Games like RHEM III SE
Games like RHEM III SE include Blue Prince, Storyteller, Outer Wilds, The Room 4: Old Sins, and Quern - Undying Thoughts. We matched them by the tags players give RHEM III SE on Steam (Adventure, Puzzle, Exploration, Mystery, and Interactive Fiction): closest matches first, and among equally close ones the better-known games.

Blue Prince
Shared: Puzzle · Exploration · Mystery

Storyteller
Shared: Puzzle · Adventure · Interactive Fiction

Outer Wilds
Shared: Exploration · Adventure · Mystery

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

Quern - Undying Thoughts
Shared: Adventure · Puzzle · Mystery

The Room
Shared: Puzzle · Mystery · Adventure

The Rise of the Golden Idol
Shared: Mystery · Puzzle · Adventure

Murders on the Yangtze River
Shared: Puzzle · Adventure · Mystery

Strange Horticulture
Shared: Puzzle · Mystery · Adventure

The Case of the Golden Idol
Shared: Mystery · Puzzle · Investigation

The Forgotten City
Shared: Adventure · Exploration · Mystery

Sherlock Holmes: Crimes and Punishments
Shared: Adventure · Mystery · Puzzle

The Witness
Shared: Puzzle · Exploration · First-Person

Firewatch
Shared: Adventure · Mystery · Exploration

Killer Frequency
Shared: Adventure · Puzzle · Interactive Fiction

The House of Da Vinci
Shared: Puzzle · Mystery · Exploration

Sherlock Holmes: The Devil's Daughter
Shared: Adventure · Puzzle · Mystery

Riven
Shared: Adventure · Puzzle · Exploration

What Remains of Edith Finch
Shared: Mystery · Adventure · Exploration

Myst
Shared: Adventure · Puzzle · Exploration

Chants of Sennaar
Shared: Adventure · Puzzle · Singleplayer

Pentiment
Shared: Adventure · Investigation · Interactive Fiction

Obduction
Shared: Adventure · Puzzle · Exploration

The Room Two
Shared: Puzzle · Mystery · Adventure