Games like Hank: Straightjacket
Games like Hank: Straightjacket include No Case Should Remain Unsolved, Tangle Tower, There Is No Game: Wrong Dimension, The Mermaid Mask, and Sally Face - Episode One. We matched them by the tags players give Hank: Straightjacket on Steam (Point & Click, Interactive Fiction, Puzzle, Visual Novel, and 2D): closest matches first, and among equally close ones the better-known games.

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

Tangle Tower
Shared: Point & Click · Puzzle · Visual Novel

There Is No Game: Wrong Dimension
Shared: Point & Click · Puzzle · 2D

The Mermaid Mask
Shared: Point & Click · Puzzle · Interactive Fiction

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

Gorogoa
Shared: Puzzle · Point & Click · 2D

Storyteller
Shared: Point & Click · Puzzle · Interactive Fiction

Machinarium
Shared: Point & Click · Puzzle · 2D

Tiny Bunny
Shared: Visual Novel · Story Rich · 2D

Fran Bow
Shared: Point & Click · Puzzle · Story Rich

Phoenix Wright: Ace Attorney Trilogy
Shared: Visual Novel · Puzzle · Story Rich

Unforeseen Incidents
Shared: Point & Click · Puzzle · Interactive Fiction

Neo Cab
Shared: Interactive Fiction · Visual Novel · Point & Click

The Case of the Golden Idol
Shared: Puzzle · Point & Click · Interactive Fiction

Servant of the Lake
Shared: Point & Click · Puzzle · Story Rich

Rusty Lake Paradise
Shared: Point & Click · Puzzle · 2D

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

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

OPUS: The Day We Found Earth
Shared: Visual Novel · Puzzle · Story Rich

Blacksad: Under the Skin
Shared: Point & Click · Puzzle · Comic Book

Deponia
Shared: Point & Click · Puzzle · 2D

Chicken Police - Paint it RED!
Shared: Visual Novel · Point & Click · Noir

The Crown of Leaves
Shared: Visual Novel · Point & Click · Story Rich

The Wolf Among Us
Shared: Visual Novel · Story Rich · Point & Click