Admiral William Adama (among others) beats a superhuman robot to death with a torch, goes head to head with a more powerful vessel to save two crew members and always has the best epic speeches ever written.
One of the first things Kara Thrace does in the miniseries is go at it with Tigh. Later she rams Lee's viper onto her own and pushes it backwards to land both ships in the nick of time. And this is just the miniseries! Later she crash lands on a moon, rips open a Cylon raider, and learns to fly it in a matter of hours, duct-taping her name to the wings.
Laura Roslin is a political Badass who becomes president on the same day she got asked to resign and found out she had terminal breast cancer.
Bones: Temperance Brennan is trained in several types of martial arts and she's not afraid to use them, usually doing so with total calm and a perfect deadpan. There's a reason she's usually not allowed a gun.
The Master. Holds up the entire universe at ransom and kills the Doctor in "Logopolis", and when the Earth seemingly ends at the end of "The Sound of Drums", he dances to a pop song.
The Ninth Doctor. Able to make Daleks, which supposedly don't fear, just from raising his voice, not to mention willing to wipe out both the Daleks and the Time Lords just to stop the horrors of the Time War.
In the episode "Forest of the Dead", the Tenth Doctor reminds the advancing Vashta Nerada (shadow predators who can render victims Stripped to the Bone in a matter of milliseconds) that they're in the largest library in the universe, then tells them to look up "The Doctor". They do. Then they immediately back off.
Eleven gets a similar moment in his first appearance, telling the aliens of the week who are about to destroy Earth, "Hello. I'm the Doctor. In other words, run." They do.
Ace, who once beat the crap out of a Dalek with a baseball bat.
The Third Doctor, who was played by a real-life former spy. What other Doctor got to chase a villain in, successively, a car (while standing on the runner at the side of said car), a helicopter, a futuristic car designed by himself that flies (the Whomobile!) and an inflatable raft (driven over water and any land that got in the way)?
And most recently, Canton Everet Delaware III. Practically the Whoinverse's answer to Dirty Harry, he absolutely Shot Him.
Rory Williams. Guarded a stone cube holding his near-dead wife that was in stasis for nearly two hundred years, making it out of the London Blitz, all while at the time being made of plastic Shot a Dalek in the eye, stared down a Cyber Commander with a dismissive 'Oh, don't give me those blank looks', standing stony-faced while he a whole Cyber Fleet was blown up behind him for emphasis, then leading a hopeless-seeming battle against Headless Monks and winning. He also punched Hitler. He's made of Badass!
Leela, a knife-fighting savage who doesn't take any crap from the Doctor or the Monster of the Week. She tends to advocate personally dealing with the baddie at hand with her knife and huntress skills, and unlike most of the Doctor's female companions, she only ever screams once — and that's when a gigantic rat is chewing on her leg. Total. Badass.
Rose Tyler. Directly saved the Doctor more than once, accepted supposedly imminent death that would save the world without even pausing for thought in "World War Three", and stared down a Dalek when she knew it wasn't able to kill despite its threats in "Dalek".
River managed to make a Dalek beg for mercy three times in a row, while wearing a very small, very cold smirk on her lips. Then in the second episode of series 6, she killed an entire room full of the Silence without breaking a sweat while flirting with the Doctor, before being asked by Rory what exactly she's a doctor of and remarking "Archeology" while getting her gun back out of its holster to shoot a Silence without turning around. Keeping in mind that you forget about the Silence the moment you can't see them any more.
Dollhouse: Paul Ballard. He takes down three Russian mafia toughs after being shot, then a few days later, while still in stitches takes down four security guys, even after they taser him. And his fight with the other cast badass, Boyd should be the stuff of legends.
Farscape: The cast was made of badass. Even tiny Rygel earned some badass points, decapitating the man who had tortured him years before and carrying his head around on a stick for the rest of the episode. In the words of Zhaan (a priestess, by the way), they've "kicked more ass than you've sat on."
Actually, the entire crew of Serenity is badass, let's just leave it there. Even sweet Kaylee helps Serenity pull a Crazy Ivan while unable to stand because of a gunshot wound to the stomach. And Inara in the Big Damn Movie uses her Ojou-ness, via a flashbomb disguised as incense, as a front to knock out The Operative so she and Mal can escape from him. And Wash gets kidnapped, tortured by a complete psychopath, proceeds to continue his argument with Mal while doing so, and upon rescue, promptly stands up and starts planning a suicide mission back into Niska's complex to get Mal back. And he's just the pilot.
Saejima Kouga and Suzumura Rei. Both kick ass hard every time they fight. The fight in the final episode is the ultimate proof of this.
Saejima Taiga, Kouga's father is also a Bad motherfucker, Taiga was so badass when he was alive, that he was feared by most Horrors, even Messiah was supposedly afraid of him. Makai Priestess Jabi, Kouga's childhood friend is also a badass , capable of fighting powerful enemies without problem.
Any character that can fight is pretty Much a Badass this includes Kodama, the mute butler, GULM The Dragon for the series and even Legules from the first movie Beast of The White Night can qualify, since he can punch Makai Knights so hard, it KNOCKS THEM OUT OF THEIR ARMOR. Tsubasa Yamagatana from the same special also qualified, considering he manage to fight Kouga evenly and just get more awesome from there.
Makai Senki introduced more badass. From the protagonist side, we have Shijima Wataru, Kouga's instructor when he was a child and Leo Fudou, genius Makai Priest and secretly, a powerful Knight himself. From the antagonist side, we have Well-Intentioned Extremist, Sigma Fudou who was pretty badass, he even has a Black version of the Garo armor when he needs it in battle.
Barago took two trained Makai Knights and wipe the floor with them making little to no effort in trying to block their attacks, he's also Considered a Hero Killer since he was the one to take down Taiga.
Happy Days: Fonzie was the probably the closest thing you could get to Badass in a 1970's show imitating the 1950's. But still, he won every fight he was in, and always had a girl on each arm.
Heroes: Future!Hiro, HRG, Niki's alter ego Jessica, Sylar, and Claire.
House: Dr. House is as badass as a doctor can get.
I Carly: Sam Puckett. Threaten Carly, and you'll only survive if Carly lets you.
Jericho: Hawkins, who once frightened a man into giving up information by pretending he was going to be inflicting torture that would somehow involve Drano and knees.
Tendou Souji, who frequently displays confidence beyond the point of arrogance; to be fair, this rather unappealing trait is the reason his Zecter (henshin device) picked him as Kabuto in the first place.
Probably the biggest badass out of any of Shotaro Ishinomori's works, however, is Ken Hayakawa, of Kaiketsu Zubat.
Leverage: Eliot, Christian Kane's character in . The man held off three goons and a guy attacking him with meat cleavers using a saucepan, a whisk, and HORS D'OUEVRES! Then there's also the rest of the team as well, they managed to break a Steranko security system, which in the Hardison's own words "is considered overkill by the Department of Defense".
Most of the characters have had their moments, but Mr. Eko and Sayid are badasses all the time.
Mikhail "Patchy" Bakunin from the third season of Lost. He is zapped by the sonar fence, only to come back a few episodes later. In the finale, he is shot in the chest with a harpoon gun, then comes back to life minutes later, only to die while blowing open an underwater window with a grenade.
NCIS: Leroy, Jethro, and Gibbs. Admittedly, though, all the others have turns at this role - Abby repeatedly shocking a bad guy in season three while wearing a court suit and yelling at him, Tony beating up a guy with a knife despite being tied to a chair, and Ziva shooting and knife-throwing her way through episode after episode. Even McGee sometimes gets into the act. Then there's the season 7 opener.
There is the titular heroine, Nikita Meers, as well as her lover/ally and former handler/teacher Michael.
Percy, Amanda, Roan and Ari Tasarov as well. Owen Elliot occasionally.
Other characters get moments that qualify them for this as well, including Nikita's former student, Alexandra Udinov, her CIA contact Ryan Fletcher, as well as Nikita and Michael's friend and ally, Seymour Birkhoff. Very nearly Worldof Badass.
Carter Grayson. People might complain about his lack of Character Development, but this is the man who tried to run over the Monster of the Week with his jeep in the very first episode. How do you improve on that?
Wes of Power Rangers Time Force, he had no prior training and managed to kill two robot gruntswithout ANY ranger powers, at one point he stood in front of a Black Knight charging at him untransformed, just having the pure balls to stand right in front of an opponent armed with a sword and in the Grand Finale was shown going in alone against an entire army of robots and managed to actually smash a few cyberskulls in the process.
What, no love for Tommy Oliver?
What about Flynn and Dillon from Power Rangers RPM?, the latter drove through a nigh-impenetrable security system meant to keep the forces of the series equivalent to Skynet at bay without a scratch to his car, the latter did the same in a bus (andIS SCOTTISH!).
Pushing Daisies: Surprisingly, Olive Snook turned out to be the resident Badass. Surprising, because she's also The Ditz, usually manic, and less than five feet tall. Ned proved himself to be quite badass on a couple of occasions, especially his sword fight in "The Fun In Funeral".
In series 5, they gave Lister a badass upgrade. He also had some badass moments in series 7.
Even Rimmer (that's Arnold Judas Rimmer, not Ace), cosmic butt-monkey and all around failure, gets a baddass moment in the finale of season 6. In a story where they meet their future selves (all of whom are jerkified versions of themselves), whom then open fire on the "current" crew killing Cat, Lister and Kryten - Rimmer takes a gun and blows the time machine to hell as Starbug is blowing up around him. Prior to this point Rimmer was a coward who was afraid of his own shadow, despite being virtually indestructible as a hard light hologram.
Actually, Rimmer makes the transition to badass just before that. When deciding whether to give their future selves the Time Drive, or fight, he asks Kryten if they have any chance of winning. Kryten replies that they have no chance at all. Rimmer then votes for 'fight', producing perhaps one of the greatest phrases in the series: "Better dead than smeg." When Death comes to collect him he kicks Death in the balls. That vending machine was pretty badass, considering its a vending machine, "I will destroy you".
Rome: Titus Pullo, and to a marginally lesser extent, Lucius Vorenus. Two great examples are how they casually kill all the brigands who stole the eagle in the pilot "The Stolen Eagle," and how Pullo killed or maimed half the roughnecks in a gambling den and then survived brutal ancient Roman brain surgery. Then there's the episode where the two of them kill a rabble of gladiators. And then there's another episode where they slaughter an entire gang of criminals, so that Vorenus can confront (and then decapitate) the Big Boss. And let's not forget the sequence where Pullo and his gang confront a rival gang. The rival gang leader calls for parley. Pullo apparently accepts, taking the man's hand. Then he pulls him towards him and bites the man's tongue out before throwing an axe into someone's chest and charging whilst screaming. He later relates the story of him doing this in the manner of someone telling an afterdinner anecdote. Really, they're the epitome of Bad Ass, the pair of them.
Bra'tac, still kicking ass at over 130 years of age.
Sam Carter. BLOWS UP STARS!
Jack O'Neill. And Daniel Jackson. Actually, just say that most SG teams are made up of badass.
SGA is full of badasses:
Sheppard. He has a Wraith for buddy and he pulls off suicidal missions on a daily basis.
Teyla. She's essentially Xena on steroids, coupled with Mama Bear in the last season.
Even Rodney. It's a well-known fact that if you point a gun at his head, he can get shit done faster than Carter does.
The Asgard, as a race, are purified, weapons grade Badass with a capital B. You want Crowning Moments of Awesome as well as Badassitude? Just watch for an Asgard battlecruiser entering the scene. The Ori count as well.
Worf. He got a badass upgrade during the series, from defeating many Klingon Warriors all with a mek'leth in 'Way of the Warrior', to 'Call to Arms' where he faced 20 Jem'Hadar (who are also Badass Super Soldiers) in a consecuitive match, and killed them all until he was too tired and injured to even stand, much less fight. The First even said "I cannot beat this man, I can merely kill him."
As of the series finally, he had a pretty legitimate claim on being a Physical God, himself.
Bah, forget Sisko and Worf. Kira Nerys kicked major ass. Even when she was extremely pregnant!
Janeway had her problems, but she had the balls to make an alliance with the Borg in order to fight an even more powerful enemy. Go watch Scorpian again.
Captain Jonathan Archer of Star Trek: Enterprise was also pretty badass. In fact, it's pretty much a given that any Star Trek captain is a badass.
Malcolm Reed was also rather badass, kicking ass and taking names with his fists, phase pistols, Enterprise's shipboard weapons... Pretty much anything he could get his hands on. A word to the wise- he may be rather shy and quiet, but he will kick your ass if you threaten his crew or his captain.
While they might look young, cute and vulnerable and act like slightly pansyish woobies, you do not want to mess with Sam and Dean. Just ask Meg (still exorcised back to hell by Dean even after she told him their father was still alive), Gordon (beheaded with barbed wire by Sam after he took a bite out of Dean) or the Crossroads Demon (shot in the head with a bullet from The Colt by Sam after she told him there was no way of saving Dean).
And that's just when Sam has his big brother around. When Dean is killed off by the Trickster (he gets better, for a while) in season 3 Sam shuts down emotionally and becomes even more badass than normal and we are treated to a montage that culminates in him cutting off his shirt, removing a bullet from his abdomen and stitching himself back up, alone, without drugs, in a seedy motel room.
Special mention also goes to Dean, who unlike Castiel and Sam has no supernatural powers whatsoever: spending forty years in Hell, clawing his way out of his own grave, and being so far the only human on the show who's managed to kill an angel.
Castiel's also been getting his fair share of total badass moments since he came on the scene in season 4.
Out of all the villains on the show Lilith has to be the biggest Bad Ass of them all. Unlike Azael managed to pull of an amazing mix of Bad Ass and horror incarnate. (the only reason she let herself die was to finish her plan to release Lucifer).
Lucifer himself. Just, for example, when he takes out a hotelful of gods, and one archangel, in about five minutes, without any noticeable effort.
Veronica Mars: Weevil. For the first season, at least. This culminates in the second season, where he kills the guy who stole his biker gang by tasering him and taping the drugs he was carrying to the underside of the guy's bike, knowing that when he reported back to the crime family who owns the drugs that they would search the bike and "deal" with him - thereby leaving him in the clear.
"Stone Cold" Steve Austin beat his boss up, poured beer on him, filled his prize Corvette with mixed concrete, and pulled various other stunts, with no lasting ill-effect on his career prospects, despite attempts at George Jetson Job Security. He would also beat up teams of four, five, or more wrestlers on a weekly basis. His template has since been followed by many other top faces (though with considerably less success).