Badass Family/Badass Crew: More or less. His father (Jet), mother (Junko), and sister (Jasmine) all have (or at least temporarily possessed) Henshin powers. His girlfriend (Silvia) is also a super-powered heroine, as is her father, Captain Blue. Depending on the canonicity of the extra storylines in the first game (don't cross your fingers), the same would apply for Goldie (Silvia's twin sister) and Ivory (Blue's wife and Silvia's mother).
Chivalrous Pervert: Junko reveals to Silvia in Double Trouble that Joe's been skirt-chasing behind her back on a few occasions. Silvia does not enjoy this fact one bit.
Joe showed some tendencies for this back in the second game, where he continued to hit on Miss Bloody Rachel in front of Silvia. It was only through Silvia's continued threats (of both the verbal and physical variety) that Joe kept himself in check.
He also has shades of it in the anime, where he's even more enthusiastic about heroics if there are pretty girls involved, gives Jr. advice on attracting the ladies, and has at least one princess fall for him.
Not exactly, his costume was heavily based on Kaiketsu Zubat, especially how his mask closes before boss battles and the scarf. This on purpose, Joe is a parody and shout-out to old Tokusatsu shows such as the aforementioned Zubat and Kamen Rider.
Let's Get Dangerous: Joe doesn't exactly qualify for Crouching Moron, Hidden Badass, but he isn't exactly the brightest bulb in the box at times either. However, his playful banter and laid-back nature belies a cunning and fierce warrior (thanks in part to being veryGenre Savvy in regards to superhero movies) when the time calls for it.
Luke, I Am Your Father: Joe's parents are The Black Emperor of Gedow and Queen Heinderella of Madow, respectively.
Shout Out: His Red Hot Kick (normally) is the Rider Kick, while his costume's design (as well as his helmet's visor closing) is a homage to toku series Kaiketsu Zubat.
Stripperiffic: Despite the perpetual Panty Shot (either that or Underwear of Power; Silvia's undergarments are clearly visible underneath her skirt), her default costume is actually modest. During boss battles, however, the getup turns into a midriff-baring bikini and hot pants combo.
Vocal Evolution: Instead the mellow, sagely old man take present in the first two games, Gregg Berger voices Captain Blue with a much gruffer tone in Red Hot Rumble. Unsurprisingly, he sounds almost exactly like Jecht.
Start of Darkness: Discovering the Black Film and Black V-Watch. Double Trouble implies that the tragic loss of his wife was also a nudge in the wrong direction.
Well-Intentioned Extremist: Wanted to be the ultimate hero for his son, but was corrupted by the Black Film into being the Black Emperor.
Plucky Girl: Possibly overlapping with Action Girl and Badass Normal. Even without powers, Jasmine actually fights her way through the third level (with the help of Vanilla) before ultimately being captured. She's shown to be as skilled at martial arts as Joe is, believe it or not. And even when captured, she still manages to help out Joe from the sidelines, up to and including the final battle.
Gran Bruce: "Oi! You best shut up, mate. Otherwise I'll chew yer hind quarters like a big stick of... of... thingy... uh... ah, you know the... uuuuuh..."
Joe: "Gum! G. U. M. Gum! Gosh, do I have to spell it out on a chalkboard for you!?"
Boss Remix: "The Omnipotent" begins with an orchestral and very foreboding remix of the jingle that starts off every boss encounter. Also, compare "Blue the Justice" (the theme of Captain Blue during your sparring matches with him) to "Blue the True Hero" (the theme of Young Captain Blue, the final boss).
Recurring Boss: At least as a mid-boss. If he shows up claiming to be the stage boss, he'll just get taken down by the actual stage boss shortly after.
Motor Mouth: Most notable with his death speech, where he manages to cram more words into it than possibly all the dying words of all the villains in BOTH games.
Done a little differently in the anime, where his speech is much slower, yet he ends up inadvertently revealing sensitive information.
Boss Remix: A cross-title example, with "Blizzard Hazard" being a remix of his brother's theme ("Inferno Lord"), only with a much stronger emphasis on the electric guitar and one killer guitar solo.
You Killed My Brother/Avenging the Villain: Subverted, despite Joe thinking that he'd want to avenge Fire Leo; Frost Tiger is more concerned with having a great battle. However, the official strategy guide implies that it's still a motivational factor.
You Have Outlived Your Usefulness: Dr. Cranken gets furious when Rachel gains a heart, quickly killing her and remarking that now she's "nothing but junkyard trash."
Artificial Limbs: His right tentacle was replaced with a robotic hand.
Assist Character: To Cameo Leon during his boss fight. He hangs out in the background and alternates between attacking/sabotaging the player and healing his creation. It is possible to temporarily knock him out of the game by redirecting the missiles he fires back at him.
Amplifier Artifact: Dark Hero Jet Black holds the power of the seven Rainbow Oscars, boosting his powers and allowing him to appear in the real world with his film powers intact.
Battle Aura: Adopts the aura of one of your characters in the later stages of the final battle: Joe's fiery one or Silvia's electric one, both which can only be negated by a Zoom-ed in Red Hot/Cool Blue Kick from the character it belongs to.
This is also the crux of his gameplay in Red Hot Rumble. The power, range, and properties of all his specials are determined by the "charge" of his aura, which builds over time. Performing these moves will deplete his aura completely, as will attacks from opposing players.
Cherry Blossoms: His Issen special in Red Hot Rumble depicts him dashing across the field with a single, powerful strike as these flowers flutter behind him.
Gravity Master: Dark Hero Jet Black, after taking enough damage, will warp the area, causing the gravitational field to go out of whack and forcing Joe and Silvia to have very floaty jumps. Jet's movement speed during this phase is unaffected.
Heel Face Turn: It's even signified by Jet's Black V-Watch turning into a normal one.
Humongous Mecha: Dark Kaiser. Whereas all the other mechas are Godzilla-sized (able to span the circumference of the globe in a few steps; the only other exception is Six-Six, which is able to traverse the solar system), the Dark Kaiser is only exceeded in size by the Sun itself.
Large Ham: Mostly reserved, but dear goodness... once he breaks out the ham, there is no going back for him. This goes double for his Dark Hero persona.
Light is Not Good: As Dark Hero Jet Black, his costume is now white.
Reverse Shrapnel: During the first portion of the battle with Dark Hero Jet Black. Oddly enough, after Joe and Silvia regain their powers in a Clap Your Hands If You Believe moment, he stops using this move altogether, instead taking the battle directly to Joe and Silvia.
Samurai: His overall appearance and the katana he brandishes invokes this imagery.
Attack of the 50-Foot Whatever: Subverted. While she does grow in size when transformed, her default form (as well as the city she lives in) is miniscule in comparison to the rest of the cast, so her transformed state is about the same height as Joe. Relative to the city in question, though, she, Joe, and Jasmine would be seen as giants.
The Corrupter: Forces the heroes Joe encounters to make a temporary Face Heel Turn by stealing their essences ("their hero-ness"). In reality, nothing was ever stolen. It was an act by the heroes to bring Junko's plan to fruition.
Voluntary Shapeshifting: Underworld Emperor Alastor can—understandably so—assume the form of himself (as in, Alastor the Devil Arm), although he only demonstrates this in the cutscene prior to your battle with him, in which he attempts skewer Joe in the same way he impaled Dante in his debut.
Boss Remix: His theme as Another Joe is a techno remix of "Joe the Hero," Joe's theme (used in the first level of the game, and remixed again for the first level of VJ2). His own theme also receives a rearrangement in both 2 and Double Trouble, for justifiable reasons.
Breaking the Fourth Wall: When he appears in 2, he tells the player to immediately go pick up a copy of the first game if they want to know who he is. Also, see "Staying Alive" below.
Pointy Ears: Is revealed to have them while unmorphed.
Power Incontinence: Based off of the player having to voluntarily switch between Stylish and Blade Master Alastor in the first game, the anime reveals that Alastor has trouble changing out of his Henshin form at will and, as such, doesn't do so often.
Punch Clock Villain: Goes hand-in-hand with his Blood Knight status. As he states in the first game, he really doesn't care about Jadow's plans and only relishes the chance to face strong opponents such as Joe.
Recurring Boss: The only to show up in all of the games, in fact.
Red Eyes, Take Warning: Perhaps not naturally, but his visor gives off a very convincing illusion of this, even being prominently shown after the Another Joe fight.
Running Gag: He will always lament on his lack of screen time immediately after his presumed death. In the first game, he directs his pleas to the player; in 2, he falls out of the screen and chats with Jet.
Fridge Horror: He never had that re-appearance after the fight in Double Trouble.
But he did reappear in the final game Red Hot Rumble. Everyone must have expected it out of him.
Hired Gun: Makes a few snippy remarks about Blue creating a new threat for Dante to face at the end of the game (thus, "extending the contract"), but ultimately notes that this isn't the first time he's done a job for free.
Rule of Funny: His appearance can be chalked up to this. If you can read between the lines, it's almost as if Hideki Kamiya (who helmed both the original DMC and Viewtiful Joe) took the time to insert several Take Thats and Discontinuity Nods to Devil May Cry 2.
Hired Gun: Same as Dante. Unlike Dante, however, Trish even shows some Kleptomaniac Hero tendencies, as she berates Dante for not raking in any money when Captain Blue causes more trouble for Movieland at the end of the game and quips that if Blue doesn't have any cash, she'll take something else from him. Trish gets a V-Watch out of the deal.
Meaningful Name: A sprocket is a type of gear/wheel used to mesh with shafts to provide efficient transmission of rotary motion. As the Only Sane Woman, Cordinator Sprocket usually has to keep everyone in line in order to ensure that Jadow remains a well-oiled machine.
I Just Want To Be Loved: Tsukumo's main motivation. Due to jealousy/scorn at how props are overlooked, Tsukumo goes on a rampage and begins sabotaging the set of Blue's latest movie. After defeating him, Joe explains that props indeed play an important part in movies; without them, the movie itself wouldn't be possible. With news of this, Tsukumo leaves happily and is even made the star of Blue's film, much to everyone's surprise.