Games like Alien Morgue
Games like Alien Morgue include Papers, Please, Detroit: Become Human, Undertale, Death and Taxes, and The Test. We matched them by the tags players give Alien Morgue on Steam (Medical Sim, Story Rich, Job Simulator, Aliens, and Multiple Endings): closest matches first, and among equally close ones the better-known games.

Papers, Please
Shared: Simulation · Story Rich · Multiple Endings

Detroit: Become Human
Shared: Story Rich · Multiple Endings · Choices Matter

Undertale
Shared: Story Rich · Multiple Endings · Choices Matter

Death and Taxes
Shared: Story Rich · Choices Matter · Simulation

The Test
Shared: Story Rich · Multiple Endings · Simulation

Beholder Conductor
Shared: Story Rich · Choices Matter · Simulation

Back to the Dawn
Shared: Story Rich · Multiple Endings · Choices Matter

The Case of the Golden Idol
Shared: Story Rich · Investigation · Conspiracy

The Test: Hypothesis Rising
Shared: Multiple Endings · Simulation · Story Rich

Orwell: Keeping an Eye On You
Shared: Simulation · Story Rich · Investigation

OneShot
Shared: Story Rich · Choices Matter · Multiple Endings

The Operator
Shared: Investigation · Conspiracy · Simulation

Strange Horticulture
Shared: Puzzle · Simulation · Story Rich

Beholder
Shared: Choices Matter · Story Rich · Simulation

LoveChoice
Shared: Story Rich · Choices Matter · Multiple Endings

The Wolf Among Us
Shared: Story Rich · Multiple Endings · Choices Matter

Volcano Princess
Shared: Multiple Endings · Choices Matter · Simulation

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

Cyber Manhunt 2: New World - The Hacking Simulator
Shared: Story Rich · Investigation · Puzzle

Heavy Rain
Shared: Story Rich · Multiple Endings · Choices Matter

Unheard - Voices of Crime
Shared: Story Rich · Simulation · Puzzle

Zero Escape: The Nonary Games
Shared: Story Rich · Multiple Endings · Choices Matter

Cyber Manhunt
Shared: Simulation · Story Rich · Puzzle

Beholder 2
Shared: Story Rich · Choices Matter · Simulation