Every time Miharu clinging to Minami, this classical high paced music is actually a good one.
Ass Pull: The Class F Inquisition being able to increase their Avatar scores when they find out the class rep for Class B has a girlfriend. This is never explained, but probably occurred due to the Rule of Funny.
Broken Base: Whether or not Minami was redeemed or not in the event of her Day in the Limelight in Season 2. Some swear she's now the best girl in the school, while others still hate her with a burning passion.
Ironman is the wild card in the show, as he can allow battles in any subject.
He's surprisingly empathetic, intuitively understanding why Mizuki needs to alter her 2nd placement test. He also correctly guesses that there's an important reason for Yuuji and Yoshii's hijinks. See CMoA below.
Designated Hero: Most of Class F save for Hideyoshi consists of idiots, Jerkasses, or both. The worst offender has to be Minami, though. Shouko, however, manages to be the worst offender by miles.
Designated Monkey: The universe pretty much has it out for Akihisa. Even when he's done nothing in particular to deserve anyone's wrath, he ends up in the worst possible situation anyway thanks to circumstance.
Designated Villain: All the one-shot antagonists (the delinquent couple, Nemoto, the Tokonatsu duo, etc.). Sure, they are Jerkasses, but many of the main cast are far worse in that respect.
Die for Our Ship: Akihisa/Minami shippers call Himeji a one-dimensional Generic Girl, Akihisa/Himeji shippers call Minami an aggressive bitch, and Akihisa/Hideyoshi or Kubo fans call both girls terrible influences who should be nowhere within two hundred feet of Akihisa. And woe betide you if you actually support Yuuji/Shouko...
Dude, Not Funny!: The girls' abusive behavior towards the guys get more and more intolerable as time goes on to the point that, even though the abuse is still Played for Laughs, most fans just stare blankly at the screen wishing they could slap the girl some sense.
Fan-Preferred Couple: Among all of Aki's possible love interests, Hideyoshi is the most liked, due to being the only one that has yet to physically assault him. And as of the later light novels, the feeling is apparently mutual. To put it into perspective; even some non-yaoi fans want these two to get together.
Hideyoshi is actually in all aspects the most suitable love interest for Akihisa. He never abuses Akihisa, is pretty enough for him to swoon over, is a Nice Guy and the fact that he's male also means Akira won't bother their relationship. No wonder even non-yaoi fans want them together, as they are a perfect example of a non-abusive, healthy and loving relationship.
Foe Yay: A lot of people from Class A and Class F are usually shipped together.
Yuuji and Shouko. This is pretty much the only canon example for the fact that they're from different classes whose war with each other is central to the story.
Kouta and Aiko. Kouta may deny it at first, but his body language certainly won't.
Akihisa and Toshimitsu/Yuuko. Although the latter was only recent.
Mizuki, as far as Class F students go, having the brains of a Class A student.
Fighting Kouta in a Health and PE match is tantamount to suicide. His scores are so high in these subjects he can easily defeat Shouko, a Class A student and the best one in their year. Kouta actually kicks this Up to Eleven with the reveal that he has a score higher than the teacher of said subject. Too bad he can't pull that in all subjects.
Gratuitous Japanese: The English title leaves Baka untranslated despite being having plenty of suitable translations.
Idiot Plot: Mizuki getting sent to Class F because she had a medical emergency during the exam. Rather than taking the test again, she automatically fails.
Informed Wrongness: Akihisa in episode 10 of the second season. While he may have somewhat deserved the harsh treatment he got, he isn't the only one at fault. He may treat Minami like one of the guys, but that's partly because she's always beating him up, at times with only the slightest provocation. Not to mention, Miharu is one of the last people to tell Akihisa that he doesn't treat Minami well. Especially since she gave the What the Hell, Hero? speech right in front of Minami, and reduced her to tears.
Shouko Kirishima. She's the source of the most notable Double Standard: Abuse, Female on Male moments, and her obsession with Yuuji is at the very least, misguided, and at the worst, ungodly creepy. It doesn't help that she's quite a Karma Houdini, and the only time it looks like she might get some Laser-Guided Karma, it ends up working to her advantage. Notable in that her backstory does not excuse her actions at all.
MiharuShimizu as well. Season 2 made things worse in her case as well. She's awfully sexist, refers to people other than Minami as "disgusting pigs" and always accuses Akihisa of treating Minami horribly when she's even worse. And she doesn't really get better, unlike Minami. Her only saving grace is perhaps the fact that she's voiced by Ayana Taketatsu, but even then...
Strawman Has a Point: Nemoto's blackmailing of Mizuki using the love letter that she wrote in order to keep him out of the battle between Classes B and F is seen as extremely cowardly and underhanded by Class F, except for the small fact that it's entirely legal to do. It's nothing personal either, and no, Aki and Yuuji, it's not because she's a girl and he's a Straw Misogynist either. Considering what Serious Business class battles are, it's entirely justified as the class representative that he'd be doing whatever he could to make sure his class won. In fact, it's a bigger surprise that no one else thought of taking Class F's secret weapon out sooner.
Unintentionally Unsympathetic: The narrative frequently suggests viewers are supposed to feel some kind of sympathy for Shouko. However, due to her actions as mentioned above, many readers and viewers have lost the ability to empathize with her, and would prefer to see her get what's coming to her.
Minami as well. Despite Akihisa being treated as wrong for constantly pointing out her violent nature, her Hair-Trigger Temper only serves to prove him right.
Values Dissonance: The animators and some fans find the whole Double Standard: Abuse, Female on Male funny, but most fans certainly aren't amused by that. Many fans find it extremely annoying when Minami (and sometimes Himeji) abuses Akihisa too often, even for things that's entirely not his fault, and let's not even start with Shouko.
A lot of fans also express their displeasure at how horribly the girls' characters is written. Most of them have their purpose and goal centered around one guy only (Psycho Lesbian Miharu averts that but she's still a horrible girl), and they act as if that guy should only care about them and resort to abuse if he doesn't do as they wish. The best written so far is Aiko, but as mentioned in Base-Breaking Character above, it's still not enough for her to have many fans.
Abusing Akihisa is funny and sad at the same. And then there was that one time he took that history exam and got a zero because he wrote Alexander the Great where his name was supposed to be.
Shouko gets a rare one in episode 7 of Season 1, when she runs off stage in a wedding dress after getting mocked by another couple that she's got a stupid dream of wanting to be Yuji's bride. Yuji decides to have a little "talk" with said couple later on, and presumably beats up the guy, as he looks like he's been in a fight after he catches up with her later on.