In the TV series, the goddesses generally wear less noticeable getups among normals; in the second episode, Belldandy's outfit garners an amused reaction from a little girl. She promptly changes it via magic and freaks the kid out.
In the first episode of Amagi Brilliant Park, Sento Isuzu suddenly pulls a gun on Kanie in public and threatens him into going on a date with her. The passerby stare for a few seconds and then continue about their business.
In Anatolia Story, while Yuri's appearance is commented on (namely that she's short, pale, and has dark hair), one would think a Japanese woman from modern times showing up in a Bronze Age society in the Middle East would garner a little more notice. Doubly so since the manga has Yuri drawn as looking distinctively different from the other people of Anatolia, most of whom are considerably taller than her and have lighter hair.
Early in the series, when all of the action still happened on Earth, gigantic undead monsters were routinely tearing gashes into buildings in downtown Tokyo. The Hand Wave is that said giant monsters are Invisible to Normals and they use memory manipulating magic to provide rational explanation for the damages, which Fridge Logic suggests is unlikely to satisfy the forensics teams or the insurance assessors.
Why hasn't any character ever commented on Nnoitra's spoon getup? Every other character wears moderately normal clothes for the setting, but Nnoitra's outfit is downright bizarre. (Nnoitra's not exactly the friendliest guy on the planet, so possible they just don't want their ass handed to them.)
When the shinigami team lead by Hitsugaya comes to Karakura Town, although the students make comments on everybody's appearances (Renji's tattoos, Hitsugaya looking like a kid, Matsumoto's large chest, Yumichika's feathers and Ikkaku's bald head), nobody but Keigo questions why Ikkaku is carrying a wooden sword around (in response to Keigo, Ikkaku threatens him, which is probably why nobody else brings it up).
A good example would be that nobody really seems to care about Sajin Komamura being a humanoid wolf (characters mistake him for a dog but aren't bothered by - in fact, Komamura is the most bothered of all). A few characters mentioned noticing it, some villains taunt him for it, and the omakes pinpoint him as being an animal lover partially because of it... but not one person ever asks him what exactly he is. One of the databooks states that despite giving up his helmet which hid his face, "no one seems to care or notice".
Bludgeoning Angel Dokuro-chan parodies this relentlessly. People sometimes laconically comment about the results of her actions as if it were normal and she had nothing to do with it, but mostly they don't even notice. On the other hand, they do pay attention to the minutiae of Sakura-kun's behavior the exact moment it becomes embarrassing. They'll notice Sakura fantasizing about Dokuro-chan, but they won't notice her tearing him in half and then resurrecting him right in front of them.
Averted hilariously in Busou Renkin, in which various characters including man-eating monsters attempt to take advantage of this trope, only to find that people do not turn a blind eye to weirdness happening in their vicinity.
In A Certain Magical Index, Academy City may be a city where many people have superpowers and crazy stuff happens, but it is rather strange that nobody comments on Last Order wearing nothing but a ragged blanket when she goes into a fast food place.
Chrono Crusade is set in a world chock-full with normal hair and eye colors, yet Chrono can run around with a purple mullet, red eyes, Unusual Ears and fangs and nobody ever seems to be bothered by this. Even if we assume that Chrono's hair and eye color appears normal to the people around him, you'd think someone would comment on his ears and fangs.
Also, in general the populace is somehow unaware that demons run around populating their world, even though battles with them often take place in public. There's some hints that the Order is constantly working with the media to keep a lot of stories about their fights with demons under wraps, but you'd think word would get out eventually.
It's never made clear if the characters in Code Geass R2 are aware of the color of Lelouch's eye sans contact-lens, if they don't notice it at all (Euphemia sure didn't think it was anything out of the ordinary in season one), or if the effect is simply for the viewers' benefit (there's evidence both for and against this).
Cromartie Highschool is practically built out of this. Among the classmates there is a robot, a gorilla, a luchador who convinces everyone that he's a missing member of the cast just by telling them he is, and a mute, shirtless Freddie Mercury who rides a huge black stallion.
Even better, only a select few characters can tell that the robot actually is a robot (and they don't even get the excuse of him being a Ridiculously Human Robot, as he's a giant Tin-Can Robot.)
In Digimon, any time there's a digimon in the real world. People are perfectly fine with the explanation that digimon are stuffed animals or people in suits, even though it would be freakishly obvious that they look way more realistic and organic than a stuffed animal. Especially because with the massive amount of time digimon exist in the real world, someone would eventually realize that the stuffed animal was warm, or that their mouth was unusually realistic and wet, or that they were, you know, breathing.
No to mention the fact that the average digimon looks nothing like any animal of any kind. When their kid marched in with an odd mutant-looking crab-type thing under their arm and said 'it's a cuddly toy', most parents would probably demand to know what the hell it was supposed to be. Not so in the series, where owning a toy that looks like a very large puppet with flowers attached is perfectly unremarkable. Also, Digimon seem to be able to look exactly like people if they put on a large coat and a hat. Yes, it may be three feet tall with claws, wings and horns, but nobody notices as long as it's got it's hood up.
Particularly egregious example in season 1: After all the trouble Taichi goes through to hide Agumon, he wakes up one day to find that the beast has joined his parents for breakfast.
In regards to Digimon not looking like animals, in Tamers, Digimon is a TV show. It's reasonable to assume that they could just use the "it's a product based on the show" excuse.
In the third series, Takato seems to do little to actually hide Guilmon, and for the most part he just wanders through crowds of people with Takato. No one bats an eyelid.
Besides the plot point that was used, this is not only lampshaded by Takato, even if the children notice (most do), the adults won't believe them (until Sinjuko is wrecked).
Hilariously played straight and then subverted in one episode, where Guilmon tries to sneak into school to play with Takato. He sneaks in under a cardboard box. As he walks down the hallway, he crosses by the principal, who greets him with a cheerful "hello, cardboard box!" and continues walking, before suddenly stopping and realizing that a cardboard box should not be moving.
Digimon Xros Wars: The Young Hunters Leaping Through Time involves Digimon frequently and noticeably affecting the human world, and although people panic during the events, they don't seem to actively try to find out what exactly happened after the heroes resolve the core issues. In one particular instance, two students (both of whom were in on The Masquerade) were pulled into another dimension in the middle of a kendo match for several minutes, then reappeared at the same spot after finishing up the plot there. The referee was confused for a bit, but allowed them to continue the match as if nothing happened.
Zigzag when Goku was a child. Some people did freakout when they realized Goku had a monkey tail. Most of the time, however, people didn't seem to care or just note it as an unusual quirk.
People are pretty shocked to discover that Piccolo, a man with green skin and antennae, is an alien. Piccolo himself is shocked to discover this. The same thing happens when they find out that Goku (who used to have a tail and would transform into a giant ape in the full moon) is an alien. Granted, given the kinds of things walking around on Earth in this series that are native to the planet and clearly not human, Goku and Piccolo don't stand out all that much. Also, Piccolo was widely believed to be a type of demon, which is somewhat common in the Dragon World. His father even called himself the Demon King. With Goku, his friends are not particularly shock that he's an alien. They are shock that he was a vicious alien sent to kill everyone.
Also the appearance of the giant dragon Parunga in West City. At first, the inhabitants of the city are shocked but once they realize it's at Capsule Corp, home of a family of deranged scientists, they ignore it and go on with their daily lives.
Subverted on several occasions in the series, though. In the Android saga, people NOTICE how weird Androids 19 and 20 look and think they're circus freaks, and not only that, when Krillin comes flying out of the sky and asks a guy if he saw someone weird, the human's reaction? "You, man, you! You came flying out of the sky, dude!"
Also, in the Buu/Saiyaman saga, people notice when Gohan speeds down a highway with his Saiyan speed and they also notice when Gohan is gone for long periods of time (particularly Videl). A nice subversion to how most superhero sagas have the characters slip out and no one notices. People also notice Gohan when he's a Super Saiyan and that leads to him having to wear a mask. The most hilarious example of this is when they're playing baseball and Gohan FLIES up in the air to catch it and wonders why everyone's staring at him.
Although they may just be the artist's way of conveying his personality, Hiruma's pointy ears and fangs go without mention in Eyeshield 21.
Fairy Musketeers brings us a girl wearing an odd costume, another girl with Unusual Ears, and the above-mentioned blue wolf, which is apparently easily mistaken for a dog. The dog/wolf confusion seems especially common given Japanese wolves have been extinct for a while. The point remains, however. Blue. Armor. Talks. However, the one time he DID talk in public (i.e. to a bunch of Muggles), he got a TV appearance. The rest of the time they seem to be mistaken for Cosplayers, judging by the one time they won a competition unknowningly.
Only Lucy seems to notice that the people who work for the magic council in Fairy Tail are humanoid frogs.
Flying House: is set in Biblical times, but no one ever reacts to the flying house itself, the strange clothing, or the robot.
Franken Fran has quite a few chapters where she decides to go back to attending school. Unlike most of the people who see her Frankenstein's Monster appearance, none of the students give her a second glance in these stories, nor do they give her as much flak for her weird surgical procedures. One story had many students casually asking for weirder and weirder cosmetic changes to their bodies, and the chapter ends with her becoming one of the more normal-looking students on the campus.
In Free Collars Kingdom, many of the main characters wear clothes, and carry around weapons. The catch? They're cats, and yet none of the humans really notice, or think this strange.
Fullmetal Alchemist: Alphonse Elric seems to both subvert yet fit this trope. He's a giant seven-foot suit of armor who regularly walks the streets with his older brother, but nobody seems to notice or care. Occasionally somebody will ask him about why he "wears" that armor, though, and it's used to comedic effect when someone mistakes him for the Fullmetal Alchemist (who is actually his brother) due to the armor. Otherwise, passers-by pay him no notice.
Justified by the fact that the Elric boys live in a VERY militaristic state and people assume he is a tall guy that just likes to use an impressive armor, and they immediately freak out when they notice the armor is empty.
Played hilariously straight in an episode of Brotherhood, while running from the military, Ed transmutes a car because they have its description...into an armored car that looks like a chinese new years dragon...it works, granted, they were looking for that car in particular, but the fact they didn't even think that's odd is just mind-blowing.
The appearances of Hohenheim, Ed, and Alphonse (when not in the armor) should qualify as this, as it's more than likely that they are the only three people alivenote Not counting Father, whose body is a copy of Hohenheim's. with the distinctive Xerxian gold eyes and equally golden hair. note Their hair is actually drawn in a unique way to indicate that it's different from that of blond-haired characters. While blond haired characters have their hair drawn with a black outline, the hair of the Elrics has a yellow outline, because it's golden, rather than blond.
In Gintama, nobody ever comments on how bizarre Katsura's friend Elizabeth looks; it resembling to be a cross between a Bedsheet Ghost and a penguin, plus it also seems to just be a costume, as its legs appear to be those of a man's on the odd occasion where they're visible. It's possibly justified by the fact that the world is filled with all the manner of aliens, but even by their standards, it's still extremely weird-looking. It turns out that it's actually a member of an entire race of Human Aliens who don the same costume, just with the addition of accessories so they can actually distinguish one another. Or not. That was actually just its substitute that fills in for it on Mondays.
A story arc has Kondo transformed into a gorilla by the same curse that turned Gintoki and Katsura into cats. Again, nobody seems to really find anything very unusual about seeing him walking around in public, offering him food like they might any other stray animal.
The title character of Hana the Fox Girl acts as the mascot for the Shimashima coffee shop. None of the regular customers appear to be all that bothered by the fact that Hana is also a little girl with white fox ears and tail. The coffee shop's owner, Gen, even manages to get them to buy coffee in exchange for being able to snuggle her.
In Higurashi: When They Cry, there is Mion Sonozaki, who never leaves the house without her gun, which is highly visibly placed in her highly visible shoulder holster. No one ever seems to notice or to care. Her gun was so unnoticable that the remakes of the visual novel scrapped it because it didn't do anything. Possibly justified by the fact that she's a Mafia Princess (and well-known as such in the tightly-knit village.) Also everyone knows it's not actually a real gun but an Airsoft.
Usually in omakes, and official art, but we often see Rika holding bottles of "something" in front of her friends. They don't question her, or appear to notice.
Absolutely nobody notices or makes mention of Hanyuu's horns. Miyo actually does once in the visual novels though and in the past Hanyuu having horns was a reason she was ostracized.
In Interviews with Monster Girls, Machi can't hide her condition unlike the other girls, and she's also supposed to be one of the only three dullahans in the entire world. While this series sets in a post-Fantastic Racism world, it's curious that nobody seems to react at the sight of a person holding her own head with a jet of green flame coming out of her neck.
When InuYasha travels to the present time, Kagome always covers his dog ears yet doesn't bother to hide his fangs, claws, etc. Other people don't seem to mind about a barefoot man with long white hair walking down a street with a sword. Many seem to think he is just a cosplayer.
This actually gets averted more often than played straight in Kamisama Kiss. The two most notable aversions are the ostrich incident, where it's a big event when an ostrich is being chased by a ball of fire throughout the school. The second big aversion is when Tomoe follows Nanami into to town to look for the kid that Himemiko has a crush on without bothering to disguise his Little Bit Beastly nature. Just about everybody on the streets stops and stares at the guy with the fox ears and tail.
Karakurizoushi Ayatsuri Sakon. The main character is a puppeteer who walks around talking to his puppet all hours of the day, and makes it talk back, even arguing with it at times. No character treats him as mentally unbalanced or untrustworthy in any way, to the point where he can question people while trying to solve mysteries, and the people he questions don't say a word about the puppet.
In Kingdom Hearts: 358/2 Days, the woman running the ice-cream shop in Twilight Town takes no notice that three of her regular customers are wearing black coats and come from a Cult Of Evil. When Riku later appears in her shop, she doesn't react to his blindfold, either.
Love Hina: Motoko walking around with a sword is just the tip of the iceberg. Other strange phenomena are passed off with a casual note — Tama-chan the turtle's flying is acknowledged with an off-hand comment. It's usually Keitaro's job to notice such things, like mild amazement when he finds a full-blown jungle growing in Kaolla's room.
In Magical Girl Lyrical Nanoha A's when the Wolkenritter visit the hospital no one seems to mind the GIANT BLUE WOLF hanging out with little girls, Or that Arf's red. It's also worth mentioning that nobody seems to take note that Hayate's "family" are all obviously foreigners, while Hayate herself is Japanese.
Zafira doesn't go to the hospital very often, but the first time the Wolkenritter are there, while Ishida notes how they're strangely dressed (Hayate notes that they're from an unspecified far off country and are dressed in costume), she doesn't notice his ears or tail. At the end of A's, Zafira starts learning how to turn into a puppy.
Magical Pokaan has a girl with ''wolf ears''and a tail, dressed in what could be described as a leather bikini top, daisy dukes, and baggy knee high leggings. No one ever notices.''
For that matter, Pachira's pointy ears also apply, or Aiko's oversized steel hands.
Mahou Sensei Negima! is chock full of people not noticing things that are blatantly extraordinary or at least very rare.
Asuna's completely heterochromia is never commented on. Ever. The only time it's even indirectly referred to is when it turns out queen Arika, her 'sister,' also has mismatched eyes. Which, again, are not commented on, nor is the connection actually noted. They both just share the trait.
While most of the weirdness in is under the surface, few of the girls in Negi's class ever seem to notice or comment upon Chachamaru's very obvious robotic construction, at least at first. One of the students, Chisame Hasegawa, is one of the few to notice all the oddities around here and gets angry because she doesn't understand how anybody can not notice all the weirdness, especially things like Chachamaru obviously being a robot. The two eventually become best friends but it still frustrates her to no end.
Another example is that, early on, no one sees anything strange about the empty seat for Sayo, who is mentioned on the class roll with "1940-: Don't move her seat" noted. It took months for anyone to catch on that she was a ghost student and had been there the whole time, though to be fair it's extremely difficult to even notice her.
Magic itself is part of The Masquerade, but magic students and teachers only have to make a token effort to hide what they are. During the Mahora Festival arc, it's explicitly said that normal humans have an innate skepticism towards magic; it takes a rather massive spell to break through it and even then only extends to giving the idea serious consideration rather than making them believe in it.
It also helps that the Mahora Academy definition of normal includes such things as The World Tree, Ninja, Ki Attacks, the Military Fan Club that owns their own V-22 Osprey (not to mention tanks), and an engineering club that can build a fully functional Mecha-T.Rex just for giggles. After stuff like that, having a classmate with robot antennae doesn't seem all that strange.
When Mana is seen shooting around 10 people with special knock out rounds to prevent people from abusing the world tree's magic, people started to notice, which she waves them off saying that they were shooting a movie. And later in the Magic World people Hand Wave an epic fight going on around them as "are they shooting a movie?" and just continue walking. It should be noted that on the fringes of Magic World civilization, the typical response is usually "Oh, just another fight."
In Mamotte Shugogetten, no one seems to think it is out of the ordinary for inanimate objects to come to life, giants to stand in the city street, dragons to fly into a school, or any other of the ridiculously outlandish things the spirits do.
The most anyone tends to find strange about the Medicine Peddler in Mononoke is his exorcism tools and (in a more modern setting) clothing. Not his pale skin, blond hair, pointy ears, or Facial Markings. On the other hand, it's implied that people are just too self-interested to pay him much mind.
In the last story arc, which takes place during Japan's modernization period his appearance is commented on by one of the characters, and he responds that a person who sells folk remedies has to look exotic to get customers. Not that it explains his inhuman body features, but a Weirdness Censor may be in effect there. His deceptively small sword sometimes draws comments in the Feudal period as well, since as a merchant he shouldn't have the right to carry one.
In Murder Princess no one seemed to notice that the princess suddenly started hanging around with a purple Frankenstein and Skeleton man.
My Bride Is a Mermaid. Things like a submarine smashing through the floor of a gymnasium, a Kill Sat blowing up a section of the school, or the school being turned into a war zone over a rivalry usually elicit mind surprise at best. Given the nature of the series, one would think this is normal... except that hiding the existence of mermaids is the idea that drives the whole plot. Even though the mermaids would be one of the less weird things that occurs.
In Neon Genesis Evangelion, Rei Ayanami's albinism goes unmentioned, even by Asuka. This is especially odd since the show goes for fairly normal color schemes. This can be justified, as Rei's look is arguably one of her least odd aspects. Considering her other traits, it's possible no one would pay much notice her odd appearance. Similar remarks apply to Kaworu, though the circumstances of his arrival mean that his pigmentation problems are the least of the characters' concerns.
In One Piece there's Brook, a nine-foot tall walking, talking skeleton with an afro, yet anyone who sees him comments passingly - "Oh look, a skeleton." - and then moves on with the conversation. This is even stranger in light of the fact that Franky once noted that Brook would have trouble being accepted because of his appearance, which Brook did not attempt to dispute.
People probably thought he ate Skull-Skull fruit or some kind of devil fruit. Considering this is a world where there's giants, gigantic sea monsters, mermaids, and people of various shapes and size, a skeleton is a really uninteresting sight.
He DID eat a devil's fruit, but some people don't have knowledge of such things. People are extremely freaked out by Luffy's rubber body at the beginning of the story. Justified in that the Grand Line characters are probably more savvy of such pirate things, probably. Anyone in fright would probably be dispelled in learning he has a devil's fruit.
Luffy's Devil Fruit powers are apparently fairly strange even among Devil Fruits, as when Luffy fights alongside two other pirates with Devil Fruit abilities (one related to magnetism and one that switches people's body parts around), one tells him that his is the strangest.
Part of what makes Luffy's power interesting is that even though it's a Paramecia (common, random properties) type, it has abilities very similar to a Logia (rare, can turn into, create, and manipulate an element/substance) type. The other part of why his powers are interesting comes from the inventive ways he comes up with to use them, namely using his rubber circulatory system to pump his (rubber?) blood super fast to hyper oxygenate his muscles, and inflating his rubber bones to give himself giant limbs and super strength (since it forces his muscles to stretch out in a way he can't just will them to do). This is actually completely averted later when the group gets broken up and Brook winds up kept in a cage by people who want to exhibit him in a freakshow. Turns out he is pretty interesting. Because he only hasone joint in his arms.
In the anime, Team Rocket's Meowth is one of the very few Pokemon to be able to talk. A few people find it strange, but most don't. Averted heavily in the XY episode "A Fork In The Road! A Parting Of The Ways!" where a Pokemon hunter captures him to try and make a fortune of of him due to his odd ability to speak.
Though there are a few other Pokemon that could speak normally: the Gastly in the Maiden's Peak episode, Slowking in the second movie (which subverted it, everyone was surprised it could speak). And Psychic and Legendary Pokemon can communicate telepathically.
Supposedly Meowth taught himself to speak (and practiced walking erect) in the hope of impressing a female Meowth named Meowzie who liked all things human. The implication is there's nothing restricting most Pokemon to Pokespeech, but there's unusually little interest by Pokemon or their humans in them talking.
And then we have Brock. Only a few people have looked at him strangely - including nurses - when he's being dragged away (by the ear) from a good-looking girl by a three-foot-high Croagunk, Misty, or even a boy who's not even ten years old. And nobody has asked if he was okay, scolded the dragger, or done anything more startled than stare at the spectacle.
He was the Gym Leader of Pewter Gym. Sure, he left his post pretty early, but he probably stayed there for a year or two. And yet, no one seems to recognize him, not even veteran trainers. Gary probably faced him before Ash, right?
Another case of this trope occurs during the registration for the Sinnoh League at the Lilly of the Valley Conference where one of the trainers in line was in possession of a Heatran.
Happens again in a Unova episode.
Heatran must be pseudo-legendary in anime-verse, kinda awesome but not even on the level of befriending an Articuno.
Then it's taken Up to 11 in the 15th movie. In order, Kyurem has attacked the group out in the open on a moving train and flown through the city with a pack of Cryogonal while freezing and going on a rampage, the main cast ransacks a museum to borrow a blimp and a mini-cart (both get destroyed), and Keldeo is shown to be in a Pokemon Center and later eating in public view. Aside from Nurse Joy doing her job, there was nobody around to see or take notice. Keep in mind a rather sizable city was under attack and a member of the widely known Swords of Justice was spotted.
A week after starting school, many of Hibiki's classmates in Re-Kan! are already used to seeing her talk to ghosts. Unfortunately they can't see the ghosts, so to them it looks like she's talking to thin air. Narumi however, refuses to believe it, and is quite vocal in her opposition to Hibiki's claims of seeing ghosts.
The Dead Moon Circus in the Sailor Moon anime are masters of this trope. Nobody seemed to notice (besides Usagi) that a GIGANTIC CIRCUS TENT which manages to dwarf most of the buildings surrounding it in size suddenly appeared. The monsters in the Circus actually mock the citizens because they don't notice them. It isn't until advertisements go out for the show that people notice the circus tent. And still, no one asks just when they arrived, or how they managed to set up a tent that size in such a short time. In the manga, their headquarters is a regular circus tent, and they take a month to get ready for their first performance.
Also, nobody remarks on Chibi-Usa's unconventional appearance. At one point, the pink-haired, red-eyed girl comes home from school upset because her classmates were teasing her because... she's short.
Slayers brings us Zelgadis, who is a cursed chimera consisting of 1/3 human, 1/3 golem and 1/3 blow demon. This gives him rock hard, greenish-bluish skin, scale-like protrusions all over his body, and literal wire-y hair. In early episodes he makes a few comments about preferring to avoid towns and keeps the hood of his cape up, but in most of the later seasons he walks around just like everyone else and never gets a second glance from the innocent townspeople.
This is even funnier because in later seasons, the cast heads off to lands where magic is uncommon. Most of the manga spinoffs and the novel series averts this, as shown in his novel special story. The aversion in the novels can be a bit odd, though, because there are far more chimeras present there than in the anime or manga.
In Someday's Dreamers II: Sora, Sora uses her magical powers to prevent a truck from crashing from an overpass onto the subway station underneath. This gets some response, causing Sora to become embarrassed, but after some questioning by the police she continues her trip as if nothing had happened. Sure, magic is fairly common in the world depicted, but it should still be a big deal if someone uses it to save numerous lives and it would likely get a lot of media attention.
In contrast, the media do extensively cover the attempts of apprentice mages to save a group of stranded dolphins.
Sonic X has this, but it's averted in the first episode, where Sonic causes a lot of trouble in the city after being transported there by the Chaos Emeralds. This is averted until Sonic makes an appearance that NOBODY can ignore, and is treated like a hero afterwards to the point where people watch a RACE between him and a member of a special group of police.
The opening chapters of Takeo-chan Bukkairoku feature the youkai who live in the house Takeo has moved into doing everything they can to frighten her so they can feed off of the negative energy humans release when surprised. The problem with this comes in that Takeo is Born Unlucky to such an extent that frightening monsters trying to drain her of her essence are not the worst thing she's dealt with. She's not only unfazed by their attempts to scare her, but is able to repel them without issue and even briefly makes one into a pet because she found it cute.
The market community in Tamako Market quickly gets used to having a talking tropical bird around who comes from an island and can project and record film out of its eyes!
In This Ugly Yet Beautiful World, there is a huge and general lack of skepticism towards two girls falling from the sky as meteors, but the most notable instance is that one of these girls has a sentient levitating robotic companion that remains virtually unremarked-upon. (This is lampshaded a couple times.)
In Tokyo Ghoul, Kaneki's appearance was altered drastically by being tortured for ten days by the Aogiri general, Jason. While it's perhaps understandable that his friends don't comment on this change when he is reunited with them, it is rather odd that two enemies recognized him from great distance without knowing what had been done to him.
Early in Tokyo Godfathers, during a conversation between the three main characters, a couple crossing the street behind them are very clearly seen being hit by a third stranger on a Moped and being knocked offscreen. The accident is not mentioned, pointed out, or even alluded to.
To Love-Ru is full of this. No one seems to really care that Lala has a tail, that Zastin wears a suit of armor all the time, that Rito has a giant carnivorous plant in his backyard, etc.
Although no mention of the fact of the plant or Zastin's armor warrents comment, people often comment about Lala's tail. When it is revealed that Lala (and most of the rest of the characters) are aliens, everyone seems just fine with it though (rather than being freaked out, the typical response is along the lines of "that explains a lot"). Which could explain why no one makes a comment about the plant.
In the Umineko: When They Cry anime, Maria's facial distortions and creepy laughter go uncommented on by the others. This is in sharp contrast to the original sound novels and the manga, where people do notice and are understandably creeped out.
Considering she can use it, among other things, as an Invisibility Cloak, the latter is not too far a stretch.
No one seems to pay much notice to the giant alarm-skull in her hair, either. She tends to panic when it goes off around humans, so they can probably hear it, but they seem to take "DORODORODORODORO" to mean "IGNORE THIS NOISE."
Yu-Gi-Oh! — The fact that Yugi grows and shrinks a good few inches every time he 'transforms', and everything about his hair.
Word of God says that Yugi's appearance doesn't actually change, the difference in art represents how the Pharaoh has more presence than Yugi. The only person who ever thought they different people was blindfolded at the time, and only heard their voices. Oddly enough, the Paradox Brothers do react to Yugi's transformation, but never say anything other than gasping and wondering what he was doing, and in the first episode of the anime Kaiba looks shocked. Comments about the hair are rare, and only tend to turn up in the English dub, which sometimes lampshades the odd hair and height difference. It makes sense no-one would mention the hair, since most Yu-Gi-Oh! characters don't have room to talk.