Yoda. Greater than Mace Windu he is. Greater Jedi than all others combined, times Mace Windu squared, he is. Muppet he is. Puts all the Sith to shame he does.
Boba Fett went out like a punk on screen, taken out by a blind man and a pole. But he looked so gosh-damn mysterious in his cool body armor that fans assumed that he must in all essences be the Galaxy Far, Far Away's version of Batman. And so, in the Expanded Universe, that is indeed what he became. As of now, he is in his seventies and recovering from a terminal illness, but still manages to beat the stuffing out of anyone who gets in his way. Parodied heavily in Robot Chicken's Star Wars specials, in which he's more of a Small Name, Big Ego.
Wedge Antilles has gotten the same treatment, although he does have a little more screen time and dialogue than Boba.
The Expanded Universe has propelled his Ace Pilot status to mythic levels, not that the movies didn't make it clear he was damn good.
Only one person survived both Death Star runs. He had no mystical "Force" on his side. It was Wedge Antilles, who would later dismiss things by saying "It's not like we're destroying a Death Star".
Wedge has two Death Stars painted on the side of his X-Wing, and every TIE Fighter there actually represents an entire squadron.
PRINCESS LEIA choked out JABBA THE HUTT with his own chain!
To a lesser extent, Willow Hood, better known as The Ice Cream Guy. For a character whose sole appearance is running away with an ice cream maker in the background, he has quite a vocal fanbase.
Captain Nascimento from the Brazilian movie Tropa de Elite (a.k.a. The Elite Squad). When Bruce Banner gets mad, he becomes The Hulk. When Hulk gets mad, he becomes Capt. Nascimento.
All of this may be true, but nobody fucks with the Jesus.
Tony Stark can build anything - in a cave! With a box of scraps!
The Bank Manager in the opening scene of The Dark Knight didn't grab a shotgun and start blowing away the Joker's gang away while screaming threats because he was a secret mafioso; he did it because William Fichtner is just that badass!
By the way, that thing the Joker put in his mouth that turned out not to do anything? It was actually a frag grenade, and the Joker meant to kill him, but it chose not to explode for fear of Fichtner's inevitable wrath. Even grenades know better than to mess with someone who takes a gun into space. Don't forget that we are talking about a guy who will tear a wall down to get to you if you try to hide from him.
Don't forget Captain Robau. The shields on the Kelvin don't keep enemy phasers out. They keep Captain Robau in.
As of the recent Sherlock Holmes film, Watson has reached this level, due to his general ability to kick ass, take names, and save Holmes' butt about fifteen times.
Bonecrusher hates this page and everyone on it. The only reason he hasn't ground the servers to dust and killed everyone who's ever edited the page is because it provides a handy list of people he needs to kill, and Bonecrusher hates to be unprepared.
William Wallace: Sons of Scotland! I am William Wallace. Young Soldier: William Wallace is seven feet tall! William Wallace: Yes, I've heard. Kills men by the hundreds. And if HE were here, he'd consume the English with fireballs from his eyes, and bolts of lightning from his arse. (Scottish army laughs) Continued to it's logical conclusion here.
In-universe, Pai Mei is so badass that legends about his badassery are over a thousand years old.
The Expendables is a rare example where the film itself has achieved Memetic Badass status. This is based mainly on the fact that it's a throwback action movie directed by Sylvester Stallone and starring almosteverylivingactionmovieactoravailable. The trailer alone, apparently, will put hair on your chest and give you a third testicle, if you're a dude. If you're a girl, you'll walk out of the theater pregnant.
Excuse me, but who here has the audacity to leap into the middle of a mob of angry berserkers with nothing but an oversized knife and an attitude from Hell?
And who not only fought, but wounded Shelob? The world's most badass gardener, Samwise Gamgee. Then he killed a bunch of orcs singlehandedly.
And let it be known Eowyn is no man but she did cave the Witch-King's head in.
It took three arrows thicker than his finger and bigger than his leg to take Boromir down. And the only reason he died at that point was because he was played by Sean Bean.
Agent Phil Coulson, of the Marvel Cinematic Universe. The short "A Funny Thing Happened On the Way to Thor's Hammer" shows that it is entirely justified.
In the 2011 film Warrior: Tommy becomes one in-universe after his video hits the web. He does eventually prove to be worth his fame.