Games like Bloodbath
Games like Bloodbath include The Case of the Golden Idol, Sally Face - Episode One, Poppy Playtime, Firework, and The Rewinder. We matched them by the tags players give Bloodbath on Steam (Investigation, Mystery, Puzzle, Pixel Graphics, and FMV): closest matches first, and among equally close ones the better-known games.

The Case of the Golden Idol
Shared: Mystery · Investigation · Puzzle

Sally Face - Episode One
Shared: Puzzle · Mystery · Dark

Poppy Playtime
Shared: Puzzle · Horror · Mystery

Firework
Shared: Puzzle · Mystery · Horror

The Rewinder
Shared: Mystery · Puzzle · Pixel Graphics

Strange Horticulture
Shared: Mystery · Puzzle · Investigation

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

Blue Prince
Shared: Mystery · Puzzle · Investigation

The Room
Shared: Mystery · Puzzle · Singleplayer

The Drifter
Shared: Investigation · Pixel Graphics · Mystery

Bendy and the Ink Machine
Shared: Puzzle · Horror · Mystery

The Room Two
Shared: Mystery · Puzzle · Horror

Unheard - Voices of Crime
Shared: Mystery · Puzzle · Story Rich

Pony Island
Shared: Puzzle · Pixel Graphics · Dark

Cube Escape Collection
Shared: Puzzle · Mystery · Horror

No Case Should Remain Unsolved
Shared: Investigation · Puzzle · Pixel Graphics

The Room Three
Shared: Mystery · Puzzle · Singleplayer

Kathy Rain 2: Soothsayer
Shared: Investigation · Mystery · Puzzle

The Hex
Shared: Mystery · Pixel Graphics · Dark

Servant of the Lake
Shared: Puzzle · Mystery · Story Rich

The Roottrees are Dead
Shared: Mystery · Puzzle · Investigation

Rusty Lake Paradise
Shared: Puzzle · Mystery · Horror

The Excavation of Hob's Barrow
Shared: Pixel Graphics · Puzzle · Horror

Papers, Please
Shared: Pixel Graphics · Puzzle · Singleplayer