Games like Dungeon Prisoner Simulator
Games like Dungeon Prisoner Simulator include Outlast, The Long Dark, The Forest, This War of Mine, and Five Nights at Freddy's. We matched them by the tags players give Dungeon Prisoner Simulator on Steam (Survival, Time Management, Casual, Simulation, and Atmospheric): closest matches first, and among equally close ones the better-known games.

Outlast
Shared: First-Person · Atmospheric · Survival

The Long Dark
Shared: Survival · Atmospheric · First-Person

The Forest
Shared: Survival · Horror · First-Person

This War of Mine
Shared: Survival · Atmospheric · Simulation

Five Nights at Freddy's
Shared: Horror · Survival · First-Person

[Chillas Art] The Convenience Store
Shared: Simulation · Casual · Horror

Sons Of The Forest
Shared: Survival · Horror · First-Person

Poppy Playtime
Shared: Horror · First-Person · Survival

Subnautica
Shared: Survival · Horror · First-Person

The Hat Man: Shadow Ward
Shared: First-Person · Horror · Atmospheric

Outlast 2
Shared: Horror · First-Person · Atmospheric

Mouthwashing
Shared: Atmospheric · Horror · Psychological

Who's Your Daddy?!
Shared: Simulation · First-Person · Casual

Firewatch
Shared: Atmospheric · First-Person · Walking Simulator

The Outlast Trials
Shared: Horror · First-Person · Survival

Happy's Humble Burger Farm
Shared: Atmospheric · First-Person · Horror

Subnautica 2
Shared: Survival · Horror · First-Person

Buckshot Roulette
Shared: First-Person · Horror · Psychological

The Beginner's Guide
Shared: Atmospheric · First-Person · Walking Simulator

Slender: The Arrival
Shared: First-Person · Horror · Atmospheric

No, I'm not a Human
Shared: Horror · Atmospheric · First-Person

Amnesia: The Bunker
Shared: Atmospheric · Survival · Horror

Lethal Company
Shared: First-Person · Horror · Atmospheric

Five Nights at Freddy's: Sister Location
Shared: Survival · Horror · First-Person