Games like The Red Shift
Games like The Red Shift include Banana, Papers, Please, Game Dev Tycoon, That's not my Neighbor, and Papa's Freezeria Deluxe. We matched them by the tags players give The Red Shift on Steam (Casual, Simulation, Arcade, Point & Click, and 2D): closest matches first, and among equally close ones the better-known games.

Banana
Shared: Casual · 2D · Simulation

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

Game Dev Tycoon
Shared: Simulation · Casual · Indie

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

Papa's Freezeria Deluxe
Shared: Simulation · Casual · Cooking

Potion Craft: Alchemist Simulator
Shared: Simulation · 2D · Casual

Touhou Mystia's Izakaya
Shared: Casual · Simulation · Cooking

Plague Inc: Evolved
Shared: Simulation · Casual · Indie

Nodebuster
Shared: Casual · Simulation · Arcade

Shower With Your Dad Simulator 2015: Do You Still Shower With Your Dad
Shared: Arcade · Casual · 2D

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

Vampire Survivors
Shared: 2D · Casual · Arcade

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

Papa's Pizzeria Deluxe
Shared: Simulation · Casual · Cooking

Shelldiver
Shared: Casual · Arcade · Simulation

Timberman
Shared: Casual · 2D · Arcade

Overcooked
Shared: Arcade · Cooking · Casual

A Dance of Fire and Ice
Shared: Arcade · 2D · Casual

Peace, Death! 2
Shared: Casual · Simulation · 2D

911 Operator
Shared: Simulation · Casual · Indie

Poop Clicker
Shared: Casual · Simulation · Arcade

Organized Inside
Shared: Casual · Simulation · Point & Click

Rhythia
Shared: Casual · Arcade · Point & Click

Zup!
Shared: Casual · 2D · Indie