The Series

In the Pilot, Hanson is on a sting. A drug dealer holds a gun to his head and accuses him of being a cop.
Hanson: Then pull the trigger.
Hoffs holding two guns, after already being shot at, and calmly talking down a high school girl.
I'm a better shot than you.
Draw the Line: when Booker, who up until then is played as a bit of a jerk and is now hated by Doug for having arrested Hanson, is the one who takes action to clear Hanson's name: getting Hanson out of prison, and spending a whole day off work trying to solve the case, and in the end solving it - putting the real suspect away and freeing Hanson. It turns into more of a Tearjerker though when he is disciplined by the police force for acting against the rules when helping Hanson, and he then quits the police.
Orpheus 3.3: Hanson's pulling himself out of the Sanity Slippage he first seemed to go into after his girlfriend is murdered, and going to find and arrest the murderer.
Penhall adopting Clavo. After the Tear Jerker of his wife being deported, and then the even bigger Tear Jerker of his finding out she was murdered, he doesn't let this awful experience—and the Nightmare Fuel experience of his visit to El Salvador—get him down, but makes something good out of it by giving a young boy a better life. And bonus points for the new situation not just helping the boy, but also Penhall himself—being a father makes him mature greatly.

The Film

Schmidt and Jenko screaming the Miranda Rights in unison to the Big Bad at the movie's climax.
- And as soon as they finish, they give a simultaneous "Fuck you!"
THE ENTIRE LAST HALF HOUR OF THE MOVIE. From the epic shoot-out to the car chase to the explosions to the above example. it is just one long Crowning Moment Of Awesome.
Jenko using his newfound knowledge of chemistry to create a bomb that kills Domingo and his crew.
"You peaked in high school, motherfucker."