Episode 1 has multiple awesome moments when we are introduced to the heroes (except Origami Cyclone who just appeared and stood there in the background behind Dragon Kid).
Episode 3 has both Kotetsu and Barnaby's solution to the Time Bomb's Wire Dilemma. First Wild Tiger punched a hole in the roof, then Barnaby kicks the bomb up through the hole to have it harmlessly blow up in the sky.
Bonus points for Kotetsu for throwing the camera, with which he was ordered to film the whole thing, in the air in such a way that it both captured him punching through the roof and Barnaby kicking the bomb away, making sure Agnes got some excellent footage to air.
Wild Tiger and Barnaby's fight with the boss villain.
Episode 10: Kotetsu running out of power during the fight on the bridge, but he continues to battle the small army of Mini-Mecha alone while the other heroes are busy dealing with attacks in other parts of the city.
Episode 11: Kotetsu bursts into the meeting room where the mayor, Judge Petrov, and the sponsor CEOs have convened to discuss the crisis situation, and - with Barnaby right behind him - calls them all out for dithering instead of taking action. He undermines himself a little (hilariously) when he has some trouble with the word "self-interests", but it's awesome all the same.
Episode 13: Kotetsu's Batman Gambit, Kotetsu healing himself with his Hundred Power, Barnaby kicking Jake so hard he breaks a rib, the three other active Heroes taking out Ouroborous' Mini-Mecha while Jake and Kriem are distracted, the look on Jake's face when he inadvertently makes Kriem's helicopter crash into him...the entire episode was full of awesome moments.
Episode 15: Sky High fights and defeats the robot that took out Tiger and Barnaby like it was nothing.
After all that is happening to Kotetsu, he still went after Lady Killer. Sure he lost, but still.
Lunatic's entrance and speech at the end of the episode was very scary but also very, very awesome.
Tiger manages to rescue his daughter despite his Hundred Power vanishing again.
Kaede running after her father as the train departs, discovering her NEXT powers in the process.
Kotetsu fights the "Black Suit Wild Tiger" without using his powers. He flips him over. Again, remember- without his powers.
Lunatic saving Kotetsu.
Origami Cyclone's surprise appearance.
Kaede. Just Kaede. The girl goes into Sternbild alone to save her dad.
Kotetsu, on the roof of Apollon Media, in his old outfit, cape blowing in the wind. He's outnumbered, he doesn't have his fancy suit and toys, and everyone has it in for him. What does he do? Strike a pose, of course! Made all the more awesome by the fact that he called them there himself—knowing all of this full well.
Kotetsu: All right, it's time to let out a...[chuckles] wild roar!
All the awesome stuff Kotetsu does without using his powers.