Games like Mysterious House
Games like Mysterious House include LIMBO, Baba Is You, Squishy the Suicidal Pig, Hue, and Braid. We matched them by the tags players give Mysterious House on Steam (Side Scroller, Sokoban, Turn-Based Tactics, Mystery Dungeon, and Dungeon Crawler): closest matches first, and among equally close ones the better-known games.

LIMBO
Shared: Puzzle · Platformer · 2D

Baba Is You
Shared: Puzzle · Sokoban · Indie

Squishy the Suicidal Pig
Shared: Puzzle · Platformer · Adventure

Hue
Shared: Puzzle · Side Scroller · Platformer

Braid
Shared: Puzzle · Platformer · 2D

Shovel Knight: Treasure Trove
Shared: Platformer · Side Scroller · 2D

Nihilumbra
Shared: Casual · Puzzle · Platformer

Deadlight
Shared: Side Scroller · Platformer · Adventure

Toki Tori
Shared: Puzzle · Casual · Platformer

Patrick's Parabox
Shared: Sokoban · Puzzle · 2D

SANABI
Shared: Pixel Graphics · 2D · Adventure

Mark of the Ninja
Shared: Side Scroller · Platformer · 2D

Broforce
Shared: Side Scroller · 2D · Platformer

Celeste
Shared: Platformer · Pixel Graphics · 2D

Sonic Mania
Shared: Platformer · 2D · Side Scroller

Pinstripe
Shared: Casual · Side Scroller · Adventure

Skul: The Hero Slayer
Shared: Side Scroller · 2D · Indie

Void Stranger
Shared: Sokoban · Puzzle · 2D

Turbo Pug
Shared: Side Scroller · Casual · 2D

Thank Goodness You're Here!
Shared: Casual · Adventure · Side Scroller

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

One Way Heroics
Shared: Side Scroller · Mystery Dungeon · Dungeon Crawler

Zup! 4
Shared: Casual · Puzzle · 2D

The Pedestrian
Shared: Side Scroller · Puzzle · Platformer