Games like Myst III: Exile
Games like Myst III: Exile include Outer Wilds, The Room, The Room 4: Old Sins, Firewatch, and The Talos Principle. We matched them by the tags players give Myst III: Exile on Steam (Adventure, Puzzle, Casual, Point & Click, and Exploration): closest matches first, and among equally close ones the better-known games.

Outer Wilds
Shared: Adventure · Exploration · Story Rich

The Room
Shared: Puzzle · Point & Click · Adventure

The Room 4: Old Sins
Shared: Puzzle · Adventure · Point & Click

Firewatch
Shared: Adventure · Story Rich · Atmospheric

The Talos Principle
Shared: Puzzle · Story Rich · First-Person

What Remains of Edith Finch
Shared: Story Rich · Adventure · Atmospheric

Chants of Sennaar
Shared: Adventure · Puzzle · Point & Click

Riven (1997)
Shared: Adventure · Puzzle · Point & Click

Syberia
Shared: Adventure · Puzzle · Point & Click

The Room Two
Shared: Puzzle · Point & Click · Adventure

Blue Prince
Shared: Puzzle · Exploration · Adventure

Fallout 4
Shared: Adventure · Exploration · Singleplayer

The Room Three
Shared: Puzzle · Adventure · Point & Click

Myst: Masterpiece Edition
Shared: Adventure · Casual · Puzzle

The House of Da Vinci
Shared: Puzzle · Point & Click · Adventure

Riven
Shared: Adventure · Puzzle · Exploration

Stray
Shared: Adventure · Atmospheric · Exploration

Gorogoa
Shared: Puzzle · Casual · Point & Click

Spirit of the North
Shared: Adventure · Puzzle · Casual

Call of the Sea
Shared: Adventure · Puzzle · Story Rich

Quern - Undying Thoughts
Shared: Adventure · Puzzle · Exploration

Boxes: Lost Fragments
Shared: Puzzle · Adventure · Point & Click

Myst
Shared: Adventure · Puzzle · Exploration

Obduction
Shared: Adventure · Puzzle · Exploration