Animal Crossing

You play a character who arrives at a new town. Once you have arrived, you live the lifestyle of your character. You have things to do like make your town better by donating fish or fossils to the museum, improving Nook's Shed or another thing you can do is meet new people and completing tasks for them.
It doesn't really follow any theory.

Video game genres

Video game genres are used to label video games based on their gameplay interaction. A video game genre is decided by a set of gameplay challenges. Genre is defined by content in game

Examples -
 Action - Grand Theft Auto
Adventure - Legend of Zelda
Role-Play - Dragon Age
Sports - Fifa Soccer