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Games that challenge the player with critical thinking to solve levels. 

Inspired by (or directly containing elements of) storytelling and visual design that are otherwise most commonly seen in Japanese animation.

An otome game is a story based video game that is targeted towards the female market. Generally one of the goals, besides the main plot goal, is to develop a romantic relationship between the female player character and one of several male or female characters.

http://en.wikipedia.org/wiki/Otome_game