Games like The Zebra-Man!
Games like The Zebra-Man! include 12 is Better Than 6, Halo: Spartan Assault, Hotline Miami, Firework, and LIMBO. We matched them by the tags players give The Zebra-Man! on Steam (Singleplayer, Top-Down Shooter, Twin Stick Shooter, Puzzle, and Indie): closest matches first, and among equally close ones the better-known games.

12 is Better Than 6
Shared: Top-Down Shooter · Singleplayer · Shooter

Halo: Spartan Assault
Shared: Top-Down Shooter · Singleplayer · Twin Stick Shooter

Hotline Miami
Shared: Indie · Top-Down · Singleplayer

Firework
Shared: Puzzle · Indie · Singleplayer

LIMBO
Shared: Puzzle · Indie · Singleplayer

The Hong Kong Massacre
Shared: Top-Down Shooter · Twin Stick Shooter · Indie

RUINER
Shared: Top-Down Shooter · Indie · Twin Stick Shooter

Hotline Miami 2: Wrong Number
Shared: Singleplayer · Indie · Top-Down Shooter

Baba Is You
Shared: Singleplayer · Puzzle · Indie

CARRION
Shared: Indie · Singleplayer · Puzzle

Poppy Playtime
Shared: Singleplayer · Puzzle · Horror

Alien Shooter
Shared: Shooter · Singleplayer · Top-Down Shooter

Gunpoint
Shared: Puzzle · Indie · Singleplayer

Cyberhunt
Shared: Indie · Twin Stick Shooter · Arcade

My Friend Pedro
Shared: Indie · Shooter · Singleplayer

Little Nightmares
Shared: Singleplayer · Puzzle · Indie

Shadowgrounds
Shared: Top-Down Shooter · Singleplayer · Shooter

Ready or Not
Shared: Singleplayer · Shooter · Horror

SYNTHETIK: Legion Rising
Shared: Top-Down Shooter · Indie · Twin Stick Shooter

Trepang2
Shared: Singleplayer · Shooter · Horror

INSIDE
Shared: Singleplayer · 2.5D · Indie

UBERMOSH Vol.5
Shared: Indie · Singleplayer · Arcade

Pony Island
Shared: Puzzle · Indie · Singleplayer

Door Kickers
Shared: Singleplayer · Indie · Top-Down