Games like Death in the Manor
Games like Death in the Manor include Storyteller, There Is No Game: Wrong Dimension, Death and Taxes, Gorogoa, and Boxes: Lost Fragments. We matched them by the tags players give Death in the Manor on Steam (Interactive Fiction, Puzzle, Point & Click, Action-Adventure, and 3D): closest matches first, and among equally close ones the better-known games.

Storyteller
Shared: Puzzle · Interactive Fiction · Point & Click

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

Death and Taxes
Shared: Point & Click · Puzzle · Choices Matter

Gorogoa
Shared: Puzzle · Point & Click · Casual

Boxes: Lost Fragments
Shared: Puzzle · Point & Click · 3D

The Room
Shared: Puzzle · Point & Click · Adventure

TUNIC
Shared: Puzzle · Action-Adventure · Isometric

Mirror 2: Project X
Shared: 3D · Interactive Fiction · Casual

No Case Should Remain Unsolved
Shared: Puzzle · Interactive Fiction · Point & Click

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

Chants of Sennaar
Shared: Puzzle · Point & Click · Adventure

Papers, Please
Shared: Point & Click · Puzzle · Indie

Erica
Shared: Interactive Fiction · Point & Click · Puzzle

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

Disco Elysium - The Final Cut
Shared: Isometric · Point & Click · Choices Matter

Puzzle Agent
Shared: Puzzle · Point & Click · Interactive Fiction

Please, Don’t Touch Anything
Shared: Puzzle · Point & Click · Casual

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

Duck Detective: The Secret Salami
Shared: Casual · Noir · Point & Click

Sizeable
Shared: Puzzle · Casual · 3D

Monument Valley
Shared: Puzzle · Casual · Point & Click

Amanda the Adventurer 2
Shared: Puzzle · Interactive Fiction · Point & Click

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

Morphopolis
Shared: Puzzle · Point & Click · Casual