If you're looking for anime similar to Fushigi Yugi: The Mysterious Play, you might like these titles. All recommendations are made by Anime-Planet users like you!
MKR is a Clamp anime about three girls who are taken from Tokyo during a school field trip, and transported into a fantasy world. Hikaru Shidou, Umi Ryuzaaki, and Fuu Hououji must fight a slew of enemies, overcome trials and tribulations, and face their inner demons to save Cephiro, a wonderfully detailed world, from a dastardly evil and powerful Priest, Zagato.
Both of these classic and well-known series feature schoolgirls going to an alternate fantasy world. Fushigi Yuugi takes place in a land based on Chinese mythology, while Rayearth is more of a generic fantasy world tha could be borrowed from any video RPG. While both series are generally action-packed, lighthearted, and feature cute and spunky protagonists, they are also relatively serious for the genre (i.e. be prepared for things like character deaths). Fushigi Yuugi has more romance and soft moments and features harems of bishounen (pretty-boy) characters to appeal to female fans, whereas Rayearth has more fighting action and strong schoolgirl protagonists who don't need any boys to do their fighting for them (go grrls!).
Both these animes have a lot in common, the girls in both stories are transported from their normal lives when the major thing they had to worry about was school to a magical world which they have to save, everyone who has seen one of these episodes will very much like the other, although magic knight rayearth does not have as much romance as Fushigi Yugi.
Twelve year old Mitsuki's desire is to become a singer. She has the talent and a beautiful voice, but she also has a throat tumor which threatens to rob her of her gift of song. As if things weren't bad enough, two shinigami inform Mitsuki that she only has one year left to live. However, all is not lost, for they make a deal that if she goes with them, they will help realize her dream by changing her into a healthy 16-year-old, who is able to sing and apply for auditions.
While these series don't seem have much to do with each other plotwise, (FY is about high school girls taken to a mythic Chinese world and Full Moon is about a 12 year old that can become a 16 year old pop idol) they both have similar art and character design. They are also both very touching and serious at times but very funny and SD at others. Both series also place young Japanese schoolgirls in difficult and mature roles that force them to grow and make hard decisions.
Although these two shows have very differing plots, they both take some adult and sensitive matters and puts them into a cartoonish series. It seems, at first glance, that these are for children. The wide eyed animation style and animated emotions soon give way to some difficult topics that would be better suited to a more mature viewer.
The fantasy feel of Fushigi Yuugi and FMWS is very similar, and I think if you enjoy one, you will surely like the other.
Angelique is the queen of the cosmos in a lush fantasy world, with nine strong and handsome guardians at her command. What started as a simple reunion between friends turned into a nightmare when the recently deceased Arios came back from the dead with a sinister plan to kill both queens! Can the gang come together to save not only themselves, but Arios himself?
Both Fushigi Yugi and Angelique center around a normal girl who's suddenly thrown into the middle of a handful of loyal and amazingly good-looking guys, all while taking the role of the "savior of the earth" of the planet they're thrown into.
Chances are that if you're a fan of one, you'd like the other.
FY and Angelique tell the story of a young girl who falls into a new world, and gets very handsome guys to help her in her quest. Angelique is maybe lesser quality than FY, but if you like one I think you'd like the other.
With their greatest enemy defeated and peace seemingly restored, Inuyasha and his friends each go their separate ways continue on with their lives. But when a full moon keeps rising night after night, our heroes know something new is amiss in the land -- a threat caused by a demon of immense power. Named Kaguya, this powerful foe plans to shroud the world in eternal darkness! And thus, Inuyasha, Kagome, Miroku, Sango and Shippo must unite once more to put a stop to Kaguya's evil plans, to once more attain peace and keep the sun shining...
In the second movie of InuYasha there is a priestess of the mirrors that InuYasha and the gang have to defeat by gathering items; while in Fushigi Yugi, the main heroine in the story is the priestess of Konan who tries to protect the land she is in. Both comedic groups of people have to deal with mystical powers and unexpected interferences in the feudal era.
If you liked watching Fushigi Yugi: The Mysterious Play and seeing Miaka the heroine become the Priestess of Suzaku, you may wish to check out the Inuyasha: The Castle Beyond the Looking Glass movie.
With her circle of Celestial Warrior friends, she travels an alternate miracle land where her friend Yui becomes the Priestess of Seiryu, her rival and enemy. Miaka must save the land from being conquered by Yui and her minions.
Inuyasha movie has a similar flavor and theme: Inuyasha and his circle of faithful friends band together in an alternate world of magic to fight powerful demons and overcome obstacles to destroy the mirror realm of evil Kaguya.
If you liked Fushigi Yugi, you should also check out Inuyasha movie.
In a world where magic is a reality, the young Louise is at the bottom of her class. Dubbed "Zero" by her classmates at Tristein Academy (due to her zero success rate for magic), Louise (along with all first year students) was charged with summoning a familiar; and instead of a cute magical creature, the familiar arrived in the form of... Saito Hiraga, a normal Japanese boy who was abruptly teleported from his own world?! Can both Louise and Saito come to terms with their new and complicated "relationship" and (more importantly) help Saito find a way home?
Both of these animes are about a character who is transported to an alternate universe. Both of these include a couple who can fight anything that comes their way. The couples both also have to overcome the fact that the characters are from different universes. Also, the couples have the problem that one character is of a higher rank of the other.
The concept of someone getting stuck in another world are in both of these animes. They are very similar in that they go to this new world and find love, go on misc adventures in hopes to stop war and find peace. Aside from the characters personalities one a harem the other a reverse harem, they are basically the same.