"I still loathe the world of the so called wholesome citizens, but I enjoy working as an Enforcer. Not as a shield for them, but as a hound for Unit 1 of the Criminal Investigation Department with the Public Safety Bureau where there're Kou-chan, Akane-chan, Gino-san, Kunicchi, Pops, sensei... The place where all of them are is the place where I belong."
When Kougami is restricted to HQ to keep him from interfering the Makashima case, the other Enforcers secretly aid him in his escape from HQ. Also, in the same episode, Akane admits to Kougami that his desire to be a detective rather than a hound was what motivated her to stay as an Inspector.
At the end of episode 10, Ginoza is berating Akane for continuing to believe that Kogami was in danger rather than sharing Ginoza's opinion that he ran away. When Kogami finally radios in to report what happened, the way her face lights up upon her faith in Kogami being validated is easily one of the anime's most "DAAWWWW" inducing moments.
In episode 18, when Akane falls asleep in her chair waiting for Kougami to wake.
Also, when Kogami comforts Akane after its all over despite being on a stretcher.
Shion comforting Akane in episode 19.
From episode 19, the picture of Masaoka and young Ginoza in happier times.
Mixed with Tear Jerker, Episode 21 has Masaoka's last words confirming his love for his son Nobuchika Ginoza, despite the falling out they had in their relationship.
Episode 22 has Akane keeping her ideals even after everything that happened, and telling the Sibyl System that humans will always strive to make the world better. Akane also says that people won't need the Sibyl System one day.
Another moment from Episode 22 is Ginoza talking to his father's grave, finally understanding and loving him.
Kougami carrying Akane to safety. What makes it even more heartwarming is the fact that he's in the middle of pursuing Makishima. Even after throwing away his life as a detective for revenge, he still prioritizes her safety above killing Makishima.
This. After the show's ending, while on the run from the authorities, Kougami takes a moment to call Akane just to let her know he's okay. He also tells her not to be surprised if she finds his dead body someday, but she refuses to think like that, hoping that one day they'll be able to meet again, not as Enforcer and Inspector, but as regular people. Also doubles as a big Sequel Hook for the second season.
A small moment near the end of the Rikako Ōryō arc: Despite being a world where submission is demanded and Bystander Syndrome abounds when a teacher sees Kougami pointing his dominator at one of his students he doesn't hesitate to physically stop the enforcer from shooting her, even though the gun is obviously in its "Lethal" setting which means the girl is an active danger to society (and has already murdered some students). I don't care how much her family was paying for their daughter to go to the school, this man shows enough human decency that he will throw himself in harms way (both physically and legally) in order to protect his students, no matter how guilty they are or how cloudy their psycho pass has become.
It's small, but in Episode 22 when Makishima is in the truck in an attempt to escape and Akane is hanging onto it, Kougami actually shouts her first name in a moment of shock, rather than Inspector Tsunemori or just Tsunemori.