Games like Voyager III
Games like Voyager III include Hidden Folks, Storyteller, Gorogoa, There Is No Game: Wrong Dimension, and Machinarium. We matched them by the tags players give Voyager III on Steam (Casual, Interactive Fiction, Point & Click, Puzzle, and Hidden Object): closest matches first, and among equally close ones the better-known games.

Hidden Folks
Shared: Casual · Hidden Object · Puzzle

Storyteller
Shared: Interactive Fiction · Point & Click · Puzzle

Gorogoa
Shared: Puzzle · Casual · Hand-drawn

There Is No Game: Wrong Dimension
Shared: Point & Click · Puzzle · Casual

Machinarium
Shared: Point & Click · Puzzle · Hand-drawn

The Room Two
Shared: Puzzle · Point & Click · Hidden Object

The Room
Shared: Puzzle · Point & Click · Hidden Object

Please, Don’t Touch Anything
Shared: Puzzle · Point & Click · Casual

Rusty Lake Paradise
Shared: Point & Click · Puzzle · 2D

Firework
Shared: Puzzle · 2D · Horror

Sally Face - Episode One
Shared: Puzzle · Point & Click · Psychological Horror

Hidden Through Time
Shared: Casual · Hidden Object · Point & Click

Morphopolis
Shared: Puzzle · Casual · Point & Click

When The Past Was Around
Shared: Hidden Object · Interactive Fiction · Puzzle

The Tiny Bang Story
Shared: Point & Click · Puzzle · Casual

Fran Bow
Shared: Point & Click · Puzzle · Psychological Horror

Zup!
Shared: Casual · Puzzle · 2D

A Little to the Left
Shared: Puzzle · Casual · Point & Click

Birth
Shared: Point & Click · Puzzle · Hidden Object

Cube Escape Collection
Shared: Point & Click · Puzzle · Horror

Frankenstein: Master of Death
Shared: Casual · Point & Click · Hidden Object

Rusty Lake Hotel
Shared: Point & Click · Puzzle · Horror

That's not my Neighbor
Shared: Casual · Point & Click · Horror

Varenje
Shared: Casual · Puzzle · Point & Click