Games like Eternal Night Metro
Games like Eternal Night Metro include Poppy Playtime, The Exit 8, Garten of Banban, Five Nights at Freddy's: Security Breach, and MiSide. We matched them by the tags players give Eternal Night Metro on Steam (First-Person, Female Protagonist, Horror, Multiple Endings, and Puzzle): closest matches first, and among equally close ones the better-known games.

Poppy Playtime
Shared: Horror · First-Person · Puzzle

The Exit 8
Shared: Horror · Puzzle · First-Person

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

Five Nights at Freddy's: Security Breach
Shared: Horror · First-Person · Multiple Endings

MiSide
Shared: First-Person · Horror · Psychological Horror

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

What Remains of Edith Finch
Shared: First-Person · Female Protagonist · Singleplayer

Phasmophobia
Shared: Horror · First-Person · Supernatural

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

The Death | Thần Trùng
Shared: Horror · Puzzle · First-Person

The Bathhouse Restored Edition
Shared: Horror · Multiple Endings · Immersive Sim

Garten of Banban 2
Shared: First-Person · Horror · Puzzle

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

Subliminal
Shared: First-Person · Horror · Singleplayer

Layers of Fear (2016)
Shared: Horror · First-Person · Psychological Horror

Dollmare
Shared: Horror · First-Person · 3D

Portal 2
Shared: First-Person · Puzzle · Female Protagonist

Outlast
Shared: First-Person · Horror · Singleplayer

Firework
Shared: Horror · Puzzle · Indie

Escape the Backrooms
Shared: Horror · First-Person · Psychological Horror

Resident Evil Requiem
Shared: Horror · First-Person · Zombies

Buckshot Roulette
Shared: First-Person · Horror · Singleplayer

The Bridge Curse Road to Salvation
Shared: First-Person · Horror · Puzzle

The Hat Man: Shadow Ward
Shared: First-Person · Horror · Female Protagonist