The story of Madoka Magica is strange, bizarre, and fascinating.
I mean, even though the protagonist, Madoka Kaname, is shown in transformed form in the OP footage, she never transforms at all in the actual series.
Let me give a brief synopsis. The anime's first episode opens with ruins and an alternate dimension—a scene you'd never imagine from the sparkly phrase 'magical girl.'
In that space, a single girl battles a giant witch. Witnessing this is the protagonist, 'Madoka Kaname.'
Then a mysterious white creature (Kyubey) appears. To save the wounded girl who's been fighting, it pleads with Madoka to become a magical girl. But it was all a dream.
The day after that slightly odd dream, a transfer student arrives at Madoka's school. And lo and behold, the new arrival is 'Homura Akemi'—the very girl who appeared in the dream, fighting the giant witch.
For some reason, this transfer student also acts and speaks as if she knows Madoka. Even though it's supposedly their first meeting, she gets a little emotional and tells Madoka, 'Never even think of becoming someone different from who you are now. Otherwise, you'll lose everything.'
After school, Madoka stops by a CD shop with her best friend, 'Sayaka Miki.' While listening to a CD, a voice speaks directly into her mind: 'Help me.'
Following the call, she heads toward the source of the voice, and there she finds the battered, utterly weakened white creature from her dream, 'Kyubey.' And the culprit who had wounded Kyubey and was chasing it turns out to be none other than the transfer student, Homura Akemi.
This is still only around the middle of episode one, but the mysterious girl Homura and the protagonist Madoka become the keys to the story going forward.
And this story runs a total of 12 episodes—but right before the finale, the Great East Japan Earthquake struck, and because the finale contained an intense disaster scene, its broadcast was suspended.
However, due to passionate requests from fans, the finale was set to air late at night on April 21, 2011.
At that time, even the Yomiuri Shimbun ran a full-page ad promoting the Madomagi finale.
And so the broadcast finale became the stuff of legend, and several theatrical films followed afterward.
Let me introduce the composer.
The composer for this work is Yuki Kajiura. Kajiura was given the entire script from start to finish in advance, and was apparently told things ahead of time like which scenes she should score. There were exceptions, though—for instance, 'Credens justitiam,' which was repurposed as Mami Tomoe's theme at the sound director's discretion,
and 'Symposium magarum,' which was hastily commissioned later as a dedicated track for the 'mermaid witch.'
After a long silence, Madomagi recently announced its latest theatrical film, 'Walpurgisnacht: Rising.'
To close, let's part ways while watching the teaser for that very film, Walpurgisnacht: Rising.

Quoted from the official site https://www.madoka-magica.com/tv/archives/