Games like Normal Days
Games like Normal Days include Blue Prince, Portal 2, Quern - Undying Thoughts, Firewatch, and Murders on the Yangtze River. We matched them by the tags players give Normal Days on Steam (Adventure, Puzzle, Simulation, Investigation, and Mystery): closest matches first, and among equally close ones the better-known games.

Blue Prince
Shared: Puzzle · Mystery · Investigation

Portal 2
Shared: Puzzle · Singleplayer · First-Person

Quern - Undying Thoughts
Shared: Adventure · Puzzle · Mystery

Firewatch
Shared: Adventure · Mystery · First-Person

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

The Room
Shared: Puzzle · Mystery · Adventure

Poppy Playtime
Shared: Puzzle · Singleplayer · First-Person

Escape Simulator
Shared: Puzzle · Adventure · First-Person

Riven
Shared: Adventure · Puzzle · First-Person

What Remains of Edith Finch
Shared: Adventure · Mystery · First-Person

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

Outer Wilds
Shared: Adventure · Mystery · Puzzle

SchoolBoy Runaway
Shared: Adventure · Puzzle · Simulation

The Room Three
Shared: Puzzle · Adventure · Mystery

Portal
Shared: Puzzle · First-Person · Singleplayer

Return of the Obra Dinn
Shared: Puzzle · Mystery · Adventure

Killer Frequency
Shared: Adventure · Puzzle · Simulation

The Witness
Shared: Puzzle · First-Person · Singleplayer

Call of the Sea
Shared: Adventure · Puzzle · First-Person

Strange Horticulture
Shared: Puzzle · Mystery · Investigation

The Painscreek Killings
Shared: Investigation · Puzzle · Mystery

The Last Campfire
Shared: Adventure · Puzzle · Singleplayer

The Room Two
Shared: Puzzle · Mystery · Adventure

Viewfinder
Shared: Puzzle · Adventure · First-Person