Nekron from Blackest Night was intended to have this according to Geoff Johns, simply doing what he was created to do, which was bringing death to the universe and raising the undead, and being beyond understanding. However, his actions during the event such as controlling heroes' bodies as Black Lanterns with their consciousnesses being unable to do about it suggests otherwise.
Deadpool. Most of the time, he wants to do the right thing... the problem is, he's nuts. He doesn't always have the best judgment on what's right and wrong.
One early appearance of Doctor Strange's extradimensional enemy Dormammu portrayed him this way, with Doc realizing Dormammu did have a bizarre and alien sense of honor which Doc could use to his advantage once he understood it.
One of the Eternals books invokes this, a bit mixed with Beyond Good & Evil. It is set after the Super Registration Act is passed, and Iron Man is trying to get them to register, eventually saying that "you must choose a side." The Eternals' leader replies "Imagine that you find two kids fighting over who gets a plastic ball. Would you choose a side?"
Frank of Jim Woodring's eponymous Frank comics, and pretty much all the characters in the Unifactor. Their morality ranges from simple selfishness to extreme sadism, but without any reference to whether it's good or bad. There is some internal consistency for each character's morality, but not between the characters. The lack of words adds to their separation from moral norms.
Galactus was originally intended to be one of these. More recent interpretations have put him more into Above Good and Evil territory, with varying reasons for his planet devouring ways.
The Endless of Neil Gaiman's The Sandman show this at times, and at others are utterly human. Plus, each character's personality lends them different ways of dealing with the world. Dream shows this multiple times, such as not punishing a creature which dominates others dreams to create a 'nest' because it is simply acting in its own nature. Death never (well, almost never) interferes with the natural demises of anything, no matter how much she likes the individual and Destiny knows when catastrophic events will occur, and will only summon the others for a meeting about said catastrophes if his book says he does.
The New 52 version of Superboy sometimes has trouble understanding moral issues, as he hasn't really had much time to learn about it. He honestly doesn't understand why robbing a bank gets him complaints.
Dr. Manhattan of Watchmen is above it all. When Ozymandias is inquired about Dr Manhattan's political allegiances, he replies, "Which do you prefer, red ants or black ants?" When the reporter admits he has no preference on such a trivial matter, Ozymandias says that Jon has the same opinion about the factions of the Cold War.
It's debatable how canon this is (for obvious reasons), but in the Kingdom Hearts series, Jack tends to think of new experiences (such as the Heartless) in terms of how he can repurpose them into new Halloween surprises, but also tends to become quite disillusioned with them if it should ever come to light that it can actually cause people harm (such as, again, the Heartless).
This tends to happen with religions, both ancient and modern (not naming any names), between one another and internally. When someone gets perplexed by the seeming arbitrariness and contradiction of the dogma, the official answer tends to be that god(s) are incomprehensible and the problem is on your end. The best we can do is obey their inscrutable commands and hope for the best. This also comes up in response to the common question of why, in an ordered universe, bad things happen to good people. Many philosophies and religions recognize that the needs of an individual and the needs of the universe at large simply won't mesh up, and a transcendent being is probably only interested in the latter. So while it might look like your god/gods/spirits are cruel bastards for killing your family with that flood, a believer needs to remember that from a divine standpoint it was probably the right thing to do (e.g. the flood was a necessary evil, or death isn't actually bad, etc.). The Omniscient Morality License trope is all about this.
There's a play called Blue/Orange that deals with this people of this sort of morality, although the name ostensibly comes from a mental disorder one of the characters has that causes him to, among other things, see the insides of oranges as blue. Not the outside, nothing else orange, just the insides.
The girl mentioned in Tom Lehrer's "The Irish Ballad" is perfectly willing to murder her entire family in cold blood for the simple reason that she is bored, or that she doesn't like them to the point where her murders are referred to as "little pranks" but will not lie when the police comes to investigate.
In Look to the West, a central point of the whole project is to show how economics needn't necessarily been the defining ideological issue to risk nuclear war over. Here, the world's main ideological binary is based on culture: Societism verses Diversitarianism. The former is a sort of One World Order that aspires to unite humanity in a single nation, with a single culture, language, and religion presumably based on a synthesis of patterns found in cultures around the world, while stamping out pre-Societist cultures. The latter champions individual languages, cultures, historical viewpoints in the extreme; some hardline Russian Diversitarians, for instance, portray cross-national friendships as a form of mental illness. So it's not just an alternate history, but an alternate historiography.
In NES Godzilla Creepypasta, Face asks Yes/No questions to the player that vary from simple (Do you like dogs?), to stupid (Is water wet?), to incredibly creepy (Does it taste good when you bite a woman?) and his reactions to the answers seem to only make sense to himself alone.
Michel: Wait, you're saying you had me kidnapped, knocked out, tied up in a basement and dropped here on this bench because you wanted me to know how it feels when I turn to you on the fucking subway and say "hi"?
Red vs. Blue: The Delta AI claims that "good and evil are human constructs", and tends to focus on whatever produces the most logical, optimal, and courteous result. He'll do things like wish an enemy good luck, attempt to talk one into helping with a What Is Evil? speech, suggest Kick the Dog solutions, or even outright admit he might side with the enemy... while simultaneously performing acts of aid, kindness, self-sacrifice, and loyalty to his allies and bystanders as well. All with a blandly friendly, sincere, and non-malicious demeanor.
The demons in The Salvation War have some rather jarring morality. Since they are still basically in the Bronze Age, demons have a very rigid and honor based form of warfare that hasn't changed in millions of years. Cannibalism is considered fine for demons, and not eating the dead is considered "wasting them." They only torture humans because they are told that they need the human's "energy" to move onto their afterlife. All this changes when humans arrive.
The SCP Foundation has a few examples of this. One notable one is SCP-890, the Rocket Surgeon. He views mechanical objects as patients and humans as unnecessary flesh. However, he's a rather creepy example.
SCP-890: I did not [kill him]! My patient not only survived, but recovered quite nicely. If you're referring to the mass surrounding the patient, I left it in place at the patient's request; I suggested it be removed, but the patient was adamant it be left in place.
In a similar vein, SCP-049, the Plague Doctor. When someone touches him, they keel over for no discernible reason. The doctor then kills anyone nearby capable of interrupting his work, fiddles with the original victim's innards, and stitches them up. The process transforms them into rage-fueled zombies intent on slaughtering other human beings. His only recorded discussion with a human being reveals that while he's very affable and respects others trained in medical science, he either perceives something about most humans as a terrible plague, sees humans themselves as a blight, or thinks his touch of death is the disease he seeks to eradicate.
Most non-humans in Tales of MU, like mermaids, demons, and dragons, who each have no problems eating humans. For example: Iona, a mermaid, killed another student because she was in water, making her prey. In retaliation Vice-Chancellor Embries, a greater Dragon, devoured her and enchanted the one witness so she couldn't tell anyone.
Mercenaries in various stories of the Union Series. It's not about who commits massive war crimes or who plays knight in shining armor, it's more along the lines of being loyal to the original credit line versus switching sides for better pay.
This is constantly on display in Welcome to Night Vale, where the townspeople are Conditioned to Accept Horror and think government-induced plagues, human sacrifice lotteries, arming schoolchildren, and kidnapping the loved ones of voters in an effort to ensure "correct" voting is a normal, necessary part of American life. (Given the implications that Night Vale is barely holding back a variety of extra-dimensional horrors at any one time, they may not be wrong.) However, a barber cutting the perfect hair of the most beautiful man in town is totally cause to run that barber out of town. Also, a white guy wearing a cartoonish feather headdress and referring to himself as "The Apache Tracker" is still totally racist.
This is extra apparent in their conflict with Desert Bluffs, a town of equal and opposite horrors that are normal to them, but disturbing to Night Vale.
Rachel Lindt/Bitch couldn't care less about other humans, even kids, getting hurt, but don't harm dogs in her presence if you want to live, or at least avoid a mauling. It's strongly implied that her powers have changed her brain in such a way that she thinks more like a dog than a human, and her own POV chapters support this.
The Number Man sees entirely in terms of mathematics. "Normal" human things like fashion or morality are of very little interest or use to him.
alternative title(s): Orange And Blue Morality; Red And Green Morality; Green And Red Morality; Yellow And Purple Morality; Purple And Yellow Morality; Kaleidoscope Morality; Rainbow Morality; Complementary Color Morality; Infrared And Ultraviolet Morality