Games like Hire Me!
Games like Hire Me! include Papers, Please, The Test, The Henry Stickmin Collection, There Is No Game: Wrong Dimension, and Emily is Away Too. We matched them by the tags players give Hire Me! on Steam (Casual, Simulation, Point & Click, Choose Your Own Adventure, and Pixel Graphics): closest matches first, and among equally close ones the better-known games.

Papers, Please
Shared: Simulation · Point & Click · Pixel Graphics

The Test
Shared: Simulation · Choose Your Own Adventure · Pixel Graphics

The Henry Stickmin Collection
Shared: Choose Your Own Adventure · Funny · Point & Click

There Is No Game: Wrong Dimension
Shared: Point & Click · Casual · Pixel Graphics

Emily is Away Too
Shared: Simulation · Casual · Pixel Graphics

Undertale
Shared: Pixel Graphics · Funny · Choices Matter

Death and Taxes
Shared: Simulation · Point & Click · Casual

That's not my Neighbor
Shared: Casual · Point & Click · Simulation

Game Dev Tycoon
Shared: Simulation · Casual · Indie

Please, Don’t Touch Anything
Shared: Point & Click · Pixel Graphics · Casual

Emily is Away <3
Shared: Simulation · Casual · Choices Matter

Unpacking
Shared: Casual · Pixel Graphics · Simulation

DAVE THE DIVER
Shared: Casual · Pixel Graphics · Simulation

Click the Button
Shared: Casual · Simulation · Point & Click

Goat Simulator
Shared: Simulation · Funny · Casual

Cookie Clicker
Shared: Casual · Pixel Graphics · Indie

The Stanley Parable
Shared: Indie · Funny · Psychological

The Test: Hypothesis Rising
Shared: Simulation · Choose Your Own Adventure · Choices Matter

Stardew Valley
Shared: Pixel Graphics · Simulation · Casual

Peace, Death!
Shared: Casual · Simulation · Funny

Dispatch
Shared: Choices Matter · Choose Your Own Adventure · Casual

Passpartout: The Starving Artist
Shared: Casual · Simulation · Indie

Garry's Mod
Shared: Casual · Funny · Simulation

Touhou Mystia's Izakaya
Shared: Casual · Simulation · Pixel Graphics