I think this generation has amazing narrative powerhouses. I think I'd call this the narrative generation.
I'd call it the cinematic generation. I think some older gens had stronger narratives, particularly in the RPG genre, but they had it with very limited motion sprites and primitive models that left things to the imagination. Whereas this gen has photorealistic cinematic narratives but not necessarily stronger narratives as they often rely on genre cliches and quantity over quality.