Games like Black Zen White
Games like Black Zen White include LIMBO, The Pedestrian, Trine 2: Complete Story, Braid, and Never Alone (Kisima Ingitchuna). We matched them by the tags players give Black Zen White on Steam (Local Co-Op, Puzzle Platformer, Puzzle, Logic, and Time Manipulation): closest matches first, and among equally close ones the better-known games.

LIMBO
Shared: Puzzle Platformer · Puzzle · Platformer

The Pedestrian
Shared: Puzzle Platformer · Puzzle · Logic

Trine 2: Complete Story
Shared: Puzzle Platformer · Puzzle · Local Co-Op

Braid
Shared: Puzzle Platformer · Puzzle · Time Manipulation

Never Alone (Kisima Ingitchuna)
Shared: Local Co-Op · Platformer · Puzzle

Planet of Lana
Shared: Puzzle Platformer · Puzzle · Atmospheric

Webbed
Shared: Puzzle Platformer · 2D Platformer · Physics

Human Fall Flat
Shared: Puzzle · Puzzle Platformer · Local Co-Op

The Bridge
Shared: Puzzle Platformer · Puzzle · Logic

Trine Enchanted Edition
Shared: Puzzle Platformer · Local Co-Op · 2D Platformer

Degrees of Separation
Shared: Local Co-Op · Puzzle Platformer · Puzzle

GRIS
Shared: Atmospheric · Platformer · Adventure

Munin
Shared: Puzzle Platformer · Puzzle · Platformer

Creepy Tale
Shared: Puzzle Platformer · Puzzle · Platformer

BADLAND: Game of the Year Edition
Shared: Local Co-Op · Puzzle · Platformer

PICO PARK
Shared: Puzzle Platformer · Local Co-Op · Puzzle

INSIDE
Shared: Puzzle Platformer · Atmospheric · Puzzle

Creaks
Shared: Puzzle · Puzzle Platformer · Atmospheric

Neva
Shared: Puzzle · Platformer · Atmospheric

ANIMAL WELL
Shared: Puzzle · Puzzle Platformer · Platformer

CATO: Buttered Cat
Shared: Puzzle Platformer · Puzzle · Local Co-Op

Little Nightmares
Shared: Puzzle Platformer · Puzzle · Atmospheric

Portal 2
Shared: Puzzle · Puzzle Platformer · Platformer

FEZ
Shared: Puzzle · Platformer · Puzzle Platformer