Games like Shutter
Games like Shutter include Little Nightmares, Little Nightmares II, LIMBO, Detention, and Stray. We matched them by the tags players give Shutter on Steam (Adventure, Indie, Horror, Puzzle, and Atmospheric): closest matches first, and among equally close ones the better-known games.

Little Nightmares
Shared: Adventure · Horror · Atmospheric

Little Nightmares II
Shared: Adventure · Horror · Puzzle

LIMBO
Shared: Indie · Puzzle · Adventure

Detention
Shared: Indie · Horror · Adventure

Stray
Shared: Adventure · Atmospheric · Puzzle

Sally Face - Episode One
Shared: Indie · Horror · Adventure

The Room Two
Shared: Puzzle · Adventure · Atmospheric

The Room
Shared: Puzzle · Adventure · Atmospheric

INSIDE
Shared: Horror · Atmospheric · Indie

Rusty Lake Paradise
Shared: Indie · Adventure · Puzzle

Poppy Playtime
Shared: Horror · Puzzle · Indie

The Room Three
Shared: Adventure · Puzzle · Indie

Firework
Shared: Indie · Horror · Puzzle

Fran Bow
Shared: Adventure · Puzzle · Horror

Samsara Room
Shared: Indie · Adventure · Puzzle

Brothers - A Tale of Two Sons
Shared: Adventure · Indie · Atmospheric

Chants of Sennaar
Shared: Adventure · Puzzle · Indie

Inside the Backrooms
Shared: Horror · Puzzle · Adventure

Observation
Shared: Adventure · Indie · Horror

Servant of the Lake
Shared: Adventure · Puzzle · Indie

Outer Wilds
Shared: Adventure · Atmospheric · Puzzle

Tales of the Black Forest
Shared: Horror · Indie · Adventure

DreadOut
Shared: Indie · Adventure · Horror

DISTRAINT: Deluxe Edition
Shared: Indie · Horror · Adventure