Hibiki Tachibana has defeated many powerful enemies, saved countless innocent lives, and escaped from numerous desperate situations, but she is currently finding herself unable to escape from her most desperate situation yet—summer homework! Although her high school life is relatively unremarkable, her career as a member of the military organization S.O.N.G. is anything but. Using powerful, ancient armor known as Symphogear, Hibiki and her teammates work with the United Nations to deal with international disputes and disasters. During a mission briefing at headquarters, Hibiki is made aware of a mysterious organization known as the Bavarian Illuminati, who has been responsible for several major disasters in the past and currently operate in the war-torn country Val Verde. Together, Hibiki and her team infiltrate one of the Bavarian Illuminati's manufacturing plants and free hundreds of slaves. Exposed, alchemists Saint-Germain, Cagliostro, and Prelati reveal themselves as the organization's top brass, and—using alchemical powers—declare a global revolution while sacrificing thousands of lives. Faced with yet another threat to the world's survival, Hibiki and her allies must confront the Bavarian Illuminati in their most difficult and destructive battle yet. [Written by MAL Rewrite]

Next to Miyu Suzuki, a trendy and bubbly high school girl, sits Yuusuke Tani, a quiet and frank boy. Their interactions are brief, limited to Suzuki's unprompted random questions and Tani's succinct answers. Yet, beneath these simple exchanges, feelings of love are quietly blossoming. Suzuki sees Tani for who he is: a straightforward boy who respects everyone equally, completely unconcerned about fitting in. Unlike Tani, she is too hung up on what everyone else thinks, desperate to keep her crush a secret. However, a slight misunderstanding leads to Suzuki confessing her feelings—and to her delight, Tani feels the same. Jittery with excitement, the young couple starts dating, embarking on a wonderful journey of friendship and love.

Tatsumiyajima is the central island in the middle of a small cluster of islands, in a sleepy backwater of the Japanese isles. Not much happens there, and the island's young people go to school knowing that their lives are likely to remain peaceful and undisturbed. Or so they have been taught... but the truth is different. The fate of mankind is on the line, and Tatsumiyajima is the last line of defense against a hostile and incomprehensible enemy. At the center of it all, fighting for Humanity's continued existence, is the giant robot Fafner, the dragon that guards this final treasure of mankind.

This anime is based on a playstation game under the same title. The story is about four people who travel the desolated land of Filgaea and carve themselves a legendary story while they're at it. These adventurers are Sheyenne Rainstorm, a gunslinger who holds the legendary weapon called ARMs; Kiel Aromax, a scientist who looks like he should be carrying a sword; Roleta Oratorio the Crest Sorceress, a magic-user who uses cards called Crests to cast spells; and Mirabelle Graceland, one of the Noble Red, which are a family of vampiric creatures who live alongside human beings They also travel with cute little intelligent furry things, from the Popepi Pipepo Tribe, named Isaac and Jerusha. (Source: AniDB)