Games like Akeno's Veil
Games like Akeno's Veil include What Remains of Edith Finch, The Exit 8, Layers of Fear (2016), Poppy Playtime, and MiSide. We matched them by the tags players give Akeno's Veil on Steam (Psychological Horror, Horror, Walking Simulator, Puzzle, and Exploration): closest matches first, and among equally close ones the better-known games.

What Remains of Edith Finch
Shared: Walking Simulator · Exploration · First-Person

The Exit 8
Shared: Walking Simulator · Horror · Puzzle

Layers of Fear (2016)
Shared: Psychological Horror · Horror · Walking Simulator

Poppy Playtime
Shared: Horror · Puzzle · Psychological Horror

MiSide
Shared: Psychological Horror · Horror · First-Person

SOMA
Shared: Psychological Horror · Horror · Exploration

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

Amnesia: A Machine For Pigs
Shared: Horror · Walking Simulator · Psychological Horror

Firewatch
Shared: Walking Simulator · First-Person · Exploration

Inside the Backrooms
Shared: Horror · Psychological Horror · Puzzle

Scanner Sombre
Shared: Horror · Walking Simulator · Exploration

Mouthwashing
Shared: Psychological Horror · Horror · Walking Simulator

INFRA
Shared: Puzzle · Exploration · Walking Simulator

Amnesia: The Dark Descent
Shared: Horror · Psychological Horror · Puzzle

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

Garten of Banban 2
Shared: Horror · Psychological Horror · Puzzle

Outer Wilds
Shared: Exploration · Puzzle · Mystery

Outlast
Shared: Horror · Psychological Horror · First-Person

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

Psalm 5:9-13
Shared: Psychological Horror · Horror · Exploration

Still Wakes the Deep
Shared: Psychological Horror · Horror · Walking Simulator

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

Fears to Fathom - Woodbury Getaway
Shared: Psychological Horror · Horror · First-Person

The Witness
Shared: Puzzle · Exploration · First-Person