Batman's Rogues Gallery has enough characters who fall under Idiosyncrazy that it's probably easier to list the ones who aren't of such kind.
- The Riddler (Edward Nigma) and riddles. It originated as a harmless theme but became Darker and Edgier as the years went by: Riddler suffers from OCD and narcissistic personality disorder, and has to leave puzzles to prove how smart he is (he's even been given a Freudian Excuse in the form of a father who, not understanding his son's intelligence, beat him, giving Nigma an obsession with expressing his smarts in convoluted ways). In one instance, the Riddler thinks that he's found a way around his compulsion by leaving notes instead of riddles, but Batman discovers puzzles embedded within the notes that Nigma didn't intentionally leave — in other words, he's so mentally ill that he doesn't even realize when he's acting on his compulsions. However, he's sometimes able to make this work for him: sometimes, the obvious answer to his clue masks the real answer, which is much more difficult to figure out.
- Cluemaster, the father of Spoiler, felt a compulsion to leave clues behind at the crime scenes, but he eventually got over it and stopped — leaving clues, not committing crimes.
- Two-Face is usually compelled to commit crimes based on the number two, the concept of duality, or the theme of chance. Whether or not he kills a given individual is often determined by the outcome of a coin toss. He also has a tendency to get law-court and criminal justice-themed crimes, reflecting on his origins as a former district attorney driven to criminal insanity by his deformities, but this is a much less frequent motif.
- The Joker, Depending on the Writer, may only commit crimes based on the theme of jokes, pranks, clowns or comedy. Alternatively, the crime itself must be "funny" (albeit according to the Joker's own highly warped sense of humor).
- Back in the day, the Joker also had a compulsion to leave clues to his future crimes.
- The Film Freak only commits crimes that are re-enactments of famous movie scenes.
- The Calendar Man (real name Julian Gregory Day) commits a different crime each day, but will re-create that crime exactly, one year later to the day.
- In other instances, Calendar Man is relatively sane and calm for most of the year... except on holidays, when he always commits some horrific themed crime (such as cutting a woman's brake line on April Fool's Day as a "prank" or attempting to blow up a maternity ward on Labor Day). In the Batman: Arkham Series, he tries committing crimes on more obscure holidays, both as a change of pace and perhaps to become more unpredictable to the authorities.
- Batman: Black and White, appropriately enough, has the Black and White Bandit (real name Roscoe Chiara), a Mad Artist who became obsessed with black and white after going colorblind. He's got a skunk stripe in his black hair, he has a Dalmatian named Domino, steals things like antique chess sets, etc.
- Joe Coyne's backstory seems to use the word pennies as much as possible. First he grew up penniless and sold newspaper for a penny. As an adult, Coyne was fired from his job for "penny pitching". Then when Joe Coyne attempted to burglarize a story, not only was he caught by the police ("coppers"), they also rubbed it in that the cash register he was trying to rob only had pennies inside. Thus, to get back at "coppers and pennies", he launched a career as the Penny Plunderer. It was a very short career which Batman ended on his very first outing when the Penny Plunderer proved unable to operate a PayPhone that only accepted nickels, but Joe's theme outlived him; he (not, as is often assumed, Two-Face) provided the giant penny that became a fixture of the Batcave.
- The Silver Age version of the Mad Hatter — the one with the red handlebar mustache — centered all his crimes around hats and other headgear. A more consistent motif for the Mad Hatter in general is theming his crimes around the works of Lewis Carroll — especially Alice in Wonderland. This particular focus is also shared by lesser villains Tweedledum and Tweedledee (who often work together with the Mad Hatter as a result), and by Batwoman's arch-foe (and sister) Alice.
- Crazy Quilt (who's technically more of a Robin villain than a Batman one) was an artist who was also something of a cat burglar on the side. When an accident made him go blind, he opted for experimental surgery that restored his vision but distorted his perception of color. He then went crazy and became obsessed with color.
- Zig-zagged with Catwoman: while she was introduced focused on cat-related loot, she dropped the fixation quite early on. She still likes to go after cat-themed valuables, but it's because she appreciates the joke, and she is much more focused on just getting anything that is sufficiently valuable and challenging.
- Also zig-zagged with the Penguin; introduced with a fixation on committing umbrella-based or bird-based crimes, that angle was dropped, and he came to usually be portrayed as just a portly sociopath with a high opinion of himself.
- Maxie Zeus is a gang leader who believes himself to be the reincarnation of the Greek god Zeus, which informs both his criminal persona and his choice of crimes, always relating back to Greek Mythology or electricity in some way. He is not. It's almost laughable given that the Greek Gods' existence is an established fact within the DC universe, what with a well-known superheroine tracing her origin back to Greek Mythology. The key word being almost, as he's very intelligent and resourceful despite his delusions.
- Poison Ivy is typically portrayed as what happens when this trope meets up with Eco-Terrorist, as many of her crimes revolving around committing extreme acts of violence or terrorism either to steal rare plants or to "avenge the suffering of plantkind" upon humanity.
- Zig-zagged with the Scarecrow, whose crimes tend to be split about 50/50 between "using fear gas and other means to terrorize others to ostensibly continue studying fear" and "steal the funds to be able to make more fear gas".
- The minor villain Magpie is a jewel thief with a particular obsession with gemstones or other valuable objects named after birds.
- The Silver Age villain Mirror Man was, as his moniker suggests, obsessed with mirrors and how they could be used to commit crimes.
- The first Ventriloquist, Arnold Wesker, is a variant of this; while he doesn't have a specific motif to his crimes beyond "getting rich", his entire criminal personality is built around a serious case of dissociative identity disorder, causing him to legitimately believe that his secondary personality, "Scarface", whom he associates with the ventriloquist puppet he's always carrying around, is both the "man in charge" and an entirely separate individual. In layman's terms: he really, truly thinks that the puppet is the one giving orders. And depending on the comic, he may not be entirely wrong.
- Downplayed with Basil Karlo, the first and most famous Clayface, who is sometimes portrayed as having a tendency to commit crimes themed or otherwise based around movies, especially his own movies.
- Cornelius Stirk is a downplayed example; his motif revolves exclusively around murdering victims by terrorizing them to death, then eating their hearts, as he suffers from the delusion that he must do so in order to survive.
- Similarly to Cornelius Stirk, Victor Zsasz is a murderous Straw Nihilist who kills people and cuts tally marks into his skin with an obsessive-compulsive enthusiasm.
- Firefly always, always commits crimes of arson. Not just because he's an arsonist for hire, but because he's also a pyromaniac who gets off on burning things.
- Humpty Dumpty is an unusual overlap of this and Tragic Villain. He always commits acts of deadly sabotage... in the name of fixing things that inconvenienced him, and that he thus believed were "broken". He didn't want to hurt anybody, he just did a terrible job at fixing things. Even when he murdered his abusive grandmother and badly sewed her corpse back together, he did so because he's too mentally deficient to really understand he was doing something wrong.
- Lock-Up is a psychopathic would-be vigilante driven to crime to punish lawbreakers that he feels the government was too soft on; his crimes therefore are always done against other criminals, and revolve around capturing, imprisoning, torturing, and sometimes even killing those that he feels are guilty.
- Doodlebug is a Mad Artist who murders people to use their blood to scrawl repulsive artistic murals... which are actually arcane sigils and glyphs stemming from his knowledge of Black Magic.
- Jane Doe is what happens when you cross this trope with an identity thief. She's so obsessed with living a better life that she targets individuals at random, memorizes as much information about them as she can, learns to mimic their voice, then murders them and skins their corpse to wear as a costume so that she can perfectly imitate them. Inevitably, she gets bored with the problems of her latest victim's life. So she goes hunting for another life to steal...
- While most of Batman's opponents who suffer from this trope debuted in the Golden and Silver Ages, the Absence, aka Una Nemo, is an example who debuted in 2011! She's obsessed with leaving holes in things, and in stealing precious items, since she was driven mad by a combination of nobody caring about her absence and her surviving a comic-style case of Dandy Walker Syndrome, leaving her with a softball-sized hole straight through her head.
- Some of the villains made up for the 1966 Batman (1966) TV series make Batman's comic book rogues gallery seem calm and subdued by comparison:
- Egghead (Edgar Heed) was a big-headed bald guy who considered himself "the smartest man in the world" despite his obsession with egg-based crimes.
- King Tut was a guy who got hit on the head and started to believe that he was an Egyptian pharaoh, and of course is obsessed with Egyptian stuff.
- False-Face (Basil Karlo) ingested a chemical formula that let him change his face any way he wanted, but at the cost of his own identity, so he started committing crimes involving forgeries and impersonation.
- In the Batman: The Animated Series episode "The Clock King", Temple Fugate is The Sociopath without any emotion, whose only interest in the world is being a Schedule Fanatic, clocks and time: he uses a Time Bomb triggered by an expensive watch, has an Abandoned Warehouse with a room full of clocks, and conducts a Bank Robbery by messing with a time lock. All these tropes are exploited to lure Batman into a trap: Fugate acknowledges his obsession, and uses it against his enemies. The real Evil Plan is to kill someone in a Clock Tower with the clock hands.
