My, Mr. Wolf, what gruesome bullet wounds you have!
When the little girl opened the door of her grandmother's house she saw that there was somebody in bed with a nightcap and nightgown on. She had approached no nearer than twenty-five feet from the bed when she saw that it was not her grandmother but the wolf, for even in a nightcap a wolf does not look any more like your grandmother than the Metro-Goldwyn lion looks like Calvin Coolidge. So the little girl took an automatic out of her basket and shot the wolf dead.
(Moral: It is not so easy to fool little girls nowadays as it used to be.)
Ringo Akai from Ookami-san is a Japanese version of Red Riding Hood, carrying weapons in her basket and often showing a Battle Aura of malign power. She largely acts as support to the fighters in the group, however.
This is one of Sophie's figments of the imagination she meets in the Immateria in Promethea. Notably she criticizes Sophie for drawing her guns poorly while fighting humanity's subconscious fear of wolves.
Mark Texeira's re-imagining of the tale for Penthouse Comix. "Red" is a werewolf hunter who catches her quarry by posing as a prostitute and...you can probably figure out the rest.
In Crimson, a comic book about vampires (and other monsters) there was a badass female who wore a red hood named Scarlet (obviously). While in the story she fought with and against, mostly vampires, her origin centered around fighting werewolves (obviously).
In Hoodwinked!, if Red Puckett thinks you're trying to harm her, you ought to rethink threatening her, as she's the Forest Regional Karate Champion. The Wolf learns this the hard way:
The Wolf:[into his tape recorder] Suspect is approaching on foot, stolen recipes in basket. I'm about to catch her red-handed. [steps out from behind the tree he is using as cover when Red gets close; she freezes] Hand over the basket!
[Red whips out a can of "Wolf-Away" and sprays him]
Red Puckett: Hi-yah! [She starts kicking and punching him viciously. We cut back to the Wolf's present day interview by Flippers]
She puts in a reappearance in "The Three Little Pigs", and by the end:
Not only has two wolfskin coats,
But when she goes from place to place,
She has a pigskin travelling case.
The very earliest versions of the folktale didn't include the hunter, killed the grandmother off for real, but had Red Riding Hood escape the wolf by herself, if she wasn't eaten. Perhaps we have a Cyclic Trope on our hands?
Angela Carter, known for making updated, modernized versions of fairy tales (many of them collected in The Bloody Chamber), has two short stories involving this to varying degrees. In Werewolf, the little heroine is attacked by a werewolf on her way to her grandmother's place and cuts off its paw with a knife. Upon arrival, she finds her grandmother delirious and missing her hand. The grandmother is subsequently stoned to death and the little girl inherits her things. In the other story, The Company of Wolves, the girl meets a charming young man on the way. When she arrives at the house, she finds that the young man is actually a wolf in disguise, who has already killed her grandmother. Her reaction is to laugh at the standard "What big eyes you have" routine and promptly hop into bed with him.
In The Princess Series, Roudette, the Lady of the Red Hood, was a well-known and feared assassin. Her cloak either protected her from magic or turned her into the Big Bad Wolf, depending on whether she wore it fur in or fur out. After her death at the hands of one of Talia(Sleeping Beauty)'s Fairy Godmothers, the cloak is claimed by Talia (herself a talented fighter thanks to applying the gift of grace to martial arts), who actually prefers being thought of as Little Red Riding Hood than being recognized as Sleeping Beauty.
The entire point of Sisters Red by Jackson Pearce. One of the two main characters, Scarlett, obsessively hunts Fenris down and kills them. Her grudge against them comes from being attacked by one as a small child; she managed to kill it in order to defend her sister, but not before the wolf killed their grandmother and ripped off half of her face and her right eye, leaving her horrifically scarred.
Live Action TV
The Syfy original movie, Red, starring Felicia Day as a werewolf hunter variant.
A similar take on the Riding Hood story is created in the finale of syfy's Faceoff. One of the final character makeups is a werewolf huntress in a red cloak based directly on the fairytale (as required by the competition).
Red is portrayed this way whenever she's a playable character in a Shrek video game. Namely Shrek 2: The Video Game, Shrek Super Slam, and Shrek: Smash n Crash Racing.
Annie from League of Legends has a Little Red skin, which barely qualifies her, but if Bulleta counts, so does she.
Ruby Rose, the first of the four main protagonists of Monty Oum's new projectRWBY, is inspired by Red Riding Hood. In the trailer featuring her, she wipes out an army of werewolves using a sniper rifle/scythe hybrid called Crimson Rose, which she built.
Red in Ever After is a particularly Ax-Crazy version of one of these, armed with the second little pig's wood saw. The comic starts with her breaking out of containment, again. And vivisecting some guards.
'Red' in No Rest for the Wicked. Hunts wolves (and any other "clever beasts" she comes across, given half a reason) with an ax. Flashbacks reveal that she seemed to be the traditionally innocent young girl of the fairytale before her meeting with the wolf, which broke her so badly she ended up like she is in the current story.
The Hello Kittys Furry Tale Theater episode "Little Red Bunny Hood" moves the story to The Wild West. When Red is attacked by the wolf, she yells, "Eat this!" and rams her bouquet of flowers down his throat, knocking him into a well. She pulls him out in exchange for him serving her. Later, Red and the wolf help foil a bank robbery.