The Amazing Race: Jaime Edmondson and, to a lesser extent, her team-mate Cara Rosenthal.
Castle: Castle is surrounded by fiery redheads (with varying degrees of redness): his spacy but tough mother, his sweet daughter who isn't afraid to tell him off when necessary, and his police detective partner who is a BadassAction Girl with a gun. In fact, as Beckett has defrosted and become much less icy and abrasive, her hair has softened◊ from a deep red to brown.
Commander In Chief: Vice-President Mackenzie Allen was encouraged by everyone to resign when death by aneurysm got a hold of the President. Instead, she took the Oath of Office, won the country, and was generally a spitfire who shouldered the responsibility of the Presidency without getting drunk on power - and God help you if you stood in her way. Fiery Redhead, indeed!
CSI: Catherine Willows borderlines this, as a strawberry blonde. It's not deep red, but probably got enough red mixed with the blonde to count. And she's got the personality to go with it.
CSI: Miami: Horatio Caine, sometimes. You definitely don't want to get on his bad side. He'll hunt you across however many countries it takes, as the Mala Noches could attest. He didn't exactly seem to have trouble getting women, either, though they kept getting killed for some reason.
Days of Our Lives: Melanie Jonas (formerly Melanie Layton Kiriakis). Despite being downright saccharine at times, if you get on her bad side, she'll really let you have it. Also, since she's about to gain her sixth love interest in less than three years, she definitely qualifies as an example of Heroes Want Redheads. Her Parental Substitute Maggie also fits this trope.
Defiance: Irisa Nyira, played by Stephanie Leonidas (who is not red-headed in Real Life). This leading to this comment IMDB: "Is it wrong of me to find her more attractive as an alien than the actor behind it?" and the reply, "Proof that redheads are just better?". Irisa is possibly also an example of the "Big Eyes" part of trope Big Eyes Little Eyes.
Fraggle Rock: Red, with her extreme tomboy nature, her...very high self-esteem, and her dominant personality (which itself causes numerous conflicts), plus her own explicitly stated desires ("The Tale of the Triumphant Princess" anyone?).
Glee: Inverted Trope: the only redheaded character is the super sweet Emma. Every other female character (except Brittany and Tina) is extremely fiery.
Law & Order: Special Victims Unit: When Assistant District Attorney Casey Novak isn't on the scene with guns blazing and taking a hands-on approach to the cases, she is in softball batting practice or bicycling to work.
Magnificent Century: Aleksandra/Hürrem. Almost the first thing she does in the series is to grab a breadknife and attack the slavers who are holding her and her countrywomen captive.
Melrose Place: All of the redheaded women on Melrose Place (at least eventually in Kimberly Shaw's case), but most noticably Sydney Andrews, the troublemaking, prostitute/stripper younger sister of Jane Mancini.
And this was not just reserved for women; there was also Dr. Bret "Coop" Cooper, as well.
My So-Called Life: Central character Angela Chase evokes this trope by dying her hair "crimson glow". Former best friend Sharon Cherski is a lot calmer and more manageable than Angela, but she still easily fits the trope. Same goes with Hallie Lowenthal, the series' resident adult Fiery Redhead.
Picket Fences: As seemingly the sole female cop in the boy's club that is the Rome Sheriff's Department, Deputy Maxine 'Max' Stewart definitely fits the prototype of the fiery redhead. She's determined, passionate , ambitious, outspoken at times and quick to anger.
Rescue Special Ops: Heidi. There are quite a few examples of this but one that stands out is when the Cops and Firies trick Chase out of RSO's equipment after he is put on light duties, Heidi uses her cleverness to trick both into giving the equipment back by giving them the information about a nurses party, she fails to mention that it's a male nurses party.
Revolution: Emma in the episode "Home". She wasn't a combatant like most other characters, but she didn't hesitate to get in Big Bad Monroe's face and call him out on his actions. She also attempted to make an honest appeal to his better nature. It didn't work, but he did admit that he wants to be the person she remembers so badly. She was his girlfriend at one time, so it gave them a special connection. Then, when he tried using her as a hostage, she didn't panic. In fact, she ended revealing that she gave birth to his son at some point in time and sent him away. Before she can tell him where, she got shot and killed. She had a major impact on Monroe from beginning to end.
Salem: Anne Hale, one of the few people to speak out against the witch hunt.
Selfie has a downplayed example in main character Eliza (played by Karen Gillan). While not exactly fiery, she is rather emotional, impulsive, and flighty.
The Sentinel: We have Naomi Sandburg, who seems like a peace-loving ex-flowerchild, until you threaten her son; Jim's ex-wife Carolyn; and Megan Connor, the Antipodean Amazon.
Sleepy Hollow has Ichabod Crane's wife Katrina. Abbie put it best after Ichabod despairs that he should have stopped Katrina from staying with the Headless Horseman to spy on Moloch's plans.
Abbie: She's a grown woman, a witch, and a redhead. You couldn't have stopped her if you tried.
Smallville: Tess Mercer. You do NOT want to get in her way or get her angry.
Spellbinder: Ashka, the callous, mean, chronically double-crossing and power-hungry bitch.
Star Trek: Deep Space Nine: Major Kira Nerys. Former Bajoran resistance fighter, current second-in-command of Deep Space Nine, and with an always fiery personality. She once beat the shit out of a serial killer while the equivalent of nine months pregnant. The personality type is implied by Chief O'Brien in the pilot to be a trait common in Bajoran women (probably referring back to Ro Laren, whose role the character of Kira was created to replace).
Star Trek: The Next Generation: Dr. Beverly Crusher - do not piss her off or you will find yourself dropped by Klingon martial arts faster than you can say 'hypospray'.