Games like HorseHair
Games like HorseHair include Mouthwashing, No, I'm not a Human, MiSide, Sally Face - Episode One, and Poppy Playtime. We matched them by the tags players give HorseHair on Steam (Horror, Indie, Psychological Horror, Story Rich, and Atmospheric): closest matches first, and among equally close ones the better-known games.

Mouthwashing
Shared: Horror · Psychological Horror · Story Rich

No, I'm not a Human
Shared: Horror · Psychological Horror · Indie

MiSide
Shared: Psychological Horror · Horror · Story Rich

Sally Face - Episode One
Shared: Indie · Psychological Horror · Horror

Poppy Playtime
Shared: Horror · Singleplayer · Psychological Horror

Little Nightmares
Shared: Horror · Atmospheric · Indie

SOMA
Shared: Horror · Psychological Horror · Story Rich

Little Nightmares II
Shared: Horror · Psychological Horror · Singleplayer

Layers of Fear (2016)
Shared: Horror · Psychological Horror · Atmospheric

Firewatch
Shared: Story Rich · Atmospheric · Adventure

What Remains of Edith Finch
Shared: Story Rich · Atmospheric · Indie

Outlast
Shared: Horror · Psychological Horror · Atmospheric

Fran Bow
Shared: Psychological Horror · Horror · Story Rich

DISTRAINT: Deluxe Edition
Shared: Indie · Horror · Psychological Horror

Outlast 2
Shared: Horror · Psychological Horror · First-Person

Hellblade: Senua's Sacrifice
Shared: Atmospheric · Story Rich · Horror

Buckshot Roulette
Shared: Horror · Dark · Indie

Detention
Shared: Horror · Indie · Psychological Horror

Five Nights at Freddy's
Shared: Horror · Psychological Horror · Indie

Blair Witch
Shared: Horror · Psychological Horror · Indie

Amnesia: A Machine For Pigs
Shared: Horror · Story Rich · Atmospheric

INSIDE
Shared: Horror · Atmospheric · Indie

Still Wakes the Deep
Shared: Horror · Psychological Horror · Story Rich

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