The discussion of El Aguila reminded me of an old Green Lantern villain, Goldface. In his first appearance, he carried a gun that sprayed a mist which turned people into gold. Green Lantern eventually wrestled the gun away from him, only to discover that it was a decoy to conceal the fact that it was actually a beam from Goldface’s helmet causing the transmutation.
Which is why he goes by “Batman”, instead. “Let me give you one word of advice…” 
Tangent One: I had a City of Heroes character named Bluff. He stopped his first robbery by threatening the thieves with a bow…despite being blind. (He did have a form of blindsight, related to his teleportation power, but hadn’t trained it to a sufficient level of precision to shoot accurately at that point.)
Tangent Two: Grrl Power has an imagine spot with the hypothetical super Baconman, who has the power to make you believe he knows Kevin Bacon…even after telling you upfront that that’s his power.
Moonglow from the old SQUADRON SUPREME comic told people she had weird gravity powers, and would convincingly float into the air easy as immobilizing folks who were suddenly too heavy to move, or whatever. And on occasion she’d mysteriously shrug off an attack, or pull off a feat of teleportation.
In fact, none of that was true; her thing was illusions. She’d shrug off an attack by dint of not actually being there – and if she dissolved that mere image right before you saw the real McCoy somewhere else, well, uh, ta-da. No, you don’t weigh more than you did before; you’re only immobilized because you think you are; she can’t stop a runaway cart, or rise up to rescue someone from the window of a burning building. And, no, you didn’t blindfold her. Also, no, she’s not that good-looking.
You’d think illusionists would be a natural fit for this category, wouldn’t you? The first other character with pure illusion powers that comes to mind, though, is the DCAU Anansi, who makes no effort to hide the fact. He seems to use his illusions to hide, sow confusion, and briefly panic his opponents. Most of the other illusionists I can think of can produce non-illusory manifestations as well.
True. The Squad 11 Fifth Seat is a better match:
Despite only being an average fighter he tends to walk out of battles looking spotless. Everyone puts that down to him being rather vain about his appearance, when he’s really got vampiric magic that sucks the life out of his enemies and heals himself.
I think it’s less that he consciously conceals that fact than it is that it’s not a showy power. To the casual observer it seems that he is just inhumanly fast. Which of course he is, but not to the level that his spider-sense lets him simulate, because he’s not reacting to the stimulus people think he is.
Definitely true there.
How about Superman? At least pre-New 52, he was bluffing on many occasions – certainly every time he let his eyes glow red to remind people he could barbecue them by GLANCING at them. If you’re an ordinary street criminal he’s never going to do it. Hell, you’re much more likely to get seriously injured by almost any other hero.
He’s Groundhog Day Man! I like it. With a bit of Shawn Spenser. I think it would be cool.
Actually, I read it a while back, when the HPMOR guy recommended it. I can’t seem to think of any guy who would fit that. You aren’t talking about Coil, are you? I would say his powers are not the same as the OP. And we had part of the story from his point of view, so we know he wasn’t lying about his powers.
I can’t think of anyone else who gets close. I can’t even remember someone who supposedly has the power of limited foresight.
BTW, OP, Tattletale does flat out tell people she’s psychic. Her entire thing is being a trickster. Yes, she lets people draw their own conclusions often, but it’s still her deliberately tricking people. She says what they want to hear or the very thing that she knows would break them.
Another example I thought of is Mysterio from Spider-Man, who is really an illusionist but pretends to have actual powers.
There was always Sensor Girl in the Legion of Superheroes.
At that, the Phantom’s entire schtick is carrying on the family business: just like his dad and Grandpa Walker before him, and a dozen generations of Walker men before them, he’s dressing up as The Man Who Cannot Die – with the mask and the tights and the underpants on the outside and the fakery built on four centuries of guys soldiering on until they’re crippled or killed, at which point the Ghost Who Walks role secretly passes from father to son and the act continues uninterrupted.
Spider-Man again
For a time, Spidey was wanted for attempted murder. So, he came up with new costumed identities.
Ricochet- used a bouncy form of his web compound, his jumping ability and super agility.
Hornet- He borrowed an anti grav back pack for this one. He also used spikes made from his web compound.
Prodigy- use the antigrav back pack and his super strength.
Dusk- I don’t remember.
Nobody suspected that these four super beings (Ricochet pretended to be a villain) were actually Spidey. The Vulture did figure out who the Hornet was when Spidey slipped up and callled him “Vulchy”. The Vulture thought ‘Only Spider-Man calls me that!’ and loudly announced that the Hornet was really Spider-man.
There was another Wild Cards character who used his power deceptively. His supposed power was the ability to kill people - all he had to do was say “You’re going to die” and they did. He didn’t kill them directly but they’d always die within a few hours of him targeting them.
The thing was he didn’t really have the power to kill people. His actual power was the ability to see people we’re going to die. So he was aware of their deaths but not causing them. However, he would sometimes tell one of the people he knew was going to die that he was using his killing power against them. When they subsequently died, it made it look like his killing power was real.
I’m guessing his middle name is “Onthe”.
And he mentions it to other heroes - though they seem unsure what it is, and dismiss it (No one ever followed up with “And spider-sense would be?”). Back when I was reading, there was a plotline starting up where a villain arranged a series of crimes simply to verify Spidey could sense danger with no perceptible stimuli.
As far as I know, nobody knows Daredevil is actually blind. Even people that find out he’s Matt Murdock (Ben Urich, Kingpin) just think he’s come up with a pretty hardcore scheme for hiding his secret identity by pretending to be handicapped. He’s seen as a Batman-type - athletic with no superpowers.
On the sideline of supers who misunderstand their own powers–how often does it work to their advantage?
Say Ankhemar, the Living Mummy, has trapped Invictus, the Solar Sorcerer, in his scarab pit. The mocking mummy taunts Invictus, claiming that he has used an ancient ritual to seal the pit against magic, rendering the sorcerer’s powers useless…until Invictus whispers a word and flies out of the pit. “The power of the Light is within me, and your tricks cannot deny it!”
Only Ankhemar’s ritual should have worked. The pit was a null magic zone, and even the most powerful magician in the world couldn’t so much as light a candle in it. Although Invictus–ironically, not the brightest hero around–believes his power is magical, it’s actually a mutant ability to instinctively manipulate energy fields. His “spells” are mnemonics that help focus his rather scattered thoughts enough to do perform specific manipulations.
Most of the time, it’s a detriment–Invictus can’t use his powers if he can’t speak or gesture, because he believes the spells are necessary. If he understood what he was doing, he wouldn’t need them. This time, however, it worked to his advantage, because his nemesis built a trap around the same false assumptions.
Once you know that, what do you do with the information? Line your pit traps with pillows and furnish them with cozy blankets and some light reading (or maybe self-help books)?
Spot on. 
The villain wanted the ability for himself, or something similar. He basically sent robot henchmen to commit crimes rigged with explosives he could detonate remotely or time to strike at random. Spidey swings in to save the day and out of the blue realize things were about to go south. I quit the title soon after, so never saw where he went with it.
Heck, back in the 1960s the Goblin came up with a gas to suppress his spider-sense - it’s how he learned Spidey was Peter Parker.
Unless it’s been retconned (possible, with all the One More Day silliness), Spidey knows. Way back in the late 80s or early 90s, Aunt May unknowingly outed Parker to Murdock, and at the end of the storyline Murdock deliberately outed himself to Parker.
Several people know Murdock is Daredevil (barring retcons, as you mentioned) - no one seems to know Daredevil really is blind, and has hyper-senses/radar sense. Does Spidey know that, or just who Daredevil is? Elektra, Black Widow and Stick are the only characters I recall that know both his identity and his secret ability.
In the original version of J’onn J’onzz, Manhunter from Mars (backup to Batman in Detective Comics) no one even knew he existed. He used all his powers in the background or while invisible. Everyone thought police detective John Jones had incredible intuition, was foolhardy brave, etc. I think the basic idea was to play off the flying saucer “hysteria” – they’re here among us unknown.
Shortly before the launch of the Justice League comic (in fact so shortly before, I’m not sure it was a coincidence), he lost the ability to use any of his other powers while invisible and began to operate opening.
Barring retcons, Spidey explicitly knew. When they outed themselves to each other in “The Death of Jeanne DeWolff,” he commented that Murdock was blind, and DD explained. And in a later teamup they use Murdock’s blindness to their advantage.
I also tend to think that Luke Cage and Iron First both know. There’s some story I couldn’t hope to remember in which NYC’s four most prominent street-level heroes team up to kick some Maggia ass, and Luke makes a “blind man” wisecrack.