I don't think that I'm familiar with the Storygame Movement. Can you elaborate on it? Or can you think of some well known examples?
"Storygames" was how the games created by the Forge community in the 2000s were called. They called their style "Story Now!" and were mostly narrative and focused on genre emulation or moral dilemmas, while abhorring the railroading style seen in games from the 80s and 90s.
Their descendants are games by authors who got influenced by their ideas in some way or another. Examples include Apocalypse World and the whole "Powered by the Apocalypse" sthick (including Dungeon World), Free League games (like Mutant Year Zero or Alien RPG), Lady Blackbird, Blades in the Dark, etc. It's arguable if the likes of The Spire, Cortex Prime, Fate Core, Hillfolk, Beyond the Wall, Black Hack, etc. can also be considered descendants. I guess so, but to a lesser degree than the aforementioned ones.