Games like Stig
Games like Stig include Baba Is You, Patrick's Parabox, Zup! S, Is This Seat Taken?, and Strange Jigsaws. We matched them by the tags players give Stig on Steam (Puzzle, Sokoban, Minimalist, Logic, and Colorful): closest matches first, and among equally close ones the better-known games.

Baba Is You
Shared: Puzzle · Logic · Sokoban

Patrick's Parabox
Shared: Puzzle · Sokoban · Minimalist

Zup! S
Shared: Puzzle · 2D · Minimalist

Is This Seat Taken?
Shared: Puzzle · Logic · Cute

Strange Jigsaws
Shared: Puzzle · 2D · Colorful

Hexcells
Shared: Puzzle · Logic · Minimalist

Hexcells Infinite
Shared: Puzzle · Logic · Minimalist

LYNE
Shared: Puzzle · Minimalist · Logic

Hook
Shared: Puzzle · Minimalist · Casual

Snakebird
Shared: Puzzle · Colorful · Sokoban

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

Hexologic
Shared: Puzzle · Logic · Sokoban

Hexcells Plus
Shared: Puzzle · Logic · Minimalist

klocki
Shared: Puzzle · Minimalist · Logic

Zup!
Shared: Puzzle · 2D · Minimalist

Mini Metro
Shared: Puzzle · Minimalist · Singleplayer

Maxwell's puzzling demon
Shared: Puzzle · Sokoban · Logic

SOK
Shared: Puzzle · Sokoban · Minimalist

Zup! X
Shared: Puzzle · 2D · Minimalist

Zup! 2
Shared: Puzzle · 2D · Minimalist

Cat Goes Fishing
Shared: 2D · Cute · Indie

Zup! F
Shared: Puzzle · 2D · Minimalist

Linelith
Shared: Puzzle · Sokoban · 2D

Paquerette Down the Bunburrows
Shared: Sokoban · Logic · Puzzle