Games like In Sound Mind
Games like In Sound Mind include SOMA, METRO 2033 Redux, MiSide, Little Nightmares II, and Resident Evil 7 Biohazard. We matched them by the tags players give In Sound Mind on Steam (Horror, Psychological Horror, Story Rich, Puzzle, and Action): closest matches first, and among equally close ones the better-known games.

SOMA
Shared: Horror · Psychological Horror · Story Rich

METRO 2033 Redux
Shared: Horror · Story Rich · Atmospheric

MiSide
Shared: Psychological Horror · Story Rich · Horror

Little Nightmares II
Shared: Horror · Puzzle · Psychological Horror

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

Metro Exodus
Shared: Story Rich · Horror · Singleplayer

Poppy Playtime
Shared: Horror · Puzzle · Singleplayer

Half-Life: Alyx
Shared: Horror · Story Rich · Singleplayer

Layers of Fear (2016)
Shared: Horror · Psychological Horror · Atmospheric

METRO Last Light Redux
Shared: Horror · Story Rich · Action

Portal 2
Shared: Puzzle · Singleplayer · Story Rich

Resident Evil Village
Shared: Horror · Action · Singleplayer

Amnesia: Rebirth
Shared: Story Rich · Puzzle · Horror

Little Nightmares
Shared: Horror · Atmospheric · Puzzle

BioShock™ Remastered
Shared: Story Rich · Horror · Atmospheric

BioShock™
Shared: Story Rich · Horror · Atmospheric

Half-Life 2
Shared: Action · Story Rich · Singleplayer

Sally Face - Episode One
Shared: Psychological Horror · Story Rich · Horror

Outlast
Shared: Horror · Psychological Horror · Atmospheric

Black Mesa
Shared: Action · Singleplayer · First-Person

No, I'm not a Human
Shared: Horror · Psychological Horror · Story Rich

Bendy and the Ink Machine
Shared: Horror · Puzzle · Singleplayer

Ready or Not
Shared: Horror · Singleplayer · Psychological Horror

Amnesia: The Dark Descent
Shared: Horror · Psychological Horror · Puzzle