sekirei have many similiar each other for ezample "the kiss power", girl who have super power, and how their relation whit the main prontagonist. so if you love Date a Live you should Love the sekirei series.
-Both is Comedy, Harem, School and Sci-Fi
-Both has a protagonist a male protagonist meeting a girl that is not human with powers, even Sora no Otoshimono is Angeloid and Date a Live is Spirit
-Both have action/fighting scenes.
-Both have a similar plot: main character must seduce women to save them and seal the deal with a kiss.
-Both main guy character have a sister that loves them (less intense in kami nomi) that arn't blood related to them.
-Both anime are focused on romance but present a decent plot with dept.
Both series have the female character protagonists and antagonist completely dominant over society, Shidou(Main protagonist of Date A Live), is a lot like Ichika, accept the complete opposite at the same time.
They deal with mecha, and action sequences similar to the animation of 8bit studios. This show won't disappoint you at all if you are looking for something to fill the void after Infinite Stratos.