Games like The Last Safe Place
Games like The Last Safe Place include Amnesia: Rebirth, Riven, Blue Prince, The Room 4: Old Sins, and The Room. We matched them by the tags players give The Last Safe Place on Steam (Exploration, Puzzle, Adventure, Escape Room, and Action-Adventure): closest matches first, and among equally close ones the better-known games.

Amnesia: Rebirth
Shared: Puzzle · Action-Adventure · First-Person

Riven
Shared: Puzzle · Exploration · Adventure

Blue Prince
Shared: Puzzle · Exploration · Adventure

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

The Room
Shared: Puzzle · Adventure · Atmospheric

BONEWORKS
Shared: VR · Puzzle · Adventure

Indiana Jones and the Great Circle
Shared: Puzzle · Action-Adventure · Exploration

Obduction
Shared: Exploration · Puzzle · Adventure

The Witness
Shared: Exploration · Puzzle · First-Person

Outer Wilds
Shared: Exploration · Adventure · Puzzle

Five Nights at Freddy's: Secret of the Mimic
Shared: Adventure · VR · Exploration

Myst
Shared: Exploration · Puzzle · Adventure

Stray
Shared: Adventure · Exploration · Puzzle

We Were Here Together
Shared: Puzzle · Escape Room · Exploration

Big Walk
Shared: Exploration · Puzzle · Adventure

Escape Simulator
Shared: Puzzle · Escape Room · Adventure

Firewatch
Shared: Adventure · Exploration · First-Person

Little Nightmares II
Shared: Adventure · Puzzle · Atmospheric

Poppy Playtime
Shared: Puzzle · First-Person · Adventure

Scanner Sombre
Shared: Exploration · Adventure · VR

Viewfinder
Shared: Puzzle · First-Person · Adventure

Rise of the Tomb Raider™
Shared: Adventure · Exploration · Action-Adventure

PEAK
Shared: Adventure · Exploration · First-Person

What Remains of Edith Finch
Shared: Exploration · Adventure · First-Person