Games like Don't Feed The Cat
Games like Don't Feed The Cat include Poppy Playtime, Buckshot Roulette, KovaaK's, Bendy and the Ink Machine, and No, I'm not a Human. We matched them by the tags players give Don't Feed The Cat on Steam (Simulation, Action, Singleplayer, Puzzle, and FPS): closest matches first, and among equally close ones the better-known games.

Poppy Playtime
Shared: Singleplayer · Puzzle · First-Person

Buckshot Roulette
Shared: Singleplayer · Dark · First-Person

KovaaK's
Shared: Action · Simulation · FPS

Bendy and the Ink Machine
Shared: Singleplayer · Puzzle · First-Person

No, I'm not a Human
Shared: Singleplayer · Horror · First-Person

Resident Evil Village
Shared: Singleplayer · Action · First-Person

Superliminal
Shared: Puzzle · First-Person · Singleplayer

Garten of Banban
Shared: Singleplayer · First-Person · Puzzle

Atomic Heart
Shared: Action · Singleplayer · FPS

BONEWORKS
Shared: Action · Singleplayer · Puzzle

Half-Life 2
Shared: Action · FPS · Singleplayer

Portal 2
Shared: Singleplayer · Puzzle · First-Person

Ready or Not
Shared: FPS · Singleplayer · Action

In Sound Mind
Shared: Action · Puzzle · Singleplayer

Bendy and the Dark Revival
Shared: Singleplayer · Action · First-Person

SUPERHOT
Shared: Action · FPS · Singleplayer

Contraband Police
Shared: Simulation · Singleplayer · Action

Black Mesa
Shared: Action · FPS · Singleplayer

Resident Evil 7 Biohazard
Shared: Singleplayer · First-Person · Horror

Resident Evil Requiem
Shared: Action · FPS · Singleplayer

Aimlabs
Shared: Simulation · FPS · Action

Outlast
Shared: First-Person · Singleplayer · Horror

Call of Duty®
Shared: FPS · Singleplayer · Action

Ravenfield
Shared: Singleplayer · FPS · Action