Games like The Mirror's Curse
Games like The Mirror's Curse include Blue Prince, The Room 4: Old Sins, The Room, The House of Da Vinci, and Outer Wilds. We matched them by the tags players give The Mirror's Curse on Steam (Escape Room, Exploration, Puzzle, Hidden Object, and Investigation): closest matches first, and among equally close ones the better-known games.

Blue Prince
Shared: Puzzle · Exploration · Investigation

The Room 4: Old Sins
Shared: Puzzle · Escape Room · Hidden Object

The Room
Shared: Puzzle · Hidden Object · Mystery

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

Outer Wilds
Shared: Exploration · Puzzle · Mystery

The Room Three
Shared: Puzzle · Hidden Object · Escape Room

The Room Two
Shared: Puzzle · Hidden Object · Mystery

We Were Here
Shared: Escape Room · Puzzle · Exploration

The Witness
Shared: Exploration · Puzzle · First-Person

What Remains of Edith Finch
Shared: Exploration · First-Person · Atmospheric

Agent A: A puzzle in disguise
Shared: Escape Room · Puzzle · Exploration

The Painscreek Killings
Shared: Exploration · Investigation · Puzzle

Escape Simulator
Shared: Puzzle · Escape Room · First-Person

Riven
Shared: Puzzle · Exploration · First-Person

The Talos Principle
Shared: Puzzle · First-Person · Exploration

Firewatch
Shared: Exploration · Atmospheric · First-Person

Murders on the Yangtze River
Shared: Puzzle · Exploration · Investigation

The House of Da Vinci 2
Shared: Hidden Object · Puzzle · Exploration

Quern - Undying Thoughts
Shared: Puzzle · Exploration · Atmospheric

The House of Da Vinci 3
Shared: Hidden Object · Puzzle · Exploration

Stray
Shared: Exploration · Puzzle · Atmospheric

We Were Here Together
Shared: Puzzle · Escape Room · Exploration

Escape Simulator 2
Shared: Escape Room · Puzzle · First-Person

Strange Horticulture
Shared: Puzzle · Mystery · Investigation