Games like CAVE VR
Games like CAVE VR include Monument Valley, Supraland, Moncage, Big Walk, and Spirit of the North. We matched them by the tags players give CAVE VR on Steam (Casual, Adventure, Puzzle, 3D Platformer, and Puzzle Platformer): closest matches first, and among equally close ones the better-known games.

Monument Valley
Shared: Puzzle · Adventure · Casual

Supraland
Shared: Adventure · Puzzle Platformer · Exploration

Moncage
Shared: Casual · Puzzle · Adventure

Big Walk
Shared: Puzzle · Adventure · Exploration

Spirit of the North
Shared: Adventure · Casual · Puzzle

COCOON
Shared: Adventure · Puzzle · Exploration

Riven
Shared: Adventure · Puzzle · Exploration

Portal
Shared: Puzzle · Puzzle Platformer · 3D Platformer

The Talos Principle 2
Shared: Puzzle · Puzzle Platformer · Exploration

Refunct
Shared: 3D Platformer · Casual · Puzzle Platformer

Chained Together
Shared: Adventure · Casual · Puzzle Platformer

The Unfinished Swan
Shared: Adventure · Puzzle · Exploration

Portal 2
Shared: Puzzle · Puzzle Platformer · First-Person

A Story About My Uncle
Shared: Adventure · First-Person · 3D Platformer

Myst
Shared: Adventure · Puzzle · Exploration

Viewfinder
Shared: Puzzle · Puzzle Platformer · Adventure

The Last Campfire
Shared: Adventure · Puzzle · 3D Platformer

FEZ
Shared: Puzzle · Adventure · Casual

Climb The Backrooms
Shared: Casual · Adventure · Puzzle

Slime Rancher
Shared: Adventure · Exploration · Casual

The Witness
Shared: Puzzle · Exploration · First-Person

Obduction
Shared: Adventure · Puzzle · Exploration

The Exit 8
Shared: Puzzle · Exploration · 3D

VLADiK BRUTAL
Shared: Adventure · Casual · Puzzle