AKB0048 and Symphogear with have girls singing and fighting. AKB0048 focusses far more on the singing and adds dancing while symphogear focusses mostly on fighting. Both have strong sci-fi elements. AKB0048 more so than Symphogear. If you liked the singing in Symphogear than check AKB0048 out, if you liked the fighting in AKB0048 check Symphogear out, if neither of these apply than don't bother with the other.
In a world known as Soul Shell, floating islands are mankind’s only protection against falling into oblivion. The power of the song is able to heal wounds and create miracles; a power that the young Aurica can’t seem to master. After his ship crashes, Aurica finds herself in the company of Lyner, a fighter who desperately needs to return to what’s left of the sky. Together, the duo set out to find an engineer who can repair Lyner’s ship; but monsters are afoot! With shifty engineers and fire-breathing beasts in their way, can the two manage to stay alive?
Both series revolve around young girls who fight using the power of songs and as expected they both have fantastic soundtracks. Story wise the two shows aren't really similar due to Ar Tonelico being a single OVA based off of an RPG but fans of the OVA/game should check out Symphogear; while Symphogear fans should test out AT's ova and possibly move onto the original game as both series carry the same theme that any conflict can be solved with words alone.
One clear festive evening, Lucia, a mermaid princess, rescues a young boy from drowning. With him, she leaves the source of her beautiful singing voice: a pink pearl necklace. Several years later, Lucia has grown into a young woman, and embarks on a quest to the human world to reclaim her pearl and find her lost love.
In the future, a devastating event known as Second Impact has destroyed Tokyo as we know it, giving rise to Tokyo III - a city under siege by mysterious lifeforms known only as Angels. Mankind's only line of defense are the Evangelions, a set man-made machines piloted by a trio of fourteen year-old teenagers, Rei, Shinji, and Asuka. The fate of Japan and the entire world now lie with these three children, though they might not have the power to save the most important thing of all: each other.
Both of these shows have a similar plot; they're about children who are chosen to help fight against monsters that are attacking Earth. Although Senki Zesshou Symphogear has a slightly more magical-girl feel to it, and isn't nearly as good, their battles still remind me of Evangelion.
As the sole member of a club dedicated to helping others, do-gooder Madoka Kyouno didn't hesitate in helping save a girl from drowning one day. But little did she know that she actually saved an alien named Lan, and that soon, Madoka herself would be in the pilot of a giant mecha...
The above is a preliminary synopsis that will be updated once more episodes of the anime have been released.
Cute girls fighting to protect their friends and family from an seemingly alien threat. While Symphogear uses extremely nice musical courses and has less than reliable animation quality it is very much the same when playing around with the Slice of Life sections of the show. Rinne no Lagrange itself is more slice of life orientated and the alien threat are actually humans, in fact part of the main cast are these aliens. Still it's human girls fighting injustice in skin tight outfits.