 If you liked
Date A Live
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 ...then you might like
Seireitsukai no Blade Dance
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The protagonist both have special abilities, such as in Date A Live he can seal a spirits power and in Seirei Tsukai no Blade Dance he is the only male spirit contractor. Both are harem genre. I also see a similarity in the characters such as Kotori and Claire; both being able to use flames, Rinslet and Yoshino both being able to control ice, and Est and Origami because of their similar appearances and similar personalities.