 If you liked
Rakudai Kishi no Cavalry
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 ...then you might like
Soul Worker: Your Destiny Awaits
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In first place I'm making this recommendation based mainly in the game's story, because the anime is just a short adaptation.
Now Soul Worker and Rakudai Kishi no Cavalry are similar mainly in the importancy that have the "souls", the main source of power for all the characters, and all they can summon a determinate weapon depending of his/her soul. Despite both stories have really funny characters that make you smile even in a serious moment.