My reply, which turned out to be an off-topic about 魔法少女 genre in general
It’s funny when you bring Madoka Magica as the thing you know best within the genre, when it’s an example of the genre subversion 
But it’s the same for me 
I even educated myself a little about 魔法少女 genre after reading another Murata’s work, 丸の内魔法少女ミラクリーナ, and when I say educated, I mostly mean I read the wikipedia article & some of articles in its references section 
As for the animal sidekick,
It seems like every magical girl anime series has a magical animal companion
source: 30 Day Anime Challenge- Day 15: Favorite animal sidekick/pet or summoning from any anime | Blerdy Otome
NonHumanSidekick
Most Magical Girls have one or more of these, who often overlap with Weasel Mascot, Mentor Mascot, and/or Ridiculously Cute Critter:
source: Non-Human Sidekick - TV Tropes
But when we’re on the common elements, what surprised me most is that fighting evil wasn’t there from the start:
Prior to that, magical girl shows post-Princess Knight downplayed the fighting and functioned more like sitcoms. Their magical powers resembled the antics of Steve Urkel in Family Matters – an excuse for crazy stuff to exacerbates the episode’s social conflict. While they were often still princesses, magical girls dealt with schoolyard problems more often than actual threats. They’d use their powers to go out with boys or live double lives as pop stars.
source: What Makes Magical Girls So Popular? - Anime News Network
And it seems it’s Sailor Moon that changed this:
Sailor Moon (1991), whose anime adaptation was broadcast from 1992 to 1997, revolutionized the magical girl genre by combining “transforming hero” elements from live-action tokusatsu hero shows like Super Sentai and Kamen Rider with feminine interests, such as romance and child-rearing. […] In addition, unlike previous magical girl series, Sailor Moon featured a team of magical girls as the main characters, with male characters supporting them in battle.
source: Magical girl - Wikipedia
I was also surprised that idea of using a compact to transform is so established and widespread and that it was introduced as early as 1969 (Himitsu no Akko-chan anime adaptation).
And I admit I didn’t really think too deeply about this bit until articles pointed this out to me:
A key attribute of the Sailor soldiers is the nature of their transformation. In their sailor collars and miniskirts, with their long hair, manicured nails, and smart accessories, they look singularly ill equipped to do battle. When male superheroes like Kamen (Masked) Rider and the Super Sentai teams morphed, the changes were clearly designed to make the heroes stronger. But the transformation of the Sailor girls functioned primarily to exaggerate their feminine good looks and sexuality. In a major paradigm shift, Sailor Moon represented power using standard attributes of youthful feminine beauty and sexuality, negating the traditional dichotomy between cuteness and strength.
source: Children of Sailor Moon: The Evolution of Magical Girls in Japanese Anime | Nippon.com
I’m by no means an expert on the topic, and maybe all of the above is a common knowledge, but it wasn’t for me 
. It will be interesting to read this again with a bit more 魔女少女 context. Also, I’m pretty interested now in reading 丸の内魔法少女ミラクリーナ.

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