Games like Broken Minds
Games like Broken Minds include There Is No Game: Wrong Dimension, The Room, Sally Face - Episode One, DISTRAINT: Deluxe Edition, and The Room Two. We matched them by the tags players give Broken Minds on Steam (Adventure, Casual, RPG, Point & Click, and Puzzle): closest matches first, and among equally close ones the better-known games.

There Is No Game: Wrong Dimension
Shared: Adventure · Point & Click · Puzzle

The Room
Shared: Puzzle · Point & Click · Adventure

Sally Face - Episode One
Shared: Adventure · Puzzle · Point & Click

DISTRAINT: Deluxe Edition
Shared: Adventure · 2D · Pixel Graphics

The Room Two
Shared: Puzzle · Point & Click · Adventure

Impostor Factory
Shared: Adventure · RPG · 2D

Melvor Idle
Shared: Casual · RPG · Adventure

Fran Bow
Shared: Point & Click · Adventure · Puzzle

Sanfu
Shared: RPG · Adventure · Puzzle

The Room Three
Shared: Adventure · Puzzle · Point & Click

DAVE THE DIVER
Shared: Casual · Adventure · Pixel Graphics

Endacopia
Shared: Adventure · Point & Click · Puzzle

Rusty Lake Paradise
Shared: Adventure · Point & Click · Puzzle

Storyteller
Shared: Point & Click · Adventure · Puzzle

Tales of the Black Forest
Shared: RPG · Adventure · Pixel Graphics

The Witch's House MV
Shared: RPG · Adventure · 2D

Pocket Mirror ~ GoldenerTraum
Shared: Adventure · RPG · Casual

Look Outside
Shared: RPG · Adventure · Pixel Graphics

The Rewinder
Shared: Adventure · Puzzle · Point & Click

The Room 4: Old Sins
Shared: Adventure · Puzzle · Point & Click

That's not my Neighbor
Shared: Adventure · Casual · Point & Click

LIMBO
Shared: Puzzle · Adventure · 2D

Servant of the Lake
Shared: Adventure · Puzzle · Point & Click

To the Moon
Shared: Adventure · RPG · Pixel Graphics