Show with a princess that’s teleported to another world

High school student Hitomi is transported from Earth to the magical world of Gaea, where she meets boy prince Van Fanel, and is caught up in his quest to unite the countries of Gaea against the ominous Zaibach empire. On the way, she discovers an hidden ability and strives to unravel layers of mystery surrounding Van, his past, and the giant machine known as Escaflowne.

Junior high school student Miaka lives a normal life in Tokyo until she finds a mysterious book in the library, and she and her friend Yui are transported the Universe of the Four Gods. Upon arriving in this new universe, the girls are immediately attacked by would-be slavers and saved by a dashing young man. When Miaka isn't looking, both Tamahome and Yui vanish. Unbeknownst to Miaka, Yui has been sucked back into the real world. Back in the library, all she can do is read on as Miaka sets out for the city to find the mysterious young boy and save her friend. But what awaits for Miaka isn't what either of the girls expect—and now Miaka's only way back to her world is to become the Priestess of Suzaku and save their world.

Taka and Miaka are now happily married and only six months before their new family would be born, but an obessed girl named Mayo would do anything to make Taka hers. She enters the world of the Four Gods, determined to win Taka's heart and be the new priestess.

The mysterious island of Houraijima has reappeared after 50 years, and with its reappearance has brought the attack of four gods, the Shitoushin, who have their eyes set on the powers that protect and sustain the island. Now it's up to Inuyasha and his friends, along with Sesshoumaru, to find a way to defeat the powerful Shitoushin.

Inuyasha and his brother, Sesshomaru, each inherited a sword from their father after his death. However, their father had a third sword, named Sounga, that he sealed away. Seven hundreds years after his death, Sounga awakens and threatens mankind's very existence. How will the children of the Great Dog Demon stop this unimaginable power?

Nakajima Youko is your average somewhat timid high school student. One day, a strange man named Keiki appears before her, swearing allegiance. Before she could properly register what was happening, demon-like creatures attack Youko and her friends, after which they are pulled into a different world. A world unlike what she has ever known. Separated from Keiki, Youko and her friends must do whatever they can if they wish to survive in this new world.

Princess Tutu follows Duck, a duck who was transformed into a young girl and takes ballet at a private school. She becomes enamoured of her mysterious schoolmate Mytho, and transforms into Princess Tutu to restore his shattered heart. Mytho's girlfriend Rue transforms into Princess Kraehe to frustrate Tutu's efforts, and Mytho's protective friend Fakir discourages Mytho's burgeoning emotions. When it becomes apparent that Duck, Rue, Mytho, and Fakir are meant to play out the characters in a story by a long-dead writer named Drosselmeyer, they resist their assigned fates and fight to keep the story from becoming a tragedy.

A young telekinetic girl wonders the world in search of a home, all whilst being hunted by the forces that created her.

What happens when the Princess decides to leave her castle?