Games like Organs Please
Games like Organs Please include Do Not Feed the Monkeys, Beholder, Beholder 2, Beholder Conductor, and Papers, Please. We matched them by the tags players give Organs Please on Steam (Multiple Endings, Point & Click, Political Sim, Dystopian , and Choices Matter): closest matches first, and among equally close ones the better-known games.

Do Not Feed the Monkeys
Shared: Point & Click · Political Sim · Multiple Endings

Beholder
Shared: Political Sim · Dystopian · Choices Matter

Beholder 2
Shared: Dystopian · Choices Matter · Political Sim

Beholder Conductor
Shared: Political Sim · Dystopian · Choices Matter

Papers, Please
Shared: Point & Click · Multiple Endings · Dystopian

This War of Mine
Shared: Choices Matter · Survival · Strategy

Undertale
Shared: Multiple Endings · Choices Matter · Story Rich

Not For Broadcast
Shared: Dystopian · Choices Matter · Multiple Endings

Death and Taxes
Shared: Multiple Endings · Choices Matter · Point & Click

Beholder 3
Shared: Political Sim · Dystopian · Point & Click

Suzerain
Shared: Political Sim · Choices Matter · Multiple Endings

Frostpunk
Shared: Resource Management · Strategy · Survival

Frostpunk 2
Shared: Resource Management · Strategy · Survival

Yes, Your Grace
Shared: Choices Matter · Story Rich · Multiple Endings

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

Orwell: Keeping an Eye On You
Shared: Political Sim · Choices Matter · Dystopian

Thank You For Your Application
Shared: Point & Click · Dystopian · Multiple Endings

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

Volcano Princess
Shared: Multiple Endings · Choices Matter · Story Rich

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

The Pale Beyond
Shared: Resource Management · Choices Matter · Story Rich

Headliner: NoviNews
Shared: Political Sim · Point & Click · Choices Matter

No Umbrellas Allowed
Shared: Choices Matter · Strategy · Dystopian

HEADLINER
Shared: Multiple Endings · Political Sim · Choices Matter