Evoked Narratives: Pottermore (something I actually played) or The Lord of the Rings: War (fits this category better, but I’ve only seen friends play it)
Enacted Narratives: Cats are Liquid (it feels like a simple game, but the narrative is actually quite moving!)
Embedded Narratives: Cube Escape: Samsara’s Room (or anything else in the Cube Escape series)
Emergent Narratives: The Sims (I haven’t played any other emergent narrative games, so I had to use one from the reading)