Bad Boss: Asides from the usual candidates of Joker and Twoface (depending on the coin flip), Ulstarn managed to gain a global reputation in D.E.M.O.N. for making the Gotham City posting a dire punishment. He did this by virtue of his sheer paranoia and irrational logic, and operatives who return from Gotham are described as broken.
Bad-Guy Bar: The Iceberg Lounge. Also, they have instant messaging.
When the Iceberg gets burned to the ground, Vault quickly becomes the Rogue's new watering hole.
Battle Couple: Tim (Robin III) and Cassandra Cain (Batgirl II) are dating. Mind you she could probably snap his back over her knee.
Berserk Button: Any reference to Bruce being accepted as part of the Rogues' Gallery extended family usually sends him into a roaring case of Psychobat.
Beta Couple: Lois and Clark... in Clark's ideal world, Lois would be his wingman on getting the whole Bruce/Selina marriage thing happening. Unfortunately for him, Lois has got good survival instincts and knows not to tempt cat claws...
Cats Are Snarkers: This IS Catwoman we're talking about... Though Whiskers and Nutmeg, her two cats, also count.
Chickification: Poison Ivy. In almost every single Post-Crisis depiction of her character, she has a poisonous kiss, is a skilled chemist, and while less common, is able to psionically control all plant life. Here, however, she's pretty much just a gardener with pheromones, a weak control of plants and a massive ego. She needs to take magical steroids in order to pull off any large-scale manipulation of plants.
Talia is equally de-badassed. Master of armed and unarmed combat? Nope, can't even get into a non-lethal catfight with Selina without tripping over her own two feet. Genius-level intellect? Nuh-uh, can't even plan out something more complicated than a Missing Steps Plan. Skilled in managerial tasks and has helped keep both the League of Assassins and DEMON in the black for decades? No way, she can't even balance her checkbook and provide for her own welfare without daddy's credit card, let alone anybody else. Secretly undermined Lex-Corp during Luthor's stint as president, leaked Luthor's under-the-table dealings to Superman and blew the whole company out to Wayne Enterprises when the time came to take him down? HAH! She tanked that multi-billion dollar, multinational company all by herself, no motivation necessary! Seeing as how Talia is Selina's main rival for Batman's affections, this is blatantly intentional, especially as Talia ends up falling for an OC.
Surprisingly deconstructed. Selina balks heavily at every instance of Batman asserting that it has to be done his way, and Bruce slips into an Ax-CrazyKnight Templar version of himself, dubbed Psychobat by just about everybody, whenever Selina's criminal past comes around and flaunts it's presence in front of him. they considered breaking up once or twice during some of the harsher episodes. they're still absurdly in love with each other, but it's not all rainbows and kittens after they hook up.
Deadpan Snarker: Jason Blood. Just... wow. This is his reaction when Poison Ivy tries to green him: “Just because I look at you when you speak, you shouldn’t assume that means I’m listening to you or care about what you say. That’s just something I do to be polite.” Both sides of Two-Face start a fan club for Jason when they hear about this.
Also: "In the interests of proceeding before the fabric of space-time erupts into a flame of un-existence, let us say that I’m satisfied with your typically female and feline assurances uncorroborated by any rational explanation whatsoever."
Flanderization: Pretty much any woman Batman has ever been hinted at romantically besides Selina has had their negative personality characteristics played Up to Eleven so that they are nothing but annoying self-absorbed harpies or immature, irresponsible idiots; there is little doubt that this is entirely intentional. Character development eventually brings (some, but not all of) them out of this.
Genre Savvy: Greg "Giggles" Brady has this by the truckload. Joker gets that "let's kill all the henchmen because it's Thursday" glint in his eye? Time to take the hyenas for a walk! Is that Batman approaching? Better be the first one to fight him, because the last henchman standing usually gets used as a hostage or killed by Joker since they attacked the Bat last. He's a self-appointed "brawler" because the lookouts have a short life span.
Got Me Doing It: At one point, much to his consternation, Batman catches himself following Catwoman's lead in referring to Two-Face and the Riddler as Harvey and Eddie.
Green-Eyed Monster: All over the damn place. You can probably count the characters that get any amount of screen time and are never jealous of somebody's romantic entanglements on one hand.
Happily Married: Clark and Lois, of course. Bruce and Selina are also this as a practical matter, lack of rings or ceremony notwithstanding. Dick and Barbara as well, after the wedding.
Hard Work Hardly Works: Averted. Anybody who uses magic to do what regular hard work would also do gets a blast of Laser-Guided Karma to the face. Batman is quite aware of this, which is one of the reasons that he really hates magic.
Hyper Competent Sidekick: Sly, the bartender at the Iceberg. He's dedicated to keeping the bar up and running, and it's clear that he could take over the Gotham underworld if he put his mind to it (considering that in trying to keep the Iceberg afloat, he's executed an inadvertent coup d'etat over Penguin - twice).
I Need a Freaking Drink: The events of Dick and Barbara's wedding finally get Selina doing this. By the time thnigs settle down and Bruce finds her, she's quite tipsy (which basically means she talks a lot more than she usually does).
Ironic Echo: "It seemed like a good idea at the time." Said first by Selina to Bruce in "Normal", and by Bruce to Selina later in "Catfight".
Magic Versus Science: Given that this is a Superhero series, both have their merits and are given their due, but Batman's dislike of magic is proven valid more than once via Laser-Guided Karma: whatever you do with magic gets returned to you three-fold, generally in the most inconvenient time possible.
My God, What Have I Done?: Miriam, the owner of the local magic goods shop, has one of these when she realizes that Poison Ivy, the woman she just sold power-enhancing magic rituals to, is the same person that caused the forest trees to attack the Highland Games.
In "Riddle Me-Tropolis": How did Riddler get Superman welded into that giant robot at the museum?
Not So Different: Batman does not take it well when Superman points out that both he and The Riddler, by Batman's own description, are motivated by injustice: Batman by the fact that crime exists in his city, and Riddler by the fact that the idiots and bullies of the world are the ones who always succeed over genuinely smart people.
Parody Sue: Nocturna seems to be Chris Dee's take on this trope. Making her debut by robbing Batman and getting away with it? Check. 'Enthralling' the male half of the Iceberg with heady monologues about the night? Check. Obsession with seducing Batman with a wave of her arm and a monologue, ignoring the fact that the other villainesses, sans Catwoman, have tried and failed dozens of times? Natch. What makes her this instead of a bad Mary Sue is that she has absolutely no respect from the rogues, and is captured, literally, by being duped by the other villainesses into thinking Azrael was the better seduction target, with absolutely no effort expended by the Bat-crew. Her own husband even thinks she's a nutcase and wishes she'd never talked him into the Thief Of The Night/Nocturna gig, instead wanting to tour Gotham like a normal person.
Since Nocturna/Natalia Knight is a canon character, it can also be read as another giant Take That.
Refuge in Audacity: Catwoman doesn't like her press. What does she do? Open up an off-Broadway show where she riffs on her negative publicity.
Retcon: Everything about Catwoman ever written by Frank Miller and his spiritual descendants has been eviscerated, through the above concept: it's all published in a skanky newspaper (or a trashy biography) and not 'real'.
Take That: "Pussywhipped" makes it abundantly clear that Chris Dee does not like Frank Miller's take on Batman.
Canon developments the author doesn't like tend to be portrayed as more tabloid lies. These range from the existence of Nyssa Raatko to Killer Croc's cannibalism to Renee Montoya being a lesbian.
A bit of clarification for the final one above: the issue is not with Renee Montoya being a lesbian in the comics so much as the assumption that a female cop HAS to be gay, like a woman couldn't be both a cop and straight.
Not to mention that Montoya being a lesbian also came with running her life into the ground and a tendency to drown her sorrows in booze and casual sex, something which is Unfortunate Implications all on its own (the idea that homosexuals are inherently screwed-up people who can't ever be happy).
Team Mom: Slowly but surely, Catwoman is becoming this to the Bat Family, after being with Bruce for the last three years in-universe. This is most apparent by how she's mentoring Cassie in relationships with boys and sneaking into buildings.
Tsundere: Harvey Dent and Poison Ivy's relationship has this by the truckload.
Villain Protagonist: A large portion of the stories are primarily written from Catwoman's point of view, not that she acts particularly villainous.
Except when committing robberies just to show that she can, providing a location for the worst criminal element to congregate and lay their plans, or convincing Batman to funnel more crime into the poorest part of town while rationalizing that it's not like she has anything against orphans or anything.