If you liked
Senki Zesshou Symphogear
|
...then you might like
Cross Ange: Tenshi to Ryuu no Rondo
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Both have a mixture of music, action, sci-fi, fantasy, and yuri. If you liked Nana Miyuki's insert songs from Cross Ange, you get more of that in Symphogear, as well as another badass character that undergoes a lot of growth voiced by her. The lead is not Nana's character, but rather Madoka's seiyuu from PMMM, who delivers a stunning performance in her own right. The concept of applying music to engage in battle is a primary theme of Symphogear, and the insert songs and OST really shine. Both feature plots that aren't necessarily the greatest (I'd say Symphogear's are far more ridiculous thna Cross Ange in that department), but the characters are pretty fun.
If you liked
Bakemonogatari
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...then you might like
Shinsekai yori
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Both series give internal struggles form with the supernatural. The two series go about it different ways, however. The entirety of the monogatari series describes the characters through heavy dialogue that reinforces the plot rather well. Both have well paced arcs that lead into the next quite nicely (for monogatari the arcs blend well, after the first season). In both shows you see the growth of these characters throughout the course of their schooldays.