Bishoujo Senshi Sailor Moon, Mahou Shoujo Madoka★Magica Recommendations
Both are about a young girl encountering a familiar(animal) who introduce them to magical powers. in the Magical Girl genre. Even though Madoka Magica is a little darker, but its just as great.
Sailor Moon established the Magical Girl genre as it stands today, providing the archetypes that a show like Madoka Magica is manipulating. Both shows center around middle school girls who possess magical powers and use them to fight against evil, accompanied by cute animal guardians which guide their development as heroines. Sailor Moon establishes the storyline that you expect to see replicated in Madoka Magica. Both shows are cute in animation style, which contrasts with their surprising moments of darkness. The young girls in both shows prove to be less naive than they are portrayed, demonstrating acts of personal sacrifice and actively confronting ethical problems.
If you're looking for another top notch magical series, then Mahou Shoujo Madoka Magica is definitely the series for you! Be warned--it's much darker than Bishoujo Senshi Sailor Moon, but it still showcases what all magical girl series' have to offer: friendship!
Both are shows in the magical girl genre, though Madoka Magica is more mature and grim.
Girls with magical powers trying to defend the world.