Kohta Hirano's Took a Level in Badass moment in Episode 2, "Escape From The Dead," showing that even us otaku have some form of Chekhov's Skill that can come in handy during a zombie apocalypse. And the Anime Network dub doesn't hinder that in any way whatsoever.
Episode 5 of the anime, starting with a DOUBLETAP by Hirano when Takashi tosses him a .38 Special revolver he'd found, Hirano immediately shoots two of them who where coming up behind, only missing taking Takashi's head off by a couple of inches.
This entire scene is pure concentrated Awesome and is a vast improvement over the corresponding page in the manga, where they just randomly meet up again. The anime turns this reunion into a Moment of Awesome for Rei, a Moment of Awesome for Saeko, and two consecutive Moments of Awesome for Takashi...honestly, it has to be seen to be believed.
"IT'S. A. LITTLE. GIRL." The moment that showed that these kids really are heroes at heart, by braving a horde of "them" to save Alice after her father was killed. And they did it. And it rocked.
The Takagi family's mechanic making a last stand against the zombies armed with nothing but a wrench after ensuring the survival of the main characters.
Upon escaping the school, some of Shido's students complain about Shizuka's driving and say they should've waited it out somewhere in the school. When one of the students tells Shizuka to slow down, she hits the brakes and yells at him to back off. He does... only to rant on about being on the same bus as Takashi, tempting Hirano to take him out with his nailgun. Rei took care of the problem by whacking him across the stomach with her broomstick. So chalk one up for Shizuka and Rei.
Saeko admits that she was attacked by a rapist when she was younger and beat said rapist within an inch of his life.