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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

Yaoi, also known as boys' love, is a genre of work involving romance between men. The word originates in Japan and is typically seen alongside an anime style.

Contains lesbian characters or plot lines, typically influenced by Japanese media and containing an anime style.