Games like Let Me Play!
Games like Let Me Play! include The NOexistenceN of you AND me, Milk inside a bag of milk inside a bag of milk, Before Your Eyes, To the Moon, and OneShot. We matched them by the tags players give Let Me Play! on Steam (Adventure, Interactive Fiction, Surreal, Experimental, and Minimalist): closest matches first, and among equally close ones the better-known games.

The NOexistenceN of you AND me
Shared: Multiple Endings · Interactive Fiction · Surreal

Milk inside a bag of milk inside a bag of milk
Shared: Experimental · Interactive Fiction · Adventure

Before Your Eyes
Shared: Interactive Fiction · Adventure · Indie

To the Moon
Shared: Adventure · Interactive Fiction · Indie

OneShot
Shared: Adventure · Indie · Story Rich

Late Shift
Shared: Interactive Fiction · Adventure · Multiple Endings

Detroit: Become Human
Shared: Multiple Endings · Adventure · Choices Matter

The Beginner's Guide
Shared: Adventure · Surreal · Indie

Pentiment
Shared: Adventure · Interactive Fiction · Stylized

The Stanley Parable
Shared: Adventure · Psychological · Indie

Schastye
Shared: Adventure · Experimental · Interactive Fiction

The Hungry Lamb: Traveling in the Late Ming Dynasty
Shared: Interactive Fiction · Multiple Endings · Adventure

Superliminal
Shared: Surreal · Psychological · Adventure

Finding Paradise
Shared: Adventure · Interactive Fiction · Story Rich

Florence
Shared: Adventure · Interactive Fiction · Indie

The Coffin of Andy and Leyley
Shared: Psychological · Multiple Endings · Story Rich

Lay a Beauty to Rest: The Darkness Peach Blossom Spring
Shared: Adventure · Interactive Fiction · Multiple Endings

The Wolf Among Us
Shared: Adventure · Multiple Endings · Choices Matter

Road 96
Shared: Adventure · Multiple Endings · Choices Matter

The Witcher 3: Wild Hunt — Remastered
Shared: Adventure · Story Rich · Choices Matter

Night in the Woods
Shared: Adventure · Stylized · Story Rich

Until Dawn™
Shared: Adventure · Multiple Endings · Interactive Fiction

The Casting of Frank Stone™
Shared: Adventure · Multiple Endings · Choices Matter

Heavy Rain
Shared: Adventure · Multiple Endings · Choices Matter