Games like Hammerhead
Games like Hammerhead include OneShot, Undertale, Impostor Factory, Baba Is You, and There Is No Game: Wrong Dimension. We matched them by the tags players give Hammerhead on Steam (Typing, Puzzle, Choices Matter, Character Customization, and Pixel Graphics): closest matches first, and among equally close ones the better-known games.

OneShot
Shared: Pixel Graphics · Puzzle · Story Rich

Undertale
Shared: Choices Matter · Pixel Graphics · Story Rich

Impostor Factory
Shared: Pixel Graphics · Story Rich · Top-Down

Baba Is You
Shared: Puzzle · Pixel Graphics · Indie

There Is No Game: Wrong Dimension
Shared: Puzzle · Pixel Graphics · Indie

Papers, Please
Shared: Pixel Graphics · Puzzle · Indie

Baldur's Gate 3
Shared: Choices Matter · Character Customization · Story Rich

7 Days to End with You
Shared: Puzzle · Typing · Word Game

Finding Paradise
Shared: Pixel Graphics · Story Rich · 2D

The Rewinder
Shared: Puzzle · Pixel Graphics · 2D

Unpacking
Shared: Puzzle · Pixel Graphics · Story Rich

DISTRAINT: Deluxe Edition
Shared: Pixel Graphics · Puzzle · Story Rich

WILL: A Wonderful World / WILL:美好世界
Shared: Puzzle · Choices Matter · Story Rich

Turnip Boy Commits Tax Evasion
Shared: Puzzle · Top-Down · Story Rich

The Red Strings Club
Shared: Choices Matter · Pixel Graphics · Story Rich

DELTARUNE
Shared: Pixel Graphics · Story Rich · 2D

A Space for the Unbound
Shared: Pixel Graphics · Puzzle · Story Rich

Zup! S
Shared: Puzzle · Casual · 2D

Replica
Shared: Puzzle · Pixel Graphics · Choices Matter

FEZ
Shared: Puzzle · Pixel Graphics · Indie

To the Moon
Shared: Story Rich · Pixel Graphics · Indie

Ib
Shared: Pixel Graphics · Story Rich · Puzzle

The Case of the Golden Idol
Shared: Puzzle · Story Rich · Pixel Graphics

Until Then
Shared: Pixel Graphics · Story Rich · 2D