Toaru Kagaku no Railgun 4th Season

Prominently features characters with special abilities that allow them to do what would normally be physically or logically impossible.

Main cast is mostly composed of female characters.

Main character is female.

Features a large cast of characters with (almost) equal screen time and importance to the plot.

Set in a world similar to the real world, but with the existence of magic or other supernatural elements.

Prominently features super-powered humans who aim to serve the greater good.