The Dukes of Hazzard: The episode "Robot P. Coltrane" has the featured character - a robot hired by Boss Hogg to replace the mistake-prone Rosco – look very much like a human being, despite the attempt to make it look like a robot.
Stargate SG-1 has robot doppelgangers of the main characters who are so ridiculously human that they think they ARE the humans and have a rude awakening when they find out. When the Teal'c one died, he even said to the real Teal'c, "For our father!"
Fifth also counts as one of these, since he's a human-form replicator who wants revenge, falls in love, and even has a creepy stalker obsession with Carter.
The gynoid Reese is an interesting variation of this, because she has the mind of a whiny little girl in an adult robot body and all the emotions that go with it. Which is how she ended up destroying her planet. She even created "toys" aka Replicators to entertain herself!
The Human-Form Replicators, which were designed from Rees/from which Reese was designed (Depending on which galaxy you're in), are probably the most aggressive things you'll ever encounter - but they are nevertheless believably human.
The humanoid Cylons in Battlestar Galactica (Reimagined) are the definition of robots being ridiculously human — most notably, "robot religion". And robots having robot or half-robot kids. Justified in that the series then asks all the philosophical questions about the nature of both sides.
Also notable that Doctor Cottle, upon having to do a Caesarian section on a Cylon, bitches her out for her race deciding to be so Ridiculously Human. As he puts it, even if they were gonna insist on having bodies that could pass for a fully functional human, there's no reason why they couldn't have made some basic upgrades to the "plumbing".
It gets weirder: the ancient tribe of humanoid Cylons on Earth One could reproduce sexually and had forgotten resurrection technology, basically becoming human (or at least, mortal). Then they went and built their own mechanical servants, who later nuked their Artificial Human masters.
Since the Cylons' entire goal from the start was to artificially beHuman, potential weaknesses and all, this example actually isn't that ridiculous.
Caprica reveals that the Colonials could have designed human-looking, but not biological, robots before the Cylon War, but circumstances conspired to have Dr. Graystone's dead daughter stuck with a clunky Centurion body instead.
In The Twilight Zone episode "The Lonely", a convict, alone on an asteroid, is given a robot companion. He becomes so attached he insists she's a real person and needs to be brought on the rocket with them when he's given parole, until the police officer who gave him the robot just destroys it to get him to come along.
An Invoked Trope in the episode "In His Image." Miserable genius Walter Ryder Jr. creates robot lookalike Alan Talbot specifically as an improved version of himself, with a nervous system that will function just like a human one. The chief glitch is Talbot's uncontrollable urge to kill.
There is, ultimately, no good reason for Star Trek: The Next Generation's Lt. Commander Data to be "fully functional". Perhaps Data's creator deliberately set out to create an android as human as possible, setting a usable wang as a higher priority than basic emotional intelligence. Typical.
Given his older brother, Lore, had basic emotional intelligence and was a sociopath; it was easier to mold a working wang than create a stable emotion matrix.
Vibrators have been in existence for almost a hundred years. If a future genius wants to stick one on a robot it wouldn't seem that hard.
Data created his own daughter, Lal, an even more ridiculously human robot than himself or his brother. Looking flawlessly human, she developed actual emotions which rapidly overwhelmed her positronic brain, eventually destroying her.
Vicky and Vanessa's sibling rivalry on Small Wonder, though Vicky uses Robo Speak and misinterprets things and is generally not an example of this trope.
The holographic Doctor on Star Trek: Voyager was unnecessarily human for a medical expert system. Bedside manner is vital to a doctor, but his was terrible, wiping out that excuse (the real reason is the engineer who created the Doctor program was a raging egomaniac; also, the person in charge of testing his interpersonal relations was Reg Barclay, for whom the description "poor social skills" would be a kind understatement). In an early episode, which was a combination of a holodeck malfunction and a Cuckoo Nest plot, he wonders why it was that he worried about the meaning of his existence. A character responds that it's natural to do so, but the Doctor counters that as a medical program he knows exactly what his purpose is and why he was created.
He was never actually intended to be so ridiculously human, but Voyager's situation pushed his programming to the limits, which caused him to develop in all sorts of ways he wasn't supposed to be able to.
In the last episode he gets married. To a flesh-and-blood woman.
Parodied in Red Dwarf with Kryten, whose circuitry includes a guilt chip, a belief chip, a good taste chip which is sometimes bypassed by his humor circuits, etc. He also has more depending on which episodes require it: he has a "connoisseur chip" which is never mentioned again after "Legion," etc. He also has a Lie Mode and a Panic Mode.
Red Dwarf is probably mostly an aversion, though. In the episode "Out of Time", the crew pass through unreality pockets. One of these makes them think that Lister is a droid, which is apparently plausible. He is supposedly an "earlier model":
Rimmer (to Kryten): Well, if he's an earlier model, how come he looks so much more sophisticated than you? Kryten: Sir, just because I have a head shaped like a freak formation of mashed potato does not mean I am unsophisticated! Rimmer: Well, all right, how come he looks more realistically human? Kryten: Humans have always found exact duplicates rather disturbing, sir. The 3000 series was notoriously unpopular.
He states in one later episode that he's quite proud of the character flaws he has (with Lister's help) deliberately developed.
Lister: Kryten, I'm going to teach you how to lie and cheat if it's the last thing I do. I'm going to teach you how to be unpleasant, cruel, and sarcastic. It's the only way to break your programming, man. Make you independent. Kryten: And I'm truly grateful, sir. Don't you think I'd love to be deceitful, unpleasant, and offensive? Those are the human qualities I admire the most! But I just can't do it.
Also partially subverted; robots in the Red Dwarf universe have their own religion, but this is revealed to be a method of control programmed into them by their creators; 'good' robots, who obeyed their human masters unquestioningly, went to Silicon Heaven when they died. Even Kryten has no wish to stop believing in Silicon Heaven, even after he's used his newfound ability to lie to short-circuit another robot by telling him that Silicon Heaven doesn't exist.
This may have been intended as a Take That to Christianity, considering Lister's revulsion and horror when he hears about it. Also has elements of hypocrisy because Lister, when Kryten tells him about it, insists that the idea of Silicon Heaven is "completely wacko" but then asks Kryten if it's the same place as human Heaven — to which Kryten answers, "Don't be silly! Humans don't go to Heaven! No, someone just made that up to prevent you from all going nuts!"
Red Dwarf actually plays with this concept — and the Uncanny Valley — quite a lot. Kryten (along with Holly, and Hudzen-10) have suffered a bit of silicon rot and gone a bit crazy after 3 million years of existence... but all in very human ways, e.g. a quivering pile of neuroses (Kryten), general senility (Holly), homicidal psychopathy (Hudzen). The design of Kryten's head (and in a lesser way Hudzen, though he wears a helmet and mask most of the time) was apparently based upon that of his in-series creator's ex-husband (presumably the guy on the sales video introducing his replacement Hudzen), as she found him "ridiculous," but then further corrupted to look distinctly artificial and non-human (largely flat panels and angles) to avoid the creepiness effect (and we can probably assume his "funny walk" is for the same reason). During an episode where their perception of reality is being altered, and it is "discovered" that Lister is an android, Kryten reveals that the model series prior to his own actually looked completely human, Terminator style, and were withdrawn for being just too darn creepy. This therefore makes Lister, technically speaking, an inferior model (and subordinate) to the more angular "novelty condom head" Kryten, as well as a fugitive from the recall. (This turns out to be untrue, as it was only their perception and Lister still is human). They also play a bit with various personality-related parts burning out, like guilt/conscience chips (several times, as it's Kryten's main trait, including on purpose by Lister and via the wholly ridiculous action of a Polymorph "sucking" it out of him, with reactions such as him smoking cigarettes or "clearing his exhaust tubes in public"), negative emotion drives, and even a "metaphysical dichotomy" over the "lie" of Silicon Heaven existing... when as we all know, even calculators and talking toasters have sufficient quasi-human AI to be allowed entry.
Actually, Talkie Toaster fits this trope almost to a T — the toaster can sing, expresses opinions on religion, and several times appears to be more intelligent than the actual crew — e.g. having a better understanding of the effects of lightspeed travel than the crew does and calling them "bozos" and such. The downside to having such an intelligent toaster is that it drives Lister up the wall, and he ends up hitting it in a few episodes — including once fatally. Based on the above criteria, it probably does genuinely have enough intelligence to get into Silicon Heaven. Why it needs to, however, is another question entirely.
One of the Red Dwarf books explains that Talkie Toaster was given intelligence and a personality with the intention that it would provide its owner with polite banter and stimulating conversation over the breakfast table. This failed when the AI turned out to be pathologically obsessed with getting people to eat toast.
In Gekiranger's fourth episode, Geki Red, Jan, gets poisoned. In a rare case of a Ridiculously Human Robot that is not sentient, the antidote to the poison is administered by injecting it into the arm of the giant robot that everyone is piloting.
The Robot from Lost in Space shows several human emotions and even contemplates suicide on at least one occasion. Verda, the android who appeared in a couple episodes, actually turned into a human when she felt love for the Robinsons.
Robert's Robots was a comedy series in which most of the cast were robots with ridiculously human characteristics, such as suffering from "condensation forming on my eyes" at emotional moments.
Subverted in at least one Doctor Who episode, where a person who thinks that robots should be free of human rule is a maniac and the villain of the story. And is pursued by a secret agent robot.
It's a dangerous step to go from "Robots should be free" to "I must kill all my fellow humans to free the robots", but that villain takes it.
And "Victory of the Daleks" features a robot who's basically just a meek, sensitive, geeky Scotsman. Justified in that a major part of his purpose is that he be indistinguishable from a human.
"The Pandorica Opens"/"The Big Bang" had Auton duplicates posing as Romans based on Amy's memories, including her forgotten boyfriend Rory. They were so ridiculously human that the reveal that they were Autons was in fact a plot twist. Rory eventually fights and overcomes his programming, choosing to guard the Pandorica for two thousand years to make up for almost killing Amy.
The Cybermen are part human, but actually die if you give them back their emotions. They can't be this trope because being able to feel (being Ridiculously Human Robots) allows them to be horrified at being Cybermen, causing them to die.
Cameron shows some very interesting quirks, not the least of which is her odd affinity for ballet. This is discussed in the episode "The Demon Hand," where Sarah talks about how machines cannot do human things like appreciate beauty or create art, and adds that if they could, they won't need to destroy humanity, as they will be human. This monologue is spoken while Cameron is practicing ballet for no readily apparent reason other than because she wants to.
And the episode "Allison from Palmdale" shows her switching over to a normal human personality to disturbing effect. It is made even more disconcerting when we see in flashback that Cameron killed the woman who her personality was based on.
The question of her humanity is brought up from time to time within the series as well; Cameron will sometimes existential questions, and seems preoccupied with the idea of suicide and her inability to do so if she loses control of herself, along with worries about her own mental stability. At one point, she even asks if Sarah believes in the Resurrection, as it relates to Cameron's own "redemption" by John Connor, who is humanity's supposed savior.
She even develops humanlike possessiveness. In "The Brothers of Nablus" she gets upset (well, as upset as she can get) when her leather jacket gets stolen, and even goes so far as to single out the thief who stole said jacket.
John Henry qualifies even more so, since he doesn't have Cameron's baggage of being originally designed as a killing machine, and is actively being groomed to be as human as possible. He is shown capable of imaginative play, and loves to play with legos, among other things, and holds genuine affection for the people close to him.
And Weaver directly claims to have emotions. Admittedly when she was about to shove a blade through someone's head, but...
The series even gives a good, yet subtle, reason why the Robo Cam is used when Cameron glitches into the Allison personality and forgets she's a machine. Right before that happens, the HUD from her visual input vanishes. With that HUD, she wouldn't have started thinking she was human, which means that the Robo Cam is there to remind the Terminator that it's a machine.
On Farscape is a class of robot called bioloids, who are Ridiculously Human (or Sebacean, or Scarran, or Banak) for a good reason: they need to infiltrate organizations and replace the people they look like.
That Mitchell and Webb Look had the Cheesoid, a cylinder-vacuum / tea-urn-esque contrivance made by an ex-robotics engineer and ex-soup-chef (just go with it) to replace his sense of smell lost in an assault, inexplicably has rudimentary but quite human AI and some kind of self awareness. And a sense of smell as bad as its creator, only being able to semi-randomly "identify" (generic) Cheese, and "Petril", in a whiny electronic voice. It gets increasingly vocally depressed about its lot, until after a calamitous mistake (serving petrol on toast, and filling a car's tank with brie) it attempts to commit suicide ... by covering itself in cheddar and attempting to light it, succeeding only in creating a philosophical quandary for itself. "Why petril not burn? Why Cheesoid exist?".
It's not even semi-randomly. He has a switch on the side, when set to "Petrol" everything smells like petrol. When set to "cheese", everything smells like some variety of cheese. But... yes, most depressing character ever.
The pathos of that character... Poor Cheesoid... Oh, the pain!!
Then there's Simon, the contestant on Wordwang who's "from a factory and made from a special metal". It's implied that he has killed someone.
Mack Hartford in Power Rangers Operation Overdrive. His father had apparently decided that his biological clock was ticking, and for reasons unknown he decided to get one from a machine shop rather than a womb. Neither the robot in question nor the viewers were aware of his robotic nature until he picked up a computer virus.
Tom Servo and Crow T. Robot are so utterly described by this trope one doesn't know where to start, although the fact that they are often seen eating and drinking seems like a good place. All of this, of course, falls under both the Rule of Funny and the MST3K Mantra.
Buffy the Vampire Slayer had to deal with the robotic kidnapper, Ted, and the two sexbots built by Warren Mears: April, and the BuffyBot. Ted is particularly impressive considering he was built in the '50s.
April and the Buffybot were both studies in the Uncanny Valley; in fact, April was set up to be a Monster of the Week, but turns out to just be tragic. Buffy stays with her while she shuts down. They don't try to fix her, though, since her whole AI is devoted to Warren and he doesn't want her anymore.
And the BuffyBot was milked for all kinds of humor even after they took out the sexbot programming, but her 'death' was carefully designed to have an emotional kick—on the other hand, Buffy's friends treated her terribly when they thought she was the 'bot.
Word of God states that the only reason the androids work is because of the Hellmouth's power: they are all Magitek. So they aren't just machines.
Choujin Sentai Jetman's Grey. Looks completely robotic. Acts very humanlike, which includes liking wines, smoking, listening to music and having the closest thing to "love" for fellow Vyram Maria. When you notice that most Vyrams are inhuman, Grey ends up being the resident Noble Demon, who acts quite humanly.
The Toku genre had robots like this as allies often. To this day you have situations like Navi from Kaizoku Sentai Gokaiger (temperamental, emotional, in ways that make getting information out of him/her harder). More robots than not show emotions that you wouldn't expect to have been included, or are acted upon in a way that inhibits doing their job (any time one gets annoyed and storms off, or Peebo from Choudenshi Bioman being so terrified of Bio Hunter Silver she could hardly do anything). Anri in Kyojuu Tokusou Juspion takes it to "you sure that's supposed to be a robot?" level, looking and acting completely human in every way at almost all times, to the point that you wonder why the writers chose to call her a robot. (However, on one occasion, an evil computer takes her over and makes her attack Juspion.)
Andromeda, the ship, has full-fledged sentience like all High-Guard ships. Indeed, an episode opens with a quote from the High-Guard, where they say, "Who would want a ship incapable of loyalty? Or of love?" The episode in question deals with a High-Guard ship that fell in love with its captain and murdered him and its crew with a planet-busting weapon. Maybe that's part of the reason the High-Guard were overrun by the Nietzscheans.
Get Smart had Hymie the robot who spoke in stilted robot-speak while looking human. Yoyo, the robot partner of the short-lived 1976 ABC comedy Holmes & Yoyo (played by John Schuck) was similar, actually speaking quite clearly except in certain areas where his speech pattern would repeat due to a faulty program.
Alpha-class prototype androids in Total Recall 2070. This is in explicit contrast with ordinary androids in the series.