Batman taking on the two bank robbers in the beginning clearly showed off his competence, skill, and combat prowess, as well as his relative inexperience and the brutality of this series (he actually had to pop his dislocated shoulder back into place during the course of the fight).
Right off the bat, Professor Pyg shows that despite being toned down for television, he can still be just as ominous and intimidating as his comic-book counterpart.
"I say, what a wonderful night it is for a Stagg hunt, wouldn't you agree, Mr. Toad?"
The quick analysis of the video Pyg and Toad posted on the Internet of their threat towards the kidnapped Simon Stagg and the other's on their list by Alfred and Batman definitely deserves a mention. It shows viewers how this series will have a lot more detective work to it than before, and that Batman will be using his intellect and wits as much as his gadgets and fists.
Alfred's surprise attack actually looking very real, even though he held back on account of realizing Bruce's injury and lax reaction-time as a result of the first fight. Say nothing of Bruce' dispatching him in only five moves.
The car chase between Pyg and Toad's buggy and the Batmobile.
Michael Holt deserves some recognition here as well, for being willing to tell Stagg off and help Alfred try to keep the three of them alive while Pyg and Toad hunted them down, not to mention risking his own neck to help the wounded butler escape while Batman dealt with the villains.
Batman's battle with Pyg and Toad in the abandoned oil rig. Both hero and villains shine in combat, but Batman fares far better than Pyg, and shows just how brutal a fighter he can be by giving Pyg a knee to the face after the villain's bonesaw gets lodged in the floor.
Bruce pulling off an impressive Sherlock Scan on Tatsu. Even she admits it's quite the feat.
Gordon finding Batman through some good detective work.
Tatsu's workout session.
Bruce subtly telling Alfred that the only reason he wins in chess with him is because Alfred is good and nothing less than his best will suffice.
The Batmobile proving to be both chainsaw-proof and acid-proof.
Tatsu managing to steal Bruce's fingerprints to access the secret elevator.
Alfred driving the Batmobile via remote control.
Batman and Anarky's fight near the end of the episode, not to mention how Batman foils Anarky's plot.
The Batcycle transforming into a Batglider.
Anarky's entire Leitmotif, which consists of classical instruments and sounds as if it was pulled right out of Sherlock Holmes.
Tatsu passing Bruce's test at the end.
The fight between Katana and Silver Monkey.
Alfred driving off Silver Monkey with a shotgun.
The Batglider returns, only to explode, thus allowing Batman to burst through Wayne Manor's security.
Special mention goes to Silver Monkey keeping the fact that Katana still has the Soultaker Sword from Lady Shiva.
Another one in passing is the fact that Tatsu got out of the League of Assassins by faking her death and it actually worked, at least until Silver Monkey saw her.
A subtle one in the form of Batman hacking Gordon's cellphone.
Batman deflecting the cannonballs by dropping a lamppost.
Batman's fight against the toy soldiers in front of Gordon's house.
Batman saving Whale and Gordon while running through a hail of gun and cannon fire.
Batman exposing Simon Stagg as the culprit responsible for Rex's transformation into Metamorpho.
Simon Stagg: You're done. I saw the whole thing. You murdered that poor, heroic man. Batman: Really? Those videos that you destroyed... (Plugs a flash drive into a computer which reveals Simon is behind Rex's transformation) Batman: Already sent a copy to the Gotham police. I'd get your affairs in order, Daddy.
Batman's fight with Metamorpho in Sapphire's penthouse.
Bonus points for Rex shooting lightning from his mouth.
Tatsu's fight with Silver Monkey in the limo.
Lady Shiva making her first physical appearance, then defusing Silver Monkey's attempted mutiny and showing just why she's a high-ranking member of the League of Assassins.
Tatsu telling off Batman after he explained that he used Tatsu to weaken the League of Assassins. She retorts that his plan failed, and that Bruce Wayne is dead, Bethanie Ravencroft is a soulless shell, and Lady Shiva has the Soultaker Sword. Cue Bruce revealing himself and saying that he regrets what happened to Bethanie, and that they'll get back the sword.
Also, although it isn't that surprising, Batman revealing that he knew the truth about both Tatsu and Bethanie.
Even after getting hit by two tranquilizer darts (in the neck, no less), Silver Monkey still manages to put up a fight against Lady Shiva's henchmen before being subdued.
Batman and Katana's Back-to-Back Badasses moment against the League's ninjas, then going head-to-head with Lady Shiva herself.
The Ninja's get two 1 for restraining both batman and katana and 2 for only 3 of them taking out silver monkey
Alfred saving Batman and Tatsu from Lady Shiva with a rocket launcher.
Batman: You forgot one thing. Lady Shiva: Did I? And what is that? Batman: The rocket. Lady Shiva: What rocket? (Cue a rocket flying towards Lady Shiva who dodges it and it hits the ceiling.) Alfred: (holding a rocket launcher) That rocket.
Jim Gordon punching Tobias Whale in the face.
Tatsu's Badass Boast on why she choose "Katana" as her codename:
Alfred: But that was your name in the League of Assassins. Tatsu: I know. When I'm beating the stuffing out of them, I want them to know who I am.