Games like 03.04
Games like 03.04 include Outlast, Dead by Daylight, Left 4 Dead 2, The Beast Inside, and Resident Evil Village. We matched them by the tags players give 03.04 on Steam (Indie, Action, Adventure, Horror, and FPS): closest matches first, and among equally close ones the better-known games.

Outlast
Shared: Horror · Survival Horror · Gore

Dead by Daylight
Shared: Horror · Survival Horror · Multiplayer

Left 4 Dead 2
Shared: FPS · Action · Multiplayer

The Beast Inside
Shared: Adventure · Horror · Action

Resident Evil Village
Shared: Horror · Action · Survival Horror

Resident Evil 7 Biohazard
Shared: Horror · Survival Horror · Action

Dying Light
Shared: Horror · Survival Horror · Action

Outlast 2
Shared: Horror · Survival Horror · Gore

Ready or Not
Shared: FPS · Multiplayer · Horror

The Forest
Shared: Horror · Adventure · Action

Resident Evil 2
Shared: Horror · Survival Horror · Action

DOOM Eternal
Shared: Action · FPS · Gore

Resident Evil 3
Shared: Action · Horror · Survival Horror

Sons Of The Forest
Shared: Multiplayer · Survival Horror · Horror

Back 4 Blood
Shared: FPS · Multiplayer · Action

The Outlast Trials
Shared: Horror · Multiplayer · Survival Horror

Blood and Bacon
Shared: Action · Gore · Multiplayer

METRO 2033 Redux
Shared: FPS · Action · Horror

Dark Deception
Shared: Horror · Multiplayer · Indie

DOOM
Shared: Action · FPS · Gore

Granny
Shared: Horror · Survival Horror · Indie

Killing Floor
Shared: FPS · Horror · Action

Metro Exodus
Shared: FPS · Action · Horror

Resident Evil Revelations 2
Shared: Horror · Action · Survival Horror