The reveal that Bruce punched Tim in issue #71 as a way to covertly tell the rest of the Bat-family to use more secure communications, since apparently Bruce trained his prodigies how to "communicate through blows". The only character that has even maybe applied to before then is Cass and even that is because of the horrible dehumanising training from birth that she received from her abusive father, not anything that Batman would teach her.
Thomas Wayne Batman somehow being able to take on the entire Bat-family (minus Bruce) all at once by himself and winning, despite being severely wounded. What makes it worse is that Cassandra Cain was among them (by that point, she was established to be an even better fighter than Bruce), which meant that she shouldve been able to take down Thomas by herself. It was also established that Thomass fighting skills were on par with Bruce, but not necessarily better than his. And yet, somehow, Thomas managed to take every single one of them on at the same time, including Cass, despite bleeding everywhere and being covered in wounds, while they were all in top condition.
"Everyone Loves Ivy" is this to both those happy with Poison Ivy's turn to Anti-Hero and those who felt she ended up Easily Forgiven. Ivy commits a massive case of Well-Intentioned Extremist by brainwashing the entire world, she is still shown to be acting out of severe guilt over the innocent deaths she caused and is painted as a tragic victim more than a monstrous villain. With Harley's help, Batman and Catwoman are able to save her, with Batman telling her that she's not a villain and being sent to a trauma centre to recover. While not everyone is fully satisfied, it's agreed to have been a decent way to appease both sides.
The Prelude to the Wedding tie-ins cover the reactions of some of the Batfamily to the wedding, something that had been been largely absent in the main book.
Mikel Janin's art is thoroughly praised, particularly his layouts.
Mitch Gerads' brief stint was also highly praised, with his art being considered incredibly versatile in how it switches between dark noir and romantic tones.
Lee Weeks has been doing some of the best work of his career.
Anti-Climax: One of the biggest criticisms of the run, is that King will build up what appears to be a dramatic culmination between Batman and many villains, namely Bane and Flashpoint Batman over every arc, only for the conflict to be resolved strikingly easy or through minimal battle. Initially subverted in the third "I am Bane", which has Bane on an absolutely furiousRoaring Rampage of Revenge and engaging in two absolutely brutal brawls against Batman, only for Batman to defeated him with a simple headbutt punctuated with "I'm Batman!". Double averted in that Bane feigned injury in order to be locked up in Arkham so that he could move on with his next plan. However, it's later reinforced by the following arc "War of Jokes and Riddles", where the titular war between Riddler and Joker comes to an end with Batman trying to strangle Riddler and getting shot by Joker, who regains his sense of humor after having lost it, which many fans found weak. And worst of all is the final arc "City of Bane" which sees Bane break Batman's back a third time and conquering Gotham by brainwashing the supervillains alongside Catwoman and Gotham Girl to serve as his enforcers and rendering Gotham in No Man's Land condition as the Justice League nor US government can intervene, while Thomas drags Bruce out into the desert to find a Lazarus Pit to resurrect Martha Wayne, and Batman telling him off and escaping and finding his way back to Gotham and with Catwoman's help, getting back into Gotham, and when seems to engage in a truly final confrontation, Thomas shows up to shoot Bane in the head and takes over his operation, and just as it seems he will be the real Final Boss, he and Bruce do not engage in a final showdown, rather simply lecturing him over why he shouldn't be Batman, and then getting ridiculously blindsided by Catwoman and knocked out by Bruce. And after being imprisoned in Arkham, Bane breaks Thomas' back as well. All in all, the run is said to be generally unexciting and heavily disappointing for this trope.
Gotham Girl. Some dislike her, as they feel fatigued at yet another young crimefighter joining Batman. Some don't think she's been developed well enough to warrant being the catalyst for the second and third arcs. Others, however, find her story to be appropriately tragic, and that she brings out Batman's best qualities in the end.
Poison Ivy. There is considerable debate over whether or not Ivy's HeelFace Turn and her portrayal of guilt over the people she killed in War of Jokes and Riddles make sense. Some argue that Ivy's a Well-Intentioned Extremist and an Anti-Hero, while others point out other canon stories in which she's been more willing to kill.
Catwoman is source of this two-fold; both in regards to how her romance with Bruce is written and whether she should be considered the benefactor of being Tom King's Creator's Pet.
Broken Base: Catwoman knowing Superman's identity. It's either a major breaking of the Suspension of Disbelief and just heavily cheapens Superman's need for an identity or a more realistic evolution of Catwoman's skills.
Arguably, the entire run after Issue #50. Depending on who you ask, in the subsequent arcs Tom King has either been at the top of his game or has completely gone off the deep end. Whatever the answer, you can expect it to be quite a strongly held opinion. It doesnt help that for the story to work, the plot has to become very contrived and requires a huge amount of Superman Stays Out of Gotham on the part of the other DC heroes to work.
Character Rerailment: Early oddities aside, Selina's depiction as someone who understands Bruce at his core and accepts him flaws intact is also a welcome return to form for a character that spent most of the New 52 having rooftop flings and being lectured by Batman.
Bane is depicted as both cunning (manipulating Batman into shooing away the Robins) and as an absolute powerhouse, beating down Batman in a Curb-Stomp Battle, disregarding his long-standing portrayal as Dumb Muscle.
Darkness-Induced Audience Apathy: While the premise of Bruce rising up to defeat his enemies after suffering a great deal is interesting, since it was done before to great success, the way it was executed this time was not. This involved Batman's familial connections severed in ways that will really pull a reader's Willing Suspension of Disbeliefnote Dick was shot in the head and became Ric, Jason shooting Penguin and exiled from Gotham by Bruce himself, now currently helping out Luthor, Tim 'dying' and getting punched by Bruce, Katherine shooting Clayface which caused a rift between her and the family, Alfred dying, etc... It doesn't help that Bruce has been the one that is mostly causing the rifts instead of trying to reason with his family that it looks like an Out-of-Character Moment for him. This can be explained with him depressed after the wedding fiasco and Bane and Thomas Wayne manipulating events to force Batman to be alone, but fans are just wishing for the arc to end.
Many fans are not amused by Bruce's declaration that only Selina can give him happiness, considering the above situation with his family and the fact that King tries to push this idea towards readers as the story progresses.
Die for Our Ship: With several arcs focusing on the Batman and Catwoman engagement, there has been considerable hostility from those who ship Batman/Talia Al Ghul, or Batman/Wonder Woman. Not helping matters is that King has included both of those characters, portraying Talia as a villain (a characterization that's been around since Grant Morrison's run), and Wonder Woman as a fleeting attraction.
Ensemble Dark Horse: Kite Man, for how simultaneously badass yet pathetic he is. He's shown to be surprisingly effective, but he's still a lame D-lister. His catchphrase also really helped. Notably, he actually got A Day in the Limelight, when Tom King gave him a new origin... which furthered his popularity for how well-written and tragic it was.
Growing the Beard: Despite the early mixed reception (see above), the general consensus is that "Rooftops" showed King off at his best, with a lot of pay off on "I am Suicide", a great depiction of the Batman/Catwoman relationship as well as the less hand-holdy narrative King is known for.
"Bat. Cat. Bat. Cat. Bat. Cat." Used to mock some of the repetitive dialogue, as well as the pet names Batman and Catwoman use to address each other.
"Kite Man. Hell yeah.", Kite-man's catchphrase gained popularity as he ascended to Ensemble Dark Horse, in part because of its tragic story. Nowadays it's not uncommon to see Kite-Man related comments on the internet without someone else replying "Hell Yeah".
"Knightfall of the Heart" or "Knightfall 2: Emotional Boogaloo", in reference to King's interview in which he explains that he's setting up a spiritual sequel/homage to the original Knightfall, this time with Bane wanting to emotionally break Batman, and doing so by manipulating an unwitting Catwoman into leaving him at the altar.
During the "War of Jokes and Riddles" arc the Riddler is shot by the Joker after he rejects his offer of joining forces to take on Bats. After recovering, he takes a shard of glass and carves a question mark into his chest, with the gunshot wound as the period. While supposed to be a dramatic moment, this was seen by many as unintentionally funny and a blatant attempt at making the Riddler Darker and Edgier. It doesn't help that during the rest of the storyline, the Riddler walks around with an open shirt for no apparent reason other than to show off his new scars.
Bane and Thomas Wayne repeatedly saying how they've broken Batman after every action they've taken. While effective in certain moments, they say it so often it eventually loses all meaning, and just becomes comical.
In the middle of the City of Bane arc, Bruce and Selina go on vacation on a tropical beach while everyone else is fighting for their lives.
Bruce and Selina having sex on a rooftop on a pile of diamonds is completely ridiculous, but somehow works due to the history and love between them, especially how sweetly it was portrayed.
Batman defeating Bane on a splash page with a headbutt while saying "I am Batman" is totally cheesy, but boy was it cathartic.
They Wasted a Perfectly Good Plot: It's generally agreed that the general idea of "The Gift" story arc (issues #45-#47), where Booster Gold goes back to the night Batman's parents were killed and unintentionally leads to the present changing due to For Want of a Nail, is a good idea...but the arc does so by having Booster stop the murder of Bruce's parents, which makes Booster look like a moronnote not helping that he cites the actions of Mongul during For the Man Who Has Everything as an inspiration. Why not have Booster take Bruce back to the night of his Parents murder one last time (which he does end up doing as part of a plan to revert the timeline) and either have Bruce panic and save his parents, or have Bruce take a photo with his Parents so he has a memory of him with them as an adult, causing them to show up in Crime Alley after the time they would've been killed, and have that change the present?
From "I am Gotham", nobody was expecting to see Psycho-Pirate of all people, given his status as someone tied to the Multiverse and various Crisis and not so much regular Batman stories.
A lesser case, but still a major one: Saturn Girl's continued presence in Arkham Asylum. Since she was found in Metropolis and is more tied to Superman, people were expecting her to appear in one of that line's series.