Does anybody (anygame? anymodule?) do the "different GMs for different parts of the game" thing?

Hi everybody!

So I just found out that the "Heroes of the Borderlands" starting set for DND5 encourages players to share the GM duties. They put the setting in three books: 1) Wilderness, 2) Keep on the Borderlands, and 3) Caves of Chaos. A different person take each book and when the party goes to their book's place, they GM. What a cool idea, guys!

Is there a system, adventure, whatever, that does this besides this box set? I just started to GM this year(Ben Milton's Jim Henson's Labyrinth the Adventure Game first for three sessions so far, and then a break to play Fabien's Atelier in Cairn with smaller groups when the whole Labyrinth group can't make it) and haven't played since a 5e game in 2019. Having a great time, but would love to see both sides on the table and show the players both sides, too.

My interests are in the OSR, and in Story Games like PbtAs, but because I am new to the hobby, I am pliable. Love love loved "Inhuman Conditions", which I believe is a ttrpg; that game got me interested in these other games!