Games like Banish
Games like Banish include Outlast, Resident Evil Village, Resident Evil 7 Biohazard, Outlast 2, and Ultimate Custom Night. We matched them by the tags players give Banish on Steam (Survival Horror, Horror, Difficult, Atmospheric, and Singleplayer): closest matches first, and among equally close ones the better-known games.

Outlast
Shared: Horror · Survival Horror · Atmospheric

Resident Evil Village
Shared: Survival Horror · Horror · Singleplayer

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

Outlast 2
Shared: Horror · Survival Horror · Singleplayer

Ultimate Custom Night
Shared: Horror · Survival Horror · Difficult

Five Nights at Freddy's
Shared: Horror · Survival Horror · Singleplayer

Poppy Playtime
Shared: Horror · Singleplayer · Survival Horror

Five Nights at Freddy's 4
Shared: Survival Horror · Horror · Singleplayer

SOMA
Shared: Horror · Atmospheric · Survival Horror

Five Nights at Freddy's 2
Shared: Horror · Survival Horror · Singleplayer

Resident Evil 2
Shared: Survival Horror · Horror · Singleplayer

Five Nights at Freddy's: Sister Location
Shared: Survival Horror · Horror · Singleplayer

Amnesia: The Bunker
Shared: Survival Horror · Horror · Atmospheric

Alien: Isolation
Shared: Survival Horror · Horror · Atmospheric

Resident Evil Requiem
Shared: Survival Horror · Horror · Singleplayer

Resident Evil 4
Shared: Horror · Survival Horror · Singleplayer

Five Nights at Freddy's: Security Breach
Shared: Horror · Survival Horror · Singleplayer

FIVE NIGHTS AT FREDDY'S: HELP WANTED
Shared: Horror · Survival Horror · Singleplayer

Darkwood
Shared: Survival Horror · Horror · Atmospheric

Amnesia: The Dark Descent
Shared: Horror · Survival Horror · Atmospheric

Dead Space
Shared: Survival Horror · Horror · Singleplayer

Five Nights at Freddy's 3
Shared: Horror · Survival Horror · Singleplayer

Lethal Company
Shared: Horror · Survival Horror · First-Person

Slender: The Arrival
Shared: Survival Horror · Horror · First-Person