character introduction video, Greg is less than pleased.
Komaeda: Did somebody say... hope?
Greg: What...? Komaeda, get lost. You're here way too early.
Komaeda: Oh, okay. I'll just be over here. Hoping.
Emotionless Girl: If one had to guess, they would say Kirigirinote Title: Super Duper High School Mystery Chick would be referred as such.
During "Meet The Students":
Monokuma:"Mention the fact that she's emotionless as crap!"
Even Evil Has Standards: In the Trigger Happy Havoc Trailer Parody Dub, Monokuma is horrified when the trailer goes about how "the Blackened will be punished" and quickly tries to remind everyone about how the game is not about ethnic cleansing.
Exact Words: Monokuma fulfills his promise of bringing the survivors a picture of 'What Maizono looks like under those clothes'. Turns out, it's just Maizono fully dressed and located under her idol costume.
Naegi's thoughts on Chihiro Fujisaki in the first episode:
Naegi: At this moment, I was aware of how adorable this girl was and how me wanting to hit that was both totally acceptable and something I'd never regret.
Leon Kuwata seems surprised that just committing murder isn't good enough.
After Junko gets killed:
Monokuma: Upupoops, My finger slipped. Anyway, that one doesn't count. No trial for her... probably...
Barely noticeable, but during the trial Kirigiri preemptively shuts down everyone's arguments against Naegi in a way that's at least somewhat courteous. Even when she cuts off Ishimaru, she explains that whatever he was going to suggest is impossible. When Leon tries to interject however, she simply gives him a cold "Shut up."
When Naegi reminds everyone of the (assumed to be) naked Maizono pictures promised to killers, Leon promptly asks Monokuma when they're going to get them.
After the first culprit is discovered, Celes gleefully anticipates a weenie roast.
In the Meet the Student extra, the introduction of Celestia says "Celestia Ludenberg, if that is indeed her real name..."
Episode 4 has Naegi and Aoi launching the Togami/Celes ship. Fukawa immediately protests.
Episode 3 has fully written out Maizono's message, complete with Gratuitous Japanese. Also, Maizono's photo at the end might need this treatment.
Episode 4 has Naegi's browsing history (in which he Googles pictures of Maizono with cup noodles on her head) and Togami's tumblr post.
The Friend Nobody Likes: Maizono is treated like The Scrappy by the whole cast except Naegi due to her weeaboo-ism and Faulerro enjoys taking potshots on her humorously. Both Greg and Hinata are disgusted with Komaeda and his hope obsession.
Funny Background Event: During Naegi's first encounter with Kirigiri, Asahina is faintly talking to Oogami about donuts.
The thousand-follower video, with game sprites on a black background, features this:
Hinata: As you may notice, I am currently stuck in a void!
In the first episode:
Togami: You're damaging the esteemed ears of Byakuya Togami! (introductory screen pops up behind him) See, that's my name.
Naegi: Oh, so we're acknowledging that thing, okay.
At the start of the first trial
Monokuma: OK, let's get this thing rolling!
Asahina: Whoa, kind of looks like it's spinning to me...
Les Yay: As Kirigiri points out, Monokuma offered everyone the same incentive of, what was assumed to be at the time, naked Maizono pictures. invoked
Monokuma: Don't act like you're not curious!
Kirigiri: You're more perceptive than you look.
Not only that, Maizono herself assumed the compromising pictures were of a drunken tryst with the rest of the Kawaii Choir. In court, after revealing the note inviting someone for a "sugoi booty-call":
Asahina: Based on what the letter said, doesn't that mean the killer has to be a guy?
Maizono: We got really down and dirty. We were lezzing it up!
At the end of the first episode, Naegi asks for a Super Duper High School title that everyone else have. The first one given was "Super Duper High School Good Luck", which is his canon reason for getting in. He then points out that it's "stupid and clearly inaccurate".
Leon's Villainous Breakdown of shouting "Asshole" degrades to just "aho", which he repeatedly screamed in the anime and game. Also, while trying to shout his way out of things he calls Maizono "retarded," which is the translation of "aho" in the Let's Play on Something Awful.
In Episode 4's Stinger, Genocider discusses her nickname, and mentions that, while the Internet came up with Genocide Jack, she much prefers Jill. Those are the names used in the Western version of the game.
Also from episode 4 (albeit probably by accident from Faulerro's part), Naegi uses a "Truth Bullet" to agree with another's statement, instead of disproving it. The mechanic was implemented in the second game.
The Nicknamer: Monokuma has a penchant for calling the students by certain nicknames, such as Hoodie (Naegi), Goatee (Leon), Frills (Chihiro), and Freckles (Junko).
Obviously Evil: They made Celestia Ludenberg even more of this trope than the original, by not only giving her the title "Super Duper High School Hellspawn", but occasionally interjecting her dialogues with her deep Satanic voice of 'monologue'.
Oh My Gods!: When he was given the penalties, Hagakure screamed out various names of deities, including Buddha, Vishnu, and Odin.
Painting the Medium: When Asahina interrupts Leon's introduction, she headbutts his Super Duper High School subtitle out of the way.
Political Correctness Gone Mad: Also known as Super Duper High School Shut-In, Touko Fukawa runs a Social Justice blog and is convinced Naegi is the killer in the first trial because he's "cis white male scum," despite being Japanese.
Oowada: FUCK YOU, TEDDY! *throws the Monokuma bomb away*
Raging Stiffie: Naegi gets one when he realizes Maizono must be in the shower. It doesn't last very long.
Right for the Wrong Reasons: After Maizono is murdered, during the trial Fukawa angrily remarks that only a male would be capable of something as terrible as murder, and obviously her reasons are wrong because she hates "cis white male scum". The culprit does turn out to be male, though.
Rousing Speech: Naegi attempts one after the death of Enoshima. But it was abruptly ended and the effects were reversed when Hagakure revealed that Maizono died in Naegi's room.
Monokuma: Hey, welcome to "who's Maizono's killer?"; the trial where everybody's a defendant, and your feelings don't matter!
Skewed Priorities: Judging from his Motive Rant, Leon is more upset that Maizono turned him down (and called him a weenie) than that she tried to kill him.
Surfer Dude: Downplayed. Kuwata uses quite a bit of Surfer Dude slangs (like "Yo, Mono-dude!" and using "Dude" quite a bit), but not to the extreme. Plus he's a baseball star, not a surfer.
Suspiciously Specific Denial: Chihiro Fujisaki is the "Super Duper High School Totally-A-Chick." Possibly subverted; Greg refuses to commit to calling Chihiro by either gender in order to avoid the wrath of Tumblr.
Sweet on Polly Oliver: Gender-inverted. When it comes to Chihiro, Naegi would totally hit that... but see above.
Throw It In: According to Faulerro's Tumblr, One of Junko Enoshima's original lines involved calling Monokuma "LamelamelamelameLAME" in typical Junko fashion. Junko's VA, EileMonty, improvised by having her call Monokuma "Lamelame-L-A-M-E-O-M-G-LAME".
Kirigiri: It adds up perfectly. Sayaka Maizono chose the most vulnerable person she could as a target for murder: a professional athlete who was several times stronger than her.
Leon:Dude! What total BS! That logic is hella whack!
Took a Level in Badass: It's subtle, but Naegi starts standing up to the others almost immediately after Maizono dies. When it comes time to prove Kuwata killed her, he gets noticeably more confident, as well as angrier and snarkier.
Trademark Favorite Food: Asahina has quite an obsession with donuts, so much that it's rumored that she literally can't live without them. Her title isn't "Super Duper High School Donut Nut" for nothing.
Asahina: I'm Aoi Asahina! I like sports, and donuts, and... that's it!
And she'd only say about things that sounds like or might be similar with donuts, like 'doorknobs' or when Togami just said 'done it'...
Bitch, what did you say about donuts?
Unholy Matrimony: Byakuya and Celestia seem to be shaping up to become this, if their dialogue between one another and their distinct pleasure at watching the others' in pain, as well as their executions, is anything to go off of. Even Naegi lampshades it.
You guys keep agreeing about horrifying things and relishing everybody else's misery! ... Seriously, when's the wedding?
Valley Girl: Junko, being a Super Duper High School Airhead, talks like this.
Your Answer to Everything: After assuring the students that hitting the iron walls a bunch will solve their problems, Mondo Oowada (His title's Super Duper High School Needless Violence, by the way) preemptively declared this trope applied on him. That, and Leon agrees with him.
Oowada: I'm sure if I hit 'em a bunch it'll solve our problems and yes, that is my answer to everything!
Leon: I was gonna say!
Turns up again during the first trial. Naturally, Leon is involved.
Naegi: He then disposed of the evidence the only way he knew how: throwing a round object at something.