Aesthetic.
Games are an art form, and while I don't always play games for that need (I have plenty of other needs that games fill as well) but I can't believe you forgot one of the more important ones!
Games that I have played that have moved me emotionally, narratively, and morally:
Bloodborne, The Last of Us, The World Ends With You, Journey, Inside, The Stanley Parable, Overwatch (though not as much as the others here)
Yay!