"But don't forget that as long as God gives you life we will still be mothers and no matter how revolutionary you may be, we have the right to pull down your pants and give you a whipping at the first sign of disrespect."
Miyabi Kagurazaka from Ai Yori Aoshi is a somewhat younger version.
Martha from Yu-Gi-Oh! 5Ds. She's such an overbearing Mama Bear that the two main characters, Yusei Fudo and Jack Atlas, are reduced to trouble-making ten year olds in her presence. And only she's got the guts to pinch Yusei by the ear.
A character in Pokémon: Lenora, the Nacrene City Gym Leader, seems to be borderline this, though she isn't shown to have children (she is in charge of the museum, though). The apron, though, only appears on her in the Japanese verison of the anime and her video game sprite, as the animators feared US viewers would see her as a 'mammy' stereotype, since she's of African descent.
Played mostly for laughs with Junta's mother Chiyo Momonari from DNA˛.
Ma Joad. Even the characters acknowledge she's the one that holds the "fambly" together.
In Suite Française, Charlotte Péricand. She runs her household with great efficiency, and when fleeing from enemy bombing she acts to save her children with ruthless decisiveness (as long as the family's alive, nothing else matters). However, she usually fails to match the "caring" and "kind" part of the trope description by her lack of real empathy, even though she conscientiously tries to carry out the duty of being good-hearted and generous.
Amelia Peabody Emerson. Her parasol is a weapon feared throughout Egypt (before her husband gave her a sword-cane version), and senior British officials cringe at the thought of her tongue-lashings.
"The Gordon Women", in the McAuslan short story collection by George MacDonald Fraser, is dedicated to this trope (along with a mixture of the Proper Lady and Iron Lady tropes). The star of the show is his Aunt Alison, who manages to defuse a potential crisis through acting and sheer steel nerves, much to her nephew's amazement.
Here was this good, respected widow lady of advancing years, who had guided my infant steps, heard my prayers at night, and read to me from the Billy and Bunny Book, sitting there looking like the matriarch of some soap-opera family of Texas tycoons, and apparently concealing the combined talents of the Scarlet Pimpernel and a Mafia godmother. I didn’t know where to begin.
In A Brother's Price, the first daughter to be born to a group of sisters is given the title/name Eldest. When she and her sisters marry and have daughters of their own, she becomes known as Mother Eldest, and she's the head of the family. The family's husband, if they're lucky enough to have one, takes on the softer and more nurturing aspects of childrearing, helped somewhat by Eldest's younger siblings. Eldest's role is more disciplinary, but in the case of the Whistlers at least, not without affection.
Chenaol of Daughter of the Lioness rules her kitchen with a firm hand. She is also the armsmistress for the raka rebellion, because a chef has many legitimate reasons to be handling lots of sharp metal objects.
Lerna in Rogue Sorcerer proves herself to be a defender of young women when she bullies Aiden out of bed and berates him in the mistaken assumption that he and Claron are lovers and that she refused to sleep with him because he had offended her in some way. She's plenty tough as well, not even flinching when she hears that one of her patrons has recently killed someone.
Last of the Summer Wine is just crawling with 'em, although Nora Batty (as seen in the page image above) is probably the chief harridan among them. Many of them had a Henpecked Husband earlier in the series but are by now widowed.
Glenda was introduced as a contrast. A mid-30s newlywed with different attitudes. After more than twenty years in the show she was clearly being assimilated by the others.
On No Reservations, they are a frequent and reliable source of a good meal in Bourdain's travels.
Michael Westen's mother in Burn Notice. Even Michael is slightly afraid of her.
Merlin has Recurring Character Audrey, the head cook of Camelot who isn't beyond physical violence if someone steals from her kitchen.
Game of Thrones has Olenna Tyrell who is a liberal matriarch in contrast to conservative patriarch Tywin Lannister.
In ‘My Mother Is from Morocco’, an Israeli song celebrating traditional Jewish-Moroccan folk traditions, the speaker is a young girl praising her mother who comes off as this: after every family meal she arranges, the family members come to kiss her hand in turn, and everyone turns to her for a folk remedy for whatever ailment they havenote Some araq as ointment for pain in general, cupping therapy for the common cold, and a drop of cognac for tooth aches, in case you were curious.. The song ends with the girl saying she knows she’ll be just like her mother when she has a family of her own.
Plum Kitaki from Apollo Justice: Ace Attorney fits most of the details in the original post to a T. Especially the bit about being armed with a broom (that has a katana hidden inside).