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.
The second opening, Out of Control counts as well, and the second ending, All Alone With You, does a good job at just being depressing. Which is awesome in its own sort of way, considering the show's general mood and setting.
Both endings are performed by EGOIST, the musical project by Ryo of Supercell and vocalist Chelly.
Half of the fan base sympathizes with Akane. Saying that her breakdown and inability to rescue Yuki from Makishima's clutches was completely justified. Having the system that you had so much faith in let you down cannot be a good experience after all.
The other half of the fan base gives her A LOT of flak for it.
Akane herself was seen as one right from the first episode, due to her character design being considered ugly and/or odd-looking compared to the other characters, and being seen as naive and incompetent. The first episode's Info Dump makes it seem like she signed up for a job she has no clue about.
Kougami and Makishima. It's very obvious since the first episode where Akane narrates that they're destined to meet each other and it doesn't really help where Senguji said that whenever he mentions Kougami's name to Makishima, it made him smile.
The novel offer some (one-sided) Foe Yay basis for Choe and Kagari: when Choe hears Kagari's voice for the first time, he notes that he sounds young and wonders whether Kagari is good-looking, too. This is never mentioned in the anime, but it certainly gives their conversation an interesting subtext on Choe's part.
"Funny Aneurysm" Moment: Episode 10 features a man hunting humans for sport... and aired in Japan just a day before a horrific school shooting in America.
Episode 19 reveals that about 99 percent of future Japan's food supply is based on genetically engineered "Hyper-Oats"; even, presumably, the meat products people have been shown eating. Again, the same week this episode came out, there was a lot of press about that a lot of mass-produced food products throughout the world are not what they seemed; horse meat popped up in some of Europe's meat supply (as well as IKEA's meatballs), and Anheuser-Busch brewers were charged with significantly watering down their beers.
Jerkass Woobie: Ginoza. His view on Enforcers as "dogs" and trust on the Sibyl System completely is due to fear of being demoted into a latent criminal which already happened to his father and his partner. It doesn't help that his Psycho-pass is slowly getting cloudy and eventually, he did ended up demoted to Enforcer after watching his dad died to save his life.
Les Yay: The second episode has an instance where we see Yayoi walk out of a room while adjusting her clothes. Meanwhile, inside the room, we see Shion putting on her stockings while laying on a couch before sitting up and lighting a cigarette. Hmm... Following this is Shion commenting that Akane is cuter than she expected.
Episode 6 has a lot of this. First we have a scene where Shion and Akane are discussing a particularly gruesome murder case while Yayoi is eating her lunch in the same room. Akane apologizes to Yayoi, thinking that the subject matter might have made her loose her appetite, but Shion remarks that plastinated bodies won’t faze her at all, "since she’s into more violent and passionate stuff". Yeah. Also, several scenes in this episode (and the couple of following episodes) take place in an all-girls school, which means there is even more Les Yay to behold, but with a... twist. See Fan Disservice on the main page.
Episode 12 has Yayoi (notice a pattern here?), sharing some very romantic, tender moments with a singer named Rina, complete with Yayoi looking at her longingly while the Gaussian Girl effect comes into full play.
Episode 22 finally cements this by explicitly showing Shion and Yayoi naked and in bed with each other.
Tomatoes in the blender. Explanation A really disturbing—or hilarious—usage of symbolism instead of actually showing us the disposal of a murder victim’s body
SPOOKY BOOGIE Explanation The way the Japanese cast pronounced this name was either awesome or terrible.
2Spooky4Boogie Explanation A mashup of the first meme with this one.
Moe is banned, No Moe allowed, Anti-Moe, etc.Explanation An interview with the staff behind the show revealed that the director (jokingly) banned the word “Moe” during the production, as a way of countering the current Moe trend found in recent anime.
No moe they said. Explanation Used ironically while referencing anything in the show that can be interpreted even vaguely cute, from the Uncanny Valley holograms to just about anything Akane does.
So who’s going to die first? Explanation Gen Urobuchi isn’t known as “Urobutcher” for nothing—people were placing their bets on who’s going to kick the bucket first even before the show aired!
"We have detected that you are experiencing a great deal of stress." Explanation (spoiler) One of the Uncanny Valley-faced police drones asks this to a woman who is literally being beaten to death... on a crowded city street. No one comes to help her.
HYPER OATS Explanation The constant mentioning of "hyper oats" in Episode 19, something completely ridiculous sounding said in the most serious tone ever. It is usually matched with pictures of a smiling Kougami. http://www.tumblr.com/tagged/hyper-oats
Paranoia Fuel: The whole notion of "quantifying" mentalities and arresting potential criminals (and occasionally executing them) before they've even committed a crime. (Yes, it's been done before, but that doesn't make it much less scary of a concept). And to make matters worse, even an innocent victim can have their Psycho-Pass hue clouded and their Crime Coefficient raised simply by the emotional stress of being victimized, to the point that they themselves can end up targeted for law enforcement action. Nor are Investigators safe, since the better they understand the criminal mind, the more it affects their own Crime Coefficient, and at least one Investigator has been demoted to Enforcer by getting so caught up in a case that his Crime Coefficient skyrocketed.
Rooting for the Empire: Some fans have decided that Makishima is justified in trying to bring down the Sibyl System. Considering the Sybil System is one of the most corrupt things in fiction...he's kind of right.
Ship Tease: Small amounts of it for Shinya and Akane throughout the series.
They Wasted a Perfectly Good Character: Yayoi does not undergo any important event or do anything of importance for the entire series. Some viewers were bothered by how she appeared to be there just for the Les Yay. It's really telling that if she had never existed, the plot would not have been affected in the slightest. She was the only Enforcer to get a full-fledged flashback episode, and even that didn't tell us much about her.
Choi Gu-Sung. Although he was important plot-wise, he never got any Character Development or had his motives explained. Especially disappointing because Korean characters are so uncommon in anime. And in the context of this show, doubly disappointing because he was the only foreign character, full stop: it would have been interesting if he had provided some context on how other countries view Japan's Sibyl System.
His character gets developed in the novel version but considering what it says about him, it was censored due to what happens to his country is close to what happened in real life.
True Art Is Angsty: Implied. Artists often register higher Crime Coefficients. Given that the Sibyl System adjusts crime coefficients based on how mentally agitated a person is, it is likely that the System views the world with this trope.
The Super-Deformed holographic avatars used by the police in crowded settings. They're probably intended to assuage people's fears when the cops show up, but like most things that fall into this trope, they instead look rather unsettling.
Senguji externally looks like a human, but he's almost completely a cyborg. This is most evident during his interview in Episode 9, where his eyes are completely unblinking and hollow, while his smile looks unnaturally stuck on his face.