If you're looking for anime similar to Katato The Animation, you might like these titles.
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The second season of Shi Wan Ge Leng Xiaohua.
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The third season of Shi Wan Ge Leng Xiaohua.
Spoof parody of Nodame Cantabile
Spoof parody of Ghost in the Shell: Arise
Spoof parody of Kindaichi Shounen no Jikenbo
Spoof parody of The Rose of Versailles