Games like Bucket Detective
Games like Bucket Detective include Firewatch, Layers of Fear (2016), What Remains of Edith Finch, Blair Witch, and MiSide. We matched them by the tags players give Bucket Detective on Steam (Adventure, Indie, Story Rich, Walking Simulator, and Psychological Horror): closest matches first, and among equally close ones the better-known games.

Firewatch
Shared: Adventure · Story Rich · Walking Simulator

Layers of Fear (2016)
Shared: Psychological Horror · Walking Simulator · Horror

What Remains of Edith Finch
Shared: Story Rich · Walking Simulator · Adventure

Blair Witch
Shared: Adventure · Indie · Psychological Horror

MiSide
Shared: Story Rich · Psychological Horror · First-Person

Mouthwashing
Shared: Story Rich · Psychological Horror · Indie

Still Wakes the Deep
Shared: Psychological Horror · Horror · Walking Simulator

Amnesia: A Machine For Pigs
Shared: Story Rich · Walking Simulator · Horror

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

The Beginner's Guide
Shared: Story Rich · Indie · Walking Simulator

The Beast Inside
Shared: Adventure · Horror · First-Person

OMORI
Shared: Indie · Story Rich · Psychological Horror

SOMA
Shared: Story Rich · Psychological Horror · Horror

Conarium
Shared: Adventure · Indie · Walking Simulator

Fran Bow
Shared: Story Rich · Psychological Horror · Adventure

Among the Sleep - Enhanced Edition
Shared: Indie · Adventure · Horror

Outlast
Shared: First-Person · Horror · Psychological Horror

Little Misfortune
Shared: Indie · Psychological Horror · Story Rich

The Stanley Parable
Shared: Indie · Walking Simulator · First-Person

Penumbra Overture
Shared: Adventure · Indie · Horror

KARMA: The Dark World
Shared: Walking Simulator · Psychological Horror · First-Person

Visage
Shared: Psychological Horror · Horror · Adventure

The Death | Thần Trùng
Shared: Indie · Adventure · Psychological Horror

Little Nightmares II
Shared: Adventure · Horror · Story Rich