Games like Escape the Red Curse
Games like Escape the Red Curse include The Room 4: Old Sins, The Room, The Room Three, The Room Two, and Blue Prince. We matched them by the tags players give Escape the Red Curse on Steam (Action, Puzzle, Escape Room, Hidden Object, and Adventure): closest matches first, and among equally close ones the better-known games.

The Room 4: Old Sins
Shared: Puzzle · Mystery · Adventure

The Room
Shared: Puzzle · Mystery · Adventure

The Room Three
Shared: Puzzle · Adventure · Mystery

The Room Two
Shared: Puzzle · Mystery · Hidden Object

Blue Prince
Shared: Puzzle · Mystery · First-Person

The House of Da Vinci
Shared: Puzzle · Hidden Object · Mystery

Poppy Playtime
Shared: Puzzle · First-Person · Mystery

Outer Wilds
Shared: Mystery · Adventure · Puzzle

What Remains of Edith Finch
Shared: Mystery · Story Rich · Adventure

Return of the Obra Dinn
Shared: Puzzle · Mystery · Story Rich

Bendy and the Ink Machine
Shared: Puzzle · First-Person · Mystery

Boxes: Lost Fragments
Shared: Puzzle · Mystery · Adventure

Firewatch
Shared: Adventure · Mystery · Story Rich

Servant of the Lake
Shared: Puzzle · Escape Room · Adventure

Portal 2
Shared: Puzzle · First-Person · Story Rich

Sherlock Holmes: The Devil's Daughter
Shared: Adventure · Puzzle · Mystery

The Talos Principle
Shared: Puzzle · First-Person · Story Rich

Seen
Shared: Puzzle · Adventure · Action

Tomb Raider Game of the Year
Shared: Action · Adventure · Story Rich

Bendy and the Dark Revival
Shared: Action · First-Person · Adventure

BioShock Infinite
Shared: Action · First-Person · Adventure

Sally Face - Episode One
Shared: Puzzle · Story Rich · Adventure

Deliver Us The Moon
Shared: Action · Adventure · Puzzle

Rise of the Tomb Raider™
Shared: Action · Adventure · Puzzle