Games like Mansion Mystery
Games like Mansion Mystery include The Room, Escape Simulator, The Room VR: A Dark Matter, Granny, and The Room 4: Old Sins. We matched them by the tags players give Mansion Mystery on Steam (Adventure, Puzzle, First-Person, Escape Room, and Investigation): closest matches first, and among equally close ones the better-known games.

The Room
Shared: Puzzle · Adventure · Mystery

Escape Simulator
Shared: Puzzle · Adventure · First-Person

The Room VR: A Dark Matter
Shared: Adventure · Puzzle · VR

Granny
Shared: Puzzle · Horror · First-Person

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

Poppy Playtime
Shared: Puzzle · Horror · First-Person

Blue Prince
Shared: Puzzle · Investigation · First-Person

The Room Two
Shared: Puzzle · Adventure · Horror

We Were Here
Shared: Puzzle · Escape Room · Adventure

BONEWORKS
Shared: VR · Puzzle · Adventure

The Room Three
Shared: Puzzle · Adventure · Mystery

We Were Here Too
Shared: Puzzle · Escape Room · Horror

Garten of Banban
Shared: First-Person · VR · Puzzle

Phasmophobia
Shared: Horror · VR · First-Person

Samsara Room
Shared: Puzzle · Adventure · Escape Room

I Expect You To Die 2: The Spy and the Liar
Shared: Puzzle · VR · First-Person

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

Is this Game Trying to Kill Me?
Shared: Adventure · Puzzle · Escape Room

Firewatch
Shared: Adventure · First-Person · Mystery

Underground Blossom
Shared: Adventure · Puzzle · Escape Room

Resident Evil 7 Biohazard
Shared: First-Person · VR · Horror

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

Killer Frequency
Shared: Adventure · Puzzle · Horror

I Expect You To Die 3: Cog in the Machine
Shared: Adventure · VR · Puzzle