Games like Clay Puzzle
Games like Clay Puzzle include Pikuniku, Zup! S, Haunt the House: Terrortown, Hidden Folks, and Zup! 2. We matched them by the tags players give Clay Puzzle on Steam (Action, Casual, Puzzle, Solitaire, and 2D): closest matches first, and among equally close ones the better-known games.

Pikuniku
Shared: Casual · Puzzle · Action

Zup! S
Shared: Casual · Puzzle · 2D

Haunt the House: Terrortown
Shared: Casual · Action · Cute

Hidden Folks
Shared: Casual · Puzzle · Hand-drawn

Zup! 2
Shared: Casual · Puzzle · 2D

Gorogoa
Shared: Puzzle · Casual · Hand-drawn

Zup!
Shared: Casual · Puzzle · 2D

World of Goo
Shared: Puzzle · Casual · 2D

Melatonin
Shared: Cute · Hand-drawn · Action

Plants vs. Zombies GOTY Edition
Shared: Casual · 2D · Comedy

Scribblenauts Unlimited
Shared: Casual · Puzzle · 2D

There Is No Game: Wrong Dimension
Shared: Puzzle · Casual · Indie

Zup! 4
Shared: Casual · Puzzle · 2D

Zup! 3
Shared: Casual · Puzzle · 2D

Machinarium
Shared: Puzzle · Hand-drawn · 2D

Zup! 8
Shared: Casual · Puzzle · 2D

Gunpoint
Shared: Puzzle · 2D · Action

Turnip Boy Commits Tax Evasion
Shared: Puzzle · Action · Cute

Carto
Shared: Puzzle · Cute · Hand-drawn

Puyo Puyo™Tetris®
Shared: Casual · Puzzle · Action

Toki Tori
Shared: Puzzle · Casual · Cute

A Little to the Left
Shared: Puzzle · Casual · Cute

Donut County
Shared: Casual · Puzzle · Cute

Baba Is You
Shared: Puzzle · Cute · 2D