Both my favorite systems makes my GMing job easier and they do it in the same way - they give the players responsibility though their character's goals to drive the game forward. And they have explicit rewards helping in this matter.

Ironsworn (a PbtA) is the more direct of these. The characters swears vows and once they are fulfilled they get XP. Starforged, the SciFi version, adds more ways to earn XP through Bonds and Exploration. But we'll stay with the base Ironsworn. The vows are essentially quests but what makes them different from just any random quest is the mechanics surrounding them. First a tracker to measure vow completion is created, then as progress is made it is filled depending on vow difficulty. Now this sounds fairly standard except the only way to mark progress is through triggering moves, primarily the move "Reach a Milestone". Since Ironsworn is a PbtA the moves are player facing, it is the player through their character's actions that triggers them. Second awesome part is those trackers, each being ten segments long. They aren't automatically completed when they are filled instead there is move "Fulfil your vow" that states

When you achieve what you believe to be the fulfillment of your vow, roll the challenge dice and compare to your progress.

That is when the player thinks their character is in a position to have completed their vow they make a roll and see what comes out of it. It lets the player decide if their little work is enough (not much progress marked, high change of complications) or if they should work harder on it. Awesome pacing tool. Ironsworn is also made for GM-less play which gives so may tools to the GM they can almost go on autopilot.

Burning Wheel has an awesome feedback loop called the Artha Cycle. The very short of it is

• Player states their character's beliefs (goals)
• Player have their character try to achieve their beliefs possibly spending Artha (a player-facing currency used to manipulate rolls) to increse chance for success
• Character earns progress in tested skills slowly increasing their proficiency in them
• At regular intervals (often end-of-session) the players earn more Artha for their character's progression on beliefs
• Player states their character's beliefs (goals)

And so it goes on and on. Often all I have to do as a GM is to keep track of the world and put obstacles in the way of the characters, as in challenge their beliefs. With players working the system I often not only get stated what their character's goal is but also what the obstacle is. Then all I have to do is play the world.