Games like Escape from Prompt: Rogue AI
Games like Escape from Prompt: Rogue AI include Strange Jigsaws, There Is No Game: Wrong Dimension, Laughing to Die, Pikuniku, and Scribblenauts Unlimited. We matched them by the tags players give Escape from Prompt: Rogue AI on Steam (Adventure, Puzzle, 2D Platformer, CRPG, and 2D): closest matches first, and among equally close ones the better-known games.

Strange Jigsaws
Shared: Adventure · Puzzle · 2D

There Is No Game: Wrong Dimension
Shared: Puzzle · Adventure · 2D

Laughing to Die
Shared: Adventure · Puzzle · 2D Platformer

Pikuniku
Shared: Adventure · Puzzle · 2D

Scribblenauts Unlimited
Shared: Puzzle · Adventure · 2D

LIMBO
Shared: Puzzle · Adventure · 2D

Neva
Shared: Adventure · Puzzle · 2D Platformer

Thank Goodness You're Here!
Shared: Adventure · 2D Platformer · 2D

The Death Game Report
Shared: Puzzle · Adventure · 2D

A=B
Shared: Puzzle · Text-Based · Programming

Braid
Shared: Puzzle · 2D Platformer · 2D

Kugayama Shiori's Death Diary
Shared: Adventure · 2D Platformer · Text-Based

Deponia
Shared: Adventure · Puzzle · 2D

Moncage
Shared: Puzzle · Adventure · Abstract

Progressbar95
Shared: Puzzle · 2D · 1990's

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

Hue
Shared: Puzzle · Adventure · 2D

Sanfu
Shared: Puzzle · Adventure · 2D

BEEP
Shared: Adventure · 2D · Puzzle

Gorogoa
Shared: Puzzle · Adventure · 2D

Mind Over Magnet
Shared: Puzzle · Adventure · 2D Platformer

Munin
Shared: Puzzle · Adventure · 2D Platformer

SANABI
Shared: Adventure · 2D Platformer · 2D

Storyteller
Shared: Puzzle · Adventure · 2D