Games like Rescuing My Wife
Games like Rescuing My Wife include Blue Prince, We Were Here Together, TUNIC, Papers, Please, and The Room 4: Old Sins. We matched them by the tags players give Rescuing My Wife on Steam (Exploration, Escape Room, Puzzle, Investigation, and Simulation): closest matches first, and among equally close ones the better-known games.

Blue Prince
Shared: Exploration · Puzzle · Investigation

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

TUNIC
Shared: Exploration · Puzzle · Action-Adventure

Papers, Please
Shared: Simulation · Puzzle · Indie

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

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

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

Escape Simulator 2
Shared: Puzzle · Escape Room · Investigation

Terraria
Shared: Survival · Exploration · 2D

Outer Wilds
Shared: Exploration · Puzzle · Story Rich

The Painscreek Killings
Shared: Exploration · Investigation · Puzzle

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

ANIMAL WELL
Shared: Exploration · Puzzle · 2D

Servant of the Lake
Shared: Puzzle · Escape Room · Story Rich

Amnesia: Rebirth
Shared: Puzzle · Action-Adventure · Exploration

Murders on the Yangtze River
Shared: Puzzle · Exploration · Investigation

Rain World
Shared: Exploration · Survival · 2D

We Were Here
Shared: Puzzle · Escape Room · Exploration

Metel - Horror Escape
Shared: Puzzle · Exploration · Investigation

Lorelei and the Laser Eyes
Shared: Exploration · Puzzle · Action-Adventure

OneShot
Shared: Puzzle · Exploration · Story Rich

Escape the Backrooms
Shared: Escape Room · Exploration · Horror

We Were Here Too
Shared: Escape Room · Puzzle · Investigation

The Long Dark
Shared: Exploration · Survival · Simulation