PbtA games are often considered to be player-driven. My own experiences have ranged from somewhat GM-driven to heavily GM-driven, usually closer to Shadowrun than Shock. I'd like to see what you think, however. If you think I'm looking at this in a wrong way, I want to know that, too.
Games I've played: Apocalypse World, Blades in the Dark, Night Witches, The Sprawl, Dungeon World.