Long ago the Gods of the heavens fought with humans over the Akuto – a power that can create anything. Now, separated by time and space from the realm of humans, a war is raging between the heavens over the little remaining Akuto. As the floating Magical Kingdom is on the brink of destruction, both worlds are in danger and there is now only one hope for salvation. King Munto of the Magical Kingdom descends to earth in order to find Yumemi, a thirteen year old girl who has always been able to see the islands in the sky. He explains that when his kingdom falls, the human territory will become a land of death and Yumemi’s hidden powers are the only way to prevent it. But can Yumemi’s ability really solve everything when the fear of such power causes the fighting to escalate?
Awayuki Himeno is a normal schoolgirl who is in a bind: her father’s remarriage yielded two new cruel stepsisters, and to top it off, she meets seven men who call themselves Liefe Knights. They reveal to her that she's a Pretear, someone who can lend powers to them when their powers aren’t enough to defeat the evil creatures called mayouchuu. Now, she has to fight the ambitious Fenrir, whose only purpose is to leech the life force from all living beings. Can Himeno save the world and find a way to deal with her growing feelings for one of the Liefe Knights?
In both of these stories you start with a girl. She is normal. She suddenly realizes that she is different and must save the world. Both the girls have trouble excepting that they are different and both end up on the verge of despere. But they find their courage and will to persevere.
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 stories have nothing really in common. Munto's world though constantly gave me a feeling that the Zero no Tsukaima world did, Both involve magic and a person who is caught in the magical world. The shows seem to give the same feel.
Polyphonica is a place in which humans and spirits coexist; spirits gain their energy from the music of humans known as Dantists. The spirit Corticarte and her Dantist Phoron, along with their friends in the Tsuge Divine Song Players' Dispatch Office, take on cases to help the population deal with problems requiring their unique skills. As they go about their day-to-day work, they learn more about the nature of the cooperation between humans and spirits, as well as their relationship with each other.
Both anime have a very interesting fantasy worlds that revolve around using music in some unique way. Munto is more about saving their world where Shinkyoku Soukai Polyphonica is about everyone working together in the world to make it a better place with some added fanservice in there. Both styles in these anime are very similar so check one out if you liked the other.