These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
YMMV: Allen Gregory
Audience-Alienating Premise: Specifically, turning Frasier Crane's worst attributes Up to Eleven, putting them into a seven-year-old, surrounding him with similarly huge Jerkasses at home, and then sending him to terrorize a primary school which contains a huge number of its own Jerkasses. It also contains a recurring subplot about Gregory attempting to date his principal, who is in her 70s.
Bile Fascination: For many, their interest in the show is because of seeing how bad it is.
Designated Hero: Allen. Granted, almost no one in the show was even remotely likeable but he takes the cake; he's rude, lecherous, arrogant and manipulative, and we're apparently supposed to think he's funny and someone we should root for.
Ensemble Darkhorse: Julie and Jeremy, for being rather sympathetic. Also, Sheila, Allen Gregory's biological mom, except not really, for her being a competent mom and humiliating Allen Gregory.
Fridge Horror: There's a lot of this in the De Longpre household: Richard basically blackmailed a straight man into being his lover. And Allen Gregory just assumes that this is what relationships are like.
The superintendant openly sexually harasses and is implied to have date raped Gina. He's never received any comeuppance for these actions. Likewise, Allen acts like this is perfectly normal and often laughs at the superintendent highly amoral antics.
Ho Yay: One-sided: Allen wants to be on Joel's good side, oblivious that he doesn't want any of it.
Les Yay: In Gay School Dance, Beth and Val are pretty much the only students who seem to enjoy the setup.
The Scrappy: Allen Gregory, as well as his father Richard were not well-received by the show's audience.
Uncanny Valley: The characters look off, especially Allen who looks way too much like a ventriloquist dummy.
Unfortunate Implications: Played for Laughs, natch. Richard is pretty much every negative stereotype and right-wing gay agenda conspiracy theory, minus the conspiracy part (adopts a child for all the wrong reasons and badly mistreats her; raises his artificially created biological son to be as perverse and amoral as himself; rapes and "converts" a straight, All-American family man) taken Up to Eleven. This was done with very little irony.
Unintentionally Sympathetic: We're supposed to think Julie is a spiteful, irritating girl. However, given that she receives far more than her share of hatred and mistreatment, to the point her own friends think nothing of mocking her, it's hard not to feel sorry for her. It doesn't help the creators's efforts that she's one of the few genuinely funny characters present (Rowdy C compared her to "a preteen Daria Morgendorffer").