Games like Void Authority
Games like Void Authority include Papers, Please, That's not my Neighbor, Beholder, Death and Taxes, and The Henry Stickmin Collection. We matched them by the tags players give Void Authority on Steam (Simulation, Point & Click, Choices Matter, Multiple Endings, and Indie): closest matches first, and among equally close ones the better-known games.

Papers, Please
Shared: Simulation · Point & Click · Indie

That's not my Neighbor
Shared: Point & Click · Choices Matter · Adventure

Beholder
Shared: Choices Matter · Simulation · Singleplayer

Death and Taxes
Shared: Simulation · Choices Matter · Multiple Endings

The Henry Stickmin Collection
Shared: Multiple Endings · Choices Matter · Point & Click

Emily is Away <3
Shared: Simulation · Choices Matter · Multiple Endings

Beholder 2
Shared: Choices Matter · Simulation · Multiple Endings

Undertale
Shared: Choices Matter · Multiple Endings · Indie

Do Not Feed the Monkeys
Shared: Point & Click · Choices Matter · Multiple Endings

Beholder Conductor
Shared: Choices Matter · Point & Click · Simulation

Game Dev Tycoon
Shared: Simulation · Indie · Singleplayer

Volcano Princess
Shared: Choices Matter · Multiple Endings · Simulation

Little Misfortune
Shared: Point & Click · Indie · Choices Matter

Detroit: Become Human
Shared: Choices Matter · Multiple Endings · Singleplayer

OneShot
Shared: Indie · Choices Matter · Multiple Endings

911 Operator
Shared: Simulation · Indie · Choices Matter

This War of Mine
Shared: Simulation · Choices Matter · Singleplayer

Emily is Away Too
Shared: Simulation · Choices Matter · Indie

The Test
Shared: Simulation · Multiple Endings · Choices Matter

Home Behind 2
Shared: Simulation · Adventure · Indie

Totally Accurate Battle Simulator
Shared: Simulation · Indie · Singleplayer

FTL: Faster Than Light
Shared: Indie · Roguelike · Singleplayer

Beat Cop
Shared: Simulation · Indie · Adventure

There Is No Game: Wrong Dimension
Shared: Point & Click · Indie · Adventure