What are some short animes that I can watch?

Zero no Tsukaima (13 episodes)
Louise is a magician at the Tristein Academy, dubbed with the nickname "Zero Louise" due to her inability to effectively use her magic properly, resulting in zero successes. An upcoming test at her academy requires her to summon a familiar, a servant and partner to support her as a magician. Despite desiring a familiar that would be superior to her constantly mocking classmates, Louise ends up summoning Hiraga Saito, your average Japanese boy. Even with Louise and Saito both unwilling to accept each other, they have no choice. Louise cannot attempt another summoning and Saito cannot return to Japan, and so their life together begins.

Zero no Tsukaima: Futatsuki no Kishi (12 episodes) (sequel to Zero no Tsukaima)
Zero no Tsukaima: Princess no Rondo (12 episodes) (sequel to Zero no Tsukaima: Futatsuki no Kishi)

Dog Days - not sure if you will like it, It's a bit childish (13 episodes)
Republic of Biscotti faces a predicament by the invasion of Galette Leo Knights. In order to save the country, Princess Milchore summons a "hero" from the outer world. Shinku, a junior high school boy living in the Earth, is chosen as the hero.

Mahou Shoujo Madoka Magica - 12 episodes, don't be fooled by title or description, It's actually a dark magical girl anime, I liked it very much.
Beloved family, good friends, laughter and tears - these things make up the ordinary life of Kaname Madoka, a second year student of Mitakihara City Middle School. One night, Madoka dreams of a mysterious dark haired girl struggling against a terrible evil; the next morning she discovers that the girl, Akemi Homura, has transferred into her class. This encounter will lead to an incident which will alter Madoka's fate forever.

Night Wizard - 13 episodes
Night Wizard. A term given to those whose mission is to protect the world from impending darkness. Renji Hiiragi is one such Night Wizard, who is constantly called on missions, even though all he wants is to be able to go to school and graduate.
However, his latest order was to protect Elis Shiho, who is a new transfer student at his academy. Being dragged into the Astronomy Club by Renji's childhood friend, Kureha Akabane on her first day at school, Elis soon realises that she too, has the power to become a night wizard, after possessing one of seven secret Jewels, the Jewel of Kindness.
Along with Renji and Kureha, Elis now begins her fight and her new life, as a Night Wizard

Pretear - 13 eps
Himeno Awayuki was a normal sixteen-year old girl until her father married a woman who happens to be rich. Since then, she has been perceived as an outcast by both her new stepsisters and her classmates. Later Himeno finds out from seven men called the Leafe Knights that she is something called Pretear, a girl who has the power to merge with and control the nature of the elemental-oriented powers from the Leafe Knights and stop an evil being called the Princess of Disaster.

Seiken no Blacksmith - swords and magic, set in older times, 12 episodes
Once upon a time, there was a tragic war, in which the power of the devils was involved. After the war, the devils' power was banned and the world was restored to peace. Cecily Campbell is a knight, who has been looking for a blacksmith to repair her old sword given by her father. One day, she saw a man fighting with a ruffian who used the tabooed devil's power. The man defeated him with one blow of his weirdly shaped sword. The man turned out to be a blacksmith called Luke. The fateful encounter was the beginning of the adventure.

Uta Kata - 12 episodes
On the last day of the school year, 14 year-old Ichika Tachibana comes across an old, busted mirror in an unused campus building. When Manatsu, a mysterious girl from inside the mirror, steps out and offers her friendship for the summer, she also offers Ichika magical powers. Now, Manatsu must help Ichika unlock the powers of the 12 Djinn in order to complete her magic training... but perhaps this is something that will prove too difficult a task. Some offers may appear too be good to be true and this one just may turn out to do more harm than good.

All the animes has magic, some medieval/"older" setting.

try slayers,that is a good one to start.

Bonen no xamd, death note

Oreimo has a female main character but its based in an otaku setting/shcoolgirl/internal self conflict, but it's only 13 episodes

C
infinite stratus