Akane & Gino's digital avatars in Episode 4. Akane's is a Super-Deformed version of herself, while Gino's is... a giant nickel. As in the American coin. That has "Liverty" spelled on it.
In Episode 6, Akane goes to Kagari to try to pry a bit more into Kogami's past as an Inspector. When Kagari wonders at her reasons for doing so he asks her if she just might be in love with him. Her response is the only time she laughs in the series.
It seemed like it was only the second time she had even seen alcohol, saying, "... You mean it's not for breathing fire?" The first time she'd seen it, Masaoka had used it to set off a building's sprinkler system, to disrupt holograms that the episode's perpetrator was using to confuse the team and cover his escape.
Akane doesn't want to talk about the Specimen murders because Kunizuka is eating and Akane is worried about making her lose her appetite. Kunizuka doesn't see the problem and goes on quietly eating her noodles.
Episode 7 sees Akane Eating the Eye Candy. She shrugs it off rather nonchalantly when Kogami asks if there's anything on his face.
Episode 8: While the specimen case is gruesome and horrifying, the tale of a corrupt politician that claimed he had no recollection of illegally altering his psycho pass being found with his brain removed and his hippocampus (the part of the brain responsible for memory) stuck up his backside is pretty funny.
In Episode 10, Kogami realizes that Yuki is the key to finding what they need to escape and tells her to Take Off Your Clothes. Yuki is indignant, but complies. She throws her bra at him... and it lands on his head. The best part is when he doesn't even react.
While mostly a dark episode, episode 11 has a rare moment of funny, when Masaoka stops an injured Kogami from running off...courtesy of a wicked headbutt.
In Episode 13, Kogami returns to work after being in the hospital due to events of Episode 11. When Yayoi asks about his injuries, Kogami says that he threatened to set fire to his hospital room if they kept him any longer. Kagari's response? "That's the Ko-chan we know and love." The kicker? Kogami says he was just kidding.
Episode 16: In addition to being an Awesome Moment for Akane, there is something beautifully hilarious seeing Makishima, who has just finished kicking Kogami's ass and preparing to kill him in the same manner as he killed Yuki, get taken down via Akane hitting him with one of his own helmets.
In a meta-example, Gen Urobuchi tried to avert what happened with Aldnoah.Zero, where he was repeatedly Misblamed for the show's direction when in reality his involvement was rather minor. An alleged livestream on Nico Nico Douga on Sept. 22, 2014 had Urobuchi stating "Don't blame me if people die in Psycho-Pass 2, that's Ubukata's doing!"
Mika thinks that Akane's Hue is messed up when she, Ginoza and Sakuya check the latter's home for signs of intrusion in the 4th episode.
Mika: Inspector, there's still plenty of time to save your hue with the right therapy.
Akane: Are you insinuating that I vandalized my own home, Inspector?
The mysterious "W.C.?" written on the wall is being investigated. Ginoza of all people is the first to suggest "Water closet", aka the bathroom. As Mika puts it, "If you have to go, then go!" It gets better when Mika and Yayoi's guesses get even more off-track with "World Cup" and "wild caught" (as in salmon).
In episode 7, Mika comes into the office late at night looking for Yayoi's help on the case. The look on her face when she realizes Hinakawa is the only one there is priceless. Then she grumbles, "I suppose you'll do." So where was Yayoi then? Answer: in bed with Shion.