If you liked the Fushigi Yugi: The Mysterious Play anime, the Anime-Planet community thinks you'd like:
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.
Yukino had it all. Brilliant, athletic, popular and pretty, she was the perfect school girl with many friends and admirers. But then one fateful day she met her match: a handsome young man named Arima. Now, not only is he beating her at her own game, she's becoming more and more dismayed to learn that she's developing her first real feelings of romance. Can Yukino maintain her model student appearance, or will love ruin all her plans?
Both Fushigi Yuugi and Kare Kano have themes that circulate around romance. Both lead males also have similar character personalities. But perhaps the most significant similarity is the fact that both stories are also also about true friends that accept you for who you are. If you're one who likes cheesy love stories, friendship sagas and a tinge of ecchi then you might like one if you like the other.
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 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.
Miki is a normal high school student, living a normal life, but one day she is welcomed home with an announcement: her parents have decided to get divorced and switch partners with close friends of the family. The reason? Love. But to add to Miki's disbelief, she may get a new "brother," and he may just happen to be in love with her...
Though the stories are not the same. I think they have the same style of animation and lots of story progression.
Fushigi Yugi and Marmalade Boy are quite similar not only in the style of anime but they're both about two young girls who happen to find the love of their life, although both Miaki and Miki have to deal with their friends and also their enemies to keep their lover.
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.