Games like Do Not Press The Button (Or You'll Delete The Multiverse)
Games like Do Not Press The Button (Or You'll Delete The Multiverse) include The Stanley Parable, Firewatch, What Remains of Edith Finch, PEAK, and Road 96. We matched them by the tags players give Do Not Press The Button (Or You'll Delete The Multiverse) on Steam (Adventure, Exploration, 3D, First-Person, and Comedy): closest matches first, and among equally close ones the better-known games.

The Stanley Parable
Shared: Comedy · First-Person · Adventure

Firewatch
Shared: Adventure · First-Person · Exploration

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

PEAK
Shared: Adventure · Exploration · First-Person

Road 96
Shared: First-Person · Adventure · Choices Matter

Slime Rancher
Shared: Exploration · Adventure · First-Person

Outer Wilds
Shared: Exploration · Adventure · Mystery

Riven
Shared: Adventure · Exploration · First-Person

The Forgotten City
Shared: Adventure · Exploration · Choices Matter

RV There Yet?
Shared: Adventure · Exploration · First-Person

CARIMARA: Beneath the forlorn limbs
Shared: Exploration · Adventure · 3D

Jazzpunk: Director's Cut
Shared: Adventure · Comedy · Exploration

Fallout 4
Shared: Exploration · Adventure · Singleplayer

Five Nights at Freddy's: Security Breach
Shared: First-Person · Exploration · Singleplayer

Detroit: Become Human
Shared: Choices Matter · Adventure · Singleplayer

Quern - Undying Thoughts
Shared: Adventure · Exploration · First-Person

The Long Dark
Shared: Exploration · Adventure · First-Person

Gone Home
Shared: Exploration · First-Person · Walking Simulator

Toilet Chronicles
Shared: Adventure · First-Person · Comedy

The Witness
Shared: Exploration · First-Person · Singleplayer

Blue Prince
Shared: Exploration · First-Person · Adventure

Myst
Shared: Adventure · Exploration · First-Person

The Beginner's Guide
Shared: First-Person · Adventure · Walking Simulator

Tales from the Borderlands
Shared: Adventure · Comedy · Choices Matter