With the fading tradition of portraying gay people as effeminate, weak or perverted, and with some young people using the word "gay" as if it meant "incompetent" or "stupid", it still requires some skill to successfully make a character Badass while at the same time have the character directly or indirectly engage in same-sex romance. If done well, the contrast between the negative stereotypes and the awesomeness of the character can enhance the character(s) and/or the plot.
Note that gay romance or a gay/bi identity is enough for this trope - it doesn't have to be both.
The audience can be expected to regard a romance between two individuals of different genders as simply a romance, yet regarding a romance between two individuals of the same gender as a gay romance rather than just a romance. However, unless the work is about homophobia, don't expect the characters to encounter any homophobes raining on their parade. Except maybe a stray Straw Loser or two who likely ends up getting their ass kicked by the Badass Gay character. However, don't be surprised if they get suspiciously similarly discriminated against for some unrelated and maybe unearthly reason. Author Appeal or Author Tract may be involved.
May overlap with Manly Gay, Agent Peacock and Gayngster.
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Fire Emblem (no connection to the video games) from the series Tiger & Bunny. Appears to be just a Camp Gay character, but is a superhero and a successful CEO who dabbles in various business affairs for fun. He can get very serious when needed, though he rarely ever is. His costume even looks like a cross between Batman's and Gatchaman's.
General Blue from Dragon Ball. He may be a homosexual, but he's immensely powerful enough to defeat Kuririn and take on Goku. His homosexuality helps in some sense because Bulma tried to sexually distract him, and while he does momentarily lose his focus it's more out of annoyance from thinking she was a guy.
The series has a pair of badass lesbians in Sailors Uranus and Neptune. Utterly ruthless in their mission, willing to sacrifice individuals to save the world, and are shown to be entirely refined. It's little wonder that they're always fan favorites.
Bon Clay, Ivankov, and his followers from One Piece are probably among the gayest characters yet they seem kick a whole ton of ass.
Air Gear has Yasuyoshi Sano, otherwise known as "Aeon Clock" who fights on par with King-level Storm Riders despite not having any form of Regalia.
No. 6 has Nezumi. He's in a relationship with Shion. That's not hidden, although it isn't often discussed, and rather nicely threaded in with the plot. He also plays a woman on stage, though that's not uncommon for the setting. He's also a total Badass. No one doubts his badassery. Meanwhile, Shion himself shows insane amounts of determination and rather harrowing moments of Beware the Nice Ones when it comes to defending Nezumi. He throws coffee in Rikiga's face for even suggesting Nezumi try prostituting himself to earn money; he nearly throttles a man trying to kill Nezumi later on, and shoots a guard dead at near point blank range for injuring Nezumi. Shion may be stuck in Nezumi's shadow for a lot of the Badass moments of the series, but he's still got more than his fair share — especially in the original novels.
Juri Arisugawa from Revolutionary Girl Utena is a closeted lesbian and quite possibly the best duellist in the show. She's the only one whom Utena never truly outfought, as her defeat came about through either divine intervention (first duel) or Juri disqualifying herself (second duel). The same series also has quite a few badass bisexuals, particularly Utena herself.
Bobby Margo from Macross Frontier. Acts extremely Camp Gay outside of combat, but when shit hits the fan, he does a 180 and takes his job as the Macross Quarter's helmsman seriously.
Kamatari Honjo from Rurouni Kenshin. Despite looking like a girl in both face and bodyframe he can fight very well with a giant scythe/flail as if it was nothing, and shows and extreme and serious devotion to his master, Shishio Makoto.
Margot Knight and Malga Naruze in Kyoukai Senjou no Horizon. Working together they can take down a God of War which is generally considered impossible by anything other than another God of War or a battleship.
Dee and Ryo from FAKE have always been badass detectives in the series. But its not until the sequel where they've officially become a couple and Ryo has gotten over his gayngst that the trope finally sticks. Though in Dee's case, he'd be more Badass Bi.
Ymir from Attack on Titan is established to be a lesbian, and has the combat prowess sufficient to earn a place among the top 10 graduates in her military class. However, she intentionally slacked off to give her Love Interest a shot at a top score, and rarely shows her true skill unless it's to protect Krista. She's also a Titan Shifter, with speed and agility sufficient to make other Shifters wary of her. The second-ranked graduate, Reiner Braun, may be one as well. He has a tendency to make conflicting statements about his sexuality, but the highly-insightful Ymir states they're both "uninterested in the opposite sex" and he agrees with this assessment.
Shinobu Oomiya from Kin-iro Mosaic. She's a flamboyant lesbian and she's proud of it. Her main interest is getting blonde haired girls and she'll always use every chance she has to try to get them, sometimes using pretty cool methods like ninja skills.
Grelle Sutcliff from Black Butler is an insane and flamboyant reaper who wields a death scythe in the form of a chainsaw and is one-half of Jack The Ripper. She can be at times a ruthless and bloodthirsty character (to the point where her favorite color is red for the sole reason of it being the color of blood) that will kill off her own allies once she loses interest in them, with a crazed grin on her face and feeling no remorse afterwards whatsoever. Though much of fandom continues to insist she's a gay man, Word of God has indicated that she is a trans woman, and her relationship with Madame Red qualifies her as bisexual.
Shizuru Fujino from Mai-HiME spends most of the series lying low and hiding her HiME status, but when she lets loose when her crush Natsuki is in danger she absolutely destroys Nao in their fight and obliterates the First District during her Sanity SlippageRoaring Rampage of Revenge. Also of note is that Natsuki technically never outfights her and Shizuru seems to have the upper hand during most of their battle, only stopping with Natsuki gets her into a Cooldown Hug and has her CHILD kill both of them (they got better). Natsuki herself qualifies as a Badass BikerDual Wielding small pistols, and the artbooks confirm she gets together with Shizuru after the series.
The alternate universe sequel series Mai-Otome is far less ambiguous about Shizuru and Natsuki being a couple, and the two of them combined make up two of the five Columns and some of the strongest Otome in the series.
Despite the frequent instances of Les Yay, there are only a few confirmed lesbians in the cast of Queen's Blade. This being a World of Badass, they fit right here. Echnida, in particular, has a lesbian relationship in her backstory with Irma, who herself qualifies, and Irma hates her because they broke up rather acrimoniously. Echidna is powerful enough that three days of training with her makes Leina strong enough to take out her nigh-unstoppable sister.
Mina Hazuki from Darker Than Black is able to fight the protagonist Hei to a standstill three times and has a distinct preference for women, something that makes the fact that her renumeration for using her powers is to French kiss men annoy her greatly. On one occasion she tries to get "rid of the taste" by rinsing her mouth with vodka and kissing a women right afterwards.
The retconned Alan Scott/Green Lantern (formerly straight and married to two different women with two kids in the original universe, now openly gay in the re-imagined parallel universe) for DC's New 52 Earth 2 JSA probably counts. Ironically, by making Alan Scott gay, they had to erase his equally gay and equally badass son from existence, and James Robinson even said he made Alan gay because Obsidian (Alan's son) was retgonned due to the New 52 and he felt bad that a gay character had been lost.
Let me make this situation clear for you. I know what special abilities you have. I can see the enhancements. I can detect the increased electrical activity in your brain. I know what moves you're preparing to make. I've fought our fight already, in my head, in a million different ways. I can hit you without you even seeing me. I'm what soldiers dream of growing into. I'm what children see when they first imagine what death is like. I'm the Midnighter. Your Move.
His husband/love interest Apollo is quite badass as well.
Rotor the Walrus from Sonic the Hedgehog is gay. Rather notoriously, Sega ordered the creators to keep his sexuality low-key.
Rictor and Shatterstar from X-Factor, both of whom can kick plenty of ass with or without powers. While Shatterstar doesn't seem to think of love in terms of gender, Rictor recently came out as gay and not bi, as previously assumed (he had been in on-panel relationships with women, but apparently never found them fulfilling).
The current Batwoman was ousted from the military after being caught in a relationship with a fellow female cadet. She fights shapeshifting animal henchmen with only her average strength and wits and has survived being stabbed in the chest.
Before Watchmen, has Silhouette; determined young defender of children and the vulnerable. Captain Metropolis and Hooded Justice also count, the former ex-military who organized the team, the latter a large man who once threw a statue through a window at some armed crooks and charged in after it.
Ultimate Spider-Woman has come out of the closet as a lesbian with an interest in "natural redheads" and "Jewish girls", which isn't all that surprising considering she is a gender-swapped clone of Peter Parker and has all of his memories.
Felicia Hardy/Black Cat, being bisexual in the main universe and married to a woman in the alternate universe of Spider-Girl.
Future Fungus/John and PixelFace/Finn in Red Lightning. Both are extremely powerful Super-Psychos, capable of dolling out massive damage. Note that the only no indication is given that either one of them is gay, until when John gives Finn a quick snog.
In the parody film Stripperland, the badass Tallahassee parodied character, Frisco, is revealed to be gay.
In the film version of Watchmen (but not the comic), the lesbian "Silhouette" was arguably the coolest of the first generation of superheroes. In both versions, the homophobia against her from other superheroes is used as a narrative tool to portray the superhero subculture as being morally bankrupt.
"Gay" Perry in Kiss Kiss Bang Bang is a very tough Private Detective. In one scene, it turns out he's hidden a gun in his crotch, because if he's frisked by a man who knows he's gay it's the best hiding spot. When Perry uses it, Harry experiences a moment of confusion about whether there was a gun in there or it was "a gay thing".
The Mad Max series sprinkles gay subtext in both heroes and villains.
In Mad Max, the police captain is an enormous mustacheoed man named Fifi who wears his police leathers with a particularly "leatherman" look. The villainous biker gang are often shown dancing with each other. Toecutter also has several very homoerotic exchanges with the gang's twink, Johnny the Boy.
In Harry Potter and the Deathly Hallows, the final book of the Harry Potter, we finally get Dumbledore's backstory. It details how his friendship and rivalry with Gellert Grindelwald made him the Badass Mentor he has been throughout the series. However, it's so subtle most people (besides the obvious) never thought about it until we got a Word of Gay.
In The Vampire Chronicles, one of the strongest vampires from all of time, due to his encounters with different prominent vampires, and a total badass is Lestat. Even tough he was a total badass gay (or Bi, maybe) before becoming a vampire gaining the title of "wolf killer", it's afterwards that he becomes a rich, respected and well known vampire.
In Homer's "The Illiad", Achilles's desire to enter battle (after a period of being in his tent) with Hector is ignited when Hector kills Achilles's male lover Patroclus.
In the final novel of the Slave World series, two female protagonists have to go on a daring rescue mission behind enemy lines - infiltrating the timeline they once belonged to, as England is on the edge of getting psychopaths as their new rulers and the cold war between the timelines threatens to erupt into a full scale war between the worlds. The queen trust these women with this mission not only because of their well known intelligence and skill, but also because of the one thing that make her certain that they will never betray England at this crucial point in history: Their undying devotion to Lady Isobel and Lady Abigail respectively.
J. R. Ward loves this trope- in her Black Dagger Brotherhood series, Blaylock is the prime example, but there are several other gay/bi characters that are still dagger wielding vampire warriors capable of kicking all kinds of ass.
Mercedes Lackey's Heralds of Valdemar series has some gay, lesbian, and bi Herald characters, and as Heralds they're required to be badass, psychic soldier-rangers. Herald-Mage Vanyel was especially badass, being one of very, very few people to achieve the huge power of a mage adept, and almost single-handedly holding off an entire army that attacked his country. He was also pyrokinetic, telepathic, empathic, telekinetic, and clairvoyant, a skilled swordsman, an important advisor to the king, and able to predict the future.
Dekka from Gone is a lesbian example, and, as of Fear, Edilio qualifies as well.
CnaiŘr urs Ski÷tha from R. Scott Bakker's Second Apocalypse. He is an unparalleled murderer, strategist, and tactician, as well as being one of the only characters that can resist Kellhus' manipulation and eventual domination.
The Mortal Instruments has Straight Gay Alec Lightwood, demon hunting Shadowhunter and protective older brother, as well as his boyfriend, Camp Gay (technically bisexual) Magnus Bane, an immortal warlock and one of the most powerful characters in the series. Sister series The Infernal Devices has Magnus's ex-boyfriend Woolsley Scott, eccentric leader of the werewolf pack. Head vampire DeQuincey is also hinted at as being bi.
Lesbian examples include Aline Penhallow and her girlfriend Helen Blackthorn, both notable Shadowhunters.
It's also rumored that Oberyn "The Red Viper" Martell, one of the most badass characters in the series, was bisexual.
There's also Jon Connington, commander of the Golden Company, who was in love of Prince Rhaegar and in ADWD leads the taking of a castle with almost no casualties. This is extremely rare in the setting.
Goran Beviin, gay Mandalorian mercenary in the Star WarsLegacy of the Force novels. So tough that he can teach Jaina Solo, a Jedi Knight, a thing or two about fighting.
In Andrei Belyanin's novel The Redheaded Knight, a Medieval knight is sent by a witch's curse to modern-day Russia, where he meets a teenage girl and her Camp Gay best friend. When told from the perspective of the Big Bad, she references a prophecy that the knight, his lady, and a "fearless warrior" will bring ruin to her evil kingdom. She's not sure how the gay guy is supposed to be this "fearless warrior". Then the trio starts time traveling. One of the places they end up is a World War II battlefield, where an artillery crew is attacked by the witch's black riders (her sons). The gay friend suddenly jumps into a patriotic fervor and commands the crew to open fire on the black riders. His inspiring words allow them to drive off the immortal foe.
Alec and Seregil from the Nightrunner series are both bi, and both incredibly badass.
Richard St. Vier in Swordspoint. He's universally acknowledged as the greatest swordsman in the city, and his exploits are enough to have made him a living legend.
Robert B. Parker's sons were both gay, and he included several characters like this in his novels. Teddy Sapp from the Spenser series is an ex-Airborne weightlifter and nightclub bouncer with a black belt in karate, and on par with both Spenser and Hawk for sheer badass potential, backing them up in fights a few times. Similarly Lee Farrell is a member of the Boston Police Department who helps Spenser out and can hold his own in a fight. Spike from the Sunny Randall series is similarly badass and capable of scaring the crap out of anyone who might want to try something simply by standing quietly in the corner.
In The Heroes of Olympus, Nico di Angelo is one of the most powerful demigods in the world. In The House of Hades it is revealed that he is (or was, at least) in love with Percy Jackson, who is very much in love with his girlfriend.
Felix Harrowgate, from The Doctrine Of Labyrinths, is the most powerful wizard in the country of Marathat and possibly on the entire continent. He stays pretty busy: not only does he spend a lot of time seducing men, calling everyone "darling," and fussing about his clothes, but he also kills the then Big Bad and burns out an insane Magitek robot just by thinking really hard about destroying them. Even after a council of wizards binds his magic, he still saves the country of Corambis from an ancient engine of destruction that might have killed everyone within hundreds of miles.
Louis and Angel from John Connolly's Charlie Parker Series of supernatural detective novels. Having semi-retired from their former careers as assassin and burglar, respectively, they usually appear as the Big Damn Heroes whenever Parker is in need of back-up, and are occasionally shown to have a nice sideline in scaring the hell out of any homophobic types who attempt to cause them trouble.
Stew, Novak's right hand man in Undead on Arrival, is gay, married, kills zombies by the boatload with a machete, and is probably the person most capable of leading Devon.
Cut & Run an M/M crime romance series by Madeleine Urban & Abigail Roux has FBI Special Agents Ty Grady and Zane Garrett, who are both bi and both undeniable badasses.
Marian Alston in Island in the Sea of Time is a katana-wielding lesbian Coast Guard officer. And she is fucking awesome. Her lover Swindapa might also qualify.
Game of Thrones: Ser Loras Tyrell is a tourney champion who has beaten notable knights such as Ser Jaime Lannister and Ser Gregor Clegane. He is also a hero of the Battle of Blackwater, where he led the cavalry charge which defeated Stannis Baratheon's forces. The Knight of Flowers commanded the vanguard disguised as the "ghost" of his recently deceased lover, Renly Baratheon. While Loras' orientation gets him showered with pity, scorn and/or disgust, nobody doubts his skills as a fighter, even those who make fun of his homosexuality. Lord Tywin Lannister, Lady Olenna Tyrell and others have openly expressed amusement, disapproval or abhorrence at his tendencies, yet all have stated that he is a brave and capable warrior.
The Wire: Omar Little. Additionally Snoop, a female gangster, and Kima Greggs and Lieutenant Rawls on the police side.
Danny Mahealani, from TeenWolf, is quite simply, freaking amazing. He is one of the only two characters who can control Jackson; is extremely sassy; plays goalie on the lacrosse team and, by the age of 13, he was an experienced computer hacker. And he's still got it.
Caprica: Sam Adama is a tall, muscular mob enforcer/hitman. At one point he infiltrates a government minister's mansion, while shirtless, poses dramatically showing off his muscled, tattooed torso and then proceeds to slash the guy's throat. Also fond of beating people up, inflicting property damage and anything involving firearms. His long-suffering husband is mostly okay with all of this, but still has limits...
Sam: Larry hates it when I come home bloody.
Battlestar Galactica's Felix Gaeta (gay or bi depending on who you ask), not to most people's eyes a physical badass but at various points in his career: saves the entire fleet through computing genius; foils a ballot-fixing plot; basically runs an entire colony; saves said colony by staying in his government position after the Cylons occupy it and putting his life on the line to ferry information and codes to the Resistance; stares down a murder committee, including a batshit Starbuck intent on airlocking him, and refuses to beg for his life; gets shot and endures a transtibial amputation without (general) anaesthetic; commits full-blown armed mutiny; stonewalls the Adama Death Glare like a pro; and faces his execution with his chin up and a smile on his face. Now that's badass.
Despite her VERY questionable ethics, Admiral Cain almost certainly counts
In season five of Buffy the Vampire Slayer, Willow has arguably grown past the slayer herself in badassery, powered by her relationship with Tara.
Tara would count as a Badass Normal. Then there's Kennedy. A Slayer. They bench 400 pounds, they have to so they can fight vampires and demons, and Kennedy is quite openly gay.
Spartacus: Blood and Sand has this in spades. The first season has Barca and Gnaeus, the prequel season has Barca and Auctus, and the third season has Agron. Aversions are Pietros and (in early season two) Nasir. Due to the differences in Roman times, homosexuality is not seen as an affront to their testosterone poisoned culture.
In Torchwood, everyone is bisexual and a badass at their job. For example, Captain Jack successfully asks his male co-worker Ianto out on a date while they are in the middle of saving the world together. Jack is of course the most notable exemplar of the trope, especially since being immortal lets him take risks (and their inevitable consequences) none of the others would dare consider.
In the Doctor Who episode "Day of the Moon", Canton Everett Delaware III is shown to be a badass government agent who helps the Doctor defeat the Silence after getting kicked out of the FBI for "wanting to get married" in 1969. Right at the end of the arc, Nixon asks him if the person he wants to marry is black, because he would be willing to push to overturn that law. "Yes," says Delaware, "he is."
Then there is Jack Harkness again, in "The Empty Child" - in which we see him hit on an RAF fighter pilot (all of whom were male at the time) and not long afterwards come within seconds of destruction in the course of intercepting and diverting a German bomb, and this was before he gained his immortality.
Bonus points that neither the lovers themselves, their friends nor even their enemies even notice that Jadzia and Lenara are of the same gender, in spite of both of them being very feminine. They are, instead, persecuted because the symbionts whose memories they each carry were already married in previous hosts. "Reassociation", as it is known, with a past host's spouse is strictly forbidden and highly taboo in their culture. As a result the episode is full of Does This Remind You of Anything? conversations as the two first try to deny their feelings for each other (until Jadzia saves the day and wins the girl) then try to hide it from Lenara's well-meaning but judgmental brother in order to avoid persecution and exile (which would be an eventual death sentence for their symbionts).
Elim Garak, the pansexual semi-retired spy and mostly-retired Torture Technician who can outdraw Jem-Hadar, look a man into breaking down in tears, and kick his own crippling claustrophobia in the metaphorical ass to get the job done.
Oka from Deep Love and nobody expected it because he also doubles as Camp Gay, but when he rescues somebody from three tough men, wow.
Oka: "Don't underestimate fags or else you'll pay for it!"
Noah's Arc: Wade, specifically after Noah is gay bashed. Wade goes out and gets revenge.
Todd, the winner of the China season, could also qualify as a longtime fan of Survivor who schemed and smooth-talked his way to the top.
On The Good Wife, Kalinda Sharma, who smashes car windows and beats mean with baseball bats and saves the day once an episode. More badass bisexual, though; she doesn't seem to subscribe to labels much.
Micheletto on The Borgias takes this trope up to eleven.
'Lafayette Reynolds from True Blood definitely qualifies.
Jeff Bloovman, the winner of the incredibly hardcore Discovery Channel reality show "One Man Army" in which contestants do a number of tough and dangerous tasks, including breaking down reinforced concrete walls, having to break locks while being submerged in water for a long period of time, and so on, revealed he was gay after the host asked why Jeff had never joined the military.
Kurt Hummel of fame has certainly come to count as a musical theatre Badass Gay. Especially after his actions in 4x13, in which he calmly, coolly and glorious calls out Rachel Berry on her appalling egotism and horrendous behaviour, cracks the foundations of her overconfidence with one perfectly-delivered (and three-years-overdue) revelation, challenges her to a diva-off rematch, and wipes her off the map with a flawless rendition of 'Bring Him Home' when it matters - the first time anyone in four seasons' worth of Glee has challenged Rachel Berry and come out of it with an entirely unqualified win. The perfect set-down he gives to her former sycophants in the wake of his win is just the icing on top of his badass cake.
Blaine Anderson. He wears bowties, sings Katy Perry, and boxes.
Diana from White Collar kicks ass as an FBI agent and is nonchalantly gay.
Rick from In The Flesh is a soldier who goes off the way and is awarded a medal for his actions, however he's less of a man when his father is around.
In the U.S. version of Shameless we have Ian Gallagher and Mickey Milkovich, the latter of whom gets extra points for being a Satisfied Street Rat. Ian is tough, Mickey is an outright thug who does not hesitate to beat people up. Love at First Punch is definitely a part of the relationship here. Not many people react to being woken up by someone threatening them with a tire iron and having a brawl, only to end up having passionate sex with them.
It also helps that the Realm is Exceptionally Tolerant of homosexuality, compared to many Real Life societies (and even many societies within their own world). The only caveat is that you must provide an heir once you're married, regardless of whether you enjoy heterosexual sex.
Aberrant has the Queer Nova Alliance, a group of LGBT Novas. While a good chunk of them are entertainers, there are a few active combat Novas amongst the group, including founders "Ironskin" Andy Vance and Jake "The Dragon" Korelli (who are husbands, to boot). And then there's the big antagonist of the line, Divis Mal, a Magneto figure who preaches that Novas have transcended humanity and all its moral constraints... and who is utterly devoted to his lover, Jeremiah Scripture.
Zevran, as well, though he is a bit depraved, he's still pretty badass.
And a female Warden romancing Leliana, or a male Warden romancing Zevran.
Dragon Age II went above and beyond with this. Anders and Merril are both very powerful mages. Fenris is a strong warrior who's lyrium tattoos let him phase through things, including his enemies. Isabella just likes duels. And of course they're all outdone by an appropriate gender Hawkeromancing any of them.
Dragon Age: Inquisition gives use Dorian, a Tevinter mage, and Sera, an elven archer, who are both options for the appropriate gender Inquisitor (who also counts if played as such).
While this is never stated in canon, the PokÚmon fan community often holds that Dugtrio are homosexual trios of Diglett. (This is particularly implied in PokÚmon Mystery Dungeon, where all three of Diglett's parents are referred to as male.) Dugtrio is also a decently strong battler, with very high speed for a Ground-type.
The asari of Mass Effect. All women, all omnisexual, all powerful biotics. Even the dancers can kill people with their brains and their commandos are acknowledged as the deadliest opponents in the galaxy in a one-on-one fight.
Kaidan Alenko is a marine with over a decade of experience and over a dozen special commendations, and is one of the strongest human biotics. He actually became more badass, to the point of outranking Shepard and becoming the second human Spectre, alongside the confirmation of his bisexuality.
Steve Cortez is an exceptional pilot who can give Joker a run for his money, and in Leviathan and Citadel he picks up an assault rifle and fights alongside Shepard's squad.
And the first case BioWare put out of the closet: Juhani. Jedi Guardian (built for fighting). So hand a Cat Girl a lightsaber and enough Force Powers to knock you across a room with a temper that's kept in check mostly by the Jedi Code. Sweet lady, but don't piss her off.
All of the canonically non-heterosexual characters in Metal Gear (Ocelot, Volgin, Scott Dolph and Vamp) qualify to some degree.
In Fallout: New Vegas, the "Confirmed Bachelor" and "Cherchez La Femme" perks turn the male and female Courier into this. Curiously enough since both perks give a 10% damage bonus against enemies of the same gender as the Courier and the overwhelming majority of human enemies in the game are male, this means that the game encourages players who choose a male PC to make him gay for Min-Maxing purposes.
Veronica is a lesbian, and she's quite comfortable in power armor and tends to punch things so hard they explode.
Christine, all but stated to be Veronica's ex-girlfriend in the Dead Money expansion, is no Shrinking Violet either.
Arcade Gannon is also homosexual and is proficient in Energy weapons. Depending on how you complete his quest, he may even suit up in his father's old Power Armor to join in on the battle of Hoover Dam.
Makoto in Enchanted Arms. At the beginning he is pretty camp gay. But when he reappears as the mysterious man he has changed... A lot. He still crushes on Toya though.
Heather in Fire Emblem: Radiant Dawn is a confident, competent rogue who joins the party only because she has eyes for Nephenee.
Coming back to BioWare, Jade Empire has Sky, a dashing rogue with impressive sword skills on a mission to avenge his daughter's death, and Silk Fox, a mysterious ninja-like woman (and Rebellious Princess) who attacks the player upon their first meeting. Both are romanceable by either gender. Particularly of note are the Closed Fist endings: Sky and the male player co-rule the empire with an iron fist; Silk Fox/Sun Lian and the female player do the same (as well as in the Open Palm ending, but in a more benevolent fashion), and it's implied that they take turns donning the Silk Fox costume to terrorize their enemies.
Capcom outed Zangief years ago. It really shouldn't have been a surprise considering that one of his most damaging attacks involved shoving your face in his crotch.
Bill, from The Last of Us. The Left Behind DLC shows that Ellie and Riley are gay too. Ellie, in a moment where her desire to kiss Riley overshadowed her desire to not risk their friendship, kissed Riley and then apologised. Rileys answer was to smile and ask "For what?
There's also Dirk, aka the B2 counterpart of Bro Strider, who is arguably the best (and certainly the fastest human) physical fighter in the comic. Both sides of this trope are probably best encapsulated in the autoresponder's description of how he would confess to Jake:
TT: If it's me going through with this, hypothetically,
TT: I'm not dropping some limp wristed shucks buster on his ass, and praying to the horse gods of irony for reciprocation.
TT: There will be no rocking back and forth on pigeon-toed feet, while my face flushes with the blood of a thousand timid bishies.
TT: I will not hold one tentative hand behind my head like a flustered asshole from an Asian cartoon, nor will an oversized bead of sweat overlap ludicrously with my visage.
TT: If it's me, I'm going all out.
TT: Oceans will rise. Cities will fall. Volcanoes will erupt.
TT: What I'm saying is, it's going to be a scene, and bystanders need to brace themselves.
And then Rose Lalonde also qualifies, since while her exact orientation (as in whether she's lesbian, since she flat out kisses Kanaya, or bisexual, since she has playfully flirted with boys) hasn't been determined, but she's very, very badass herself. Maybe it runs in the family, since her genetic father through weird time and universe shenanigans is the aforementioned Dirk.
Cwynhild of Cwynhild's Loom is a cyborgSuper Soldier who is openly lesbian. She typically dresses more like the male characters in the comic, and she has a bad habit of letting pretty girls talk her into doing things she probably shouldn't.
It's Walky!: Beef smashes through several agents, and shrugs off gunfire, Daisy steps up, and unloads her entire clip directly into his forehead, piercing his thick skin and killing him. Though the trauma of killing her teammate makes her useless for the rest of the fight.
In another Humon comic, Agent 250. He's a battle-scarred vet in his late-forties who complains about being reassigned to a desk job after a shrapnel bomb shredded his knee. This just about sums up his badass.
Mille Chanteau of Ilivais X is incredibly strong-willed, consistently enthusiastic (unless X is screwing with her temperament), superbly hammy, and head-over-heels for Iriana. While she is interested in men as well, the story undeniably is focused on their relationship. Similarly, Iriana, while nowhere near as tough and optimistic, at least TRIES to make people think she's a cold-blooded badass, and while she tends to fail, she does have her moments.
Ray Gillette is a pretty badass gay dude from the Archer series
Jean and Paul from Superjail! are both gay, but are among Superjail's most badass inmates. Not only do they survive the regular chaos around the living murder facility they inhabit, they were both leaders of the most dangerous gangs in Superjail before they retired and became a couple.
One by-product of the debate in the U.S. of allowing gays and lesbians to serve in the military is to raise awareness of how many already are serving with distinction, and have served throughout history.
Alexander the Great, though debatable since he was after all Greek, some historians suspect his sudden death was brought on by heart break after his lover and man at arms had died, but before that in a stint of just 12 years he conquered his way through the entire Mediterranean, Egypt, Persia and only stopped at India because of monsoon season and his mens homesickness.
The Sacred Band of Thebes, 150 same-sex Battle Couples, so mighty that they handed Sparta its ass a few times.
Phillip of Macedon (himself known to have been bisexual), father of Alexander the Great, considered the Sacred Band to be very worthy opponents indeed, and has been quoted as saying as such.
"Perish any man who suspects that these men either did or suffered anything unseemly."
Siegfried Sassoon, the World War One poet. When he wasn't writing (justifiably) angsty and horrific war poetry or protesting the war's improper prolongation, he was crawling out into No Man's Land on regular German-hunting patrols. Robert Graves, in his autobiography, describes him as flipping between happy warrior and bitter pacifist, and describes his battlefield activities with the words "wholesale slaughter". Consider that Graves himself was an active combat officer in one of the most Godawful wars in history, and it gives you some idea of what Sassoon was like.
Comedian and talk show host Graham Norton was stabbed in the heart, and is absolutely fine, and this fact is hardly ever brought up.
Sally Ride, badass enough to be a physics professor, a successful entrepeneur, a presidential advisor AND the first American woman to go into space, had been with her partner Tam O'Shaughnessy for 27 years at the time of her death in July 2012.
Homosexuality was as common among the samurai of feudal Japan as it was among the Ancient Greeks. At the time, a man could wear a furisode (a long sleeved kimono typically worn by young ladies) to advertise that he was the lover of a warrior.
Winston Churchill once cited 'rum, sodomy, and the lash' as the three great traditions of the British Navy. The story was that sodomy was considered legal after thirty days at sea. In a bit of irony, rum rations and punishment by the lash have been abolished by the Royal Navy. However, the U.K. recently allowed homosexuals to openly serve in their armed forces, as well as legalizing same-sex marriage. The running joke being that the Navy now runs on sodomy alone.
Frederick The Great was widely considered homosexual by his contemporaries and today by many historians. His court was distinguished by frequent homoerotic jokes and poetry, and his association early in life with Prussian nobleman Hans Herman von Katte is often thought of as romantic, though the truth will be never known(and later on possibly also Voltaire, although their relationship was more of the Slap-Slap-Kiss variety). However, he was focused on war and governing the state more than on sex and romance, and held open admiration for Maria Theresia, so whether he was gay, straight, bi, or asexual is still an open question. This, mind you, is a man who simultaneously held off France, Austria, and Russia (the three most powerful land armies of the day) and laid the groundwork for the formation of a unified German nation. Napoleon said of Frederick (after defeating Prussia) "If this man were still alive, we would not be here."
Freddie Mercury deserves a mention, not just because the awesome musician he was, but the fact he was still composing and recording even to the verge of death.
Antoine Dodson. Yes, the "Hide your kids, hide your wife" guy. What few people remember about that news story was that he stopped and fought off an attacker who broke into his house and attempted to rape his sister. But he eventually became a Hebrew Israelite and is "no longer into homosexuality".
Julius Caesar was very likely bisexual. Suetonius reports that he was called "every woman's husband and every man's wife".
Leonardo da Vinci, a truly awe-inspiring example of Badass Bookworm, had several male lovers and was put on trial for sodomy in the 1480s. And the allegations only temporarily inconvenienced him because the people in a position to hire him cared more about the Badass than the Gay.
Ernst R÷hm was an army captain and a veteran of World War One and the Freikorps. During the twenties and early thirties he led the armed wing of the Nazi Party until he got to powerful and Hitler had him killed and his organization purged. He also liked to fuck men.
Billy Herrington. Learning karate from his father, a sensei. He had interests in boxing, wrestling and martial arts, but did not start bodybuilding until he was 24 years old, after moving to New York City.