Games like Wire
Games like Wire include Baba Is You, Patrick's Parabox, OneShot, Antichamber, and Hollow Knight: Silksong. We matched them by the tags players give Wire on Steam (Indie, Puzzle, Sokoban, Exploration, and 2D): closest matches first, and among equally close ones the better-known games.

Baba Is You
Shared: Indie · Puzzle · Sokoban

Patrick's Parabox
Shared: Puzzle · Sokoban · Indie

OneShot
Shared: Indie · Puzzle · Pixel Graphics

Antichamber
Shared: Puzzle · Indie · Exploration

Hollow Knight: Silksong
Shared: Indie · Difficult · 2D

Rain World
Shared: Indie · Exploration · Difficult

FEZ
Shared: Puzzle · Indie · Exploration

Hollow Knight
Shared: Indie · 2D · Difficult

Void Stranger
Shared: Puzzle · Sokoban · Indie

The Witness
Shared: Puzzle · Exploration · Indie

Celeste
Shared: Indie · Pixel Graphics · Difficult

Zup! S
Shared: Puzzle · Indie · 2D

Changed
Shared: Puzzle · Indie · Difficult

Papers, Please
Shared: Indie · Puzzle · Pixel Graphics

The Binding of Isaac: Rebirth
Shared: Indie · Pixel Graphics · Difficult

Stray
Shared: Exploration · Puzzle · Singleplayer

Hyper Light Drifter
Shared: Indie · Pixel Graphics · Difficult

ANIMAL WELL
Shared: Puzzle · Exploration · Pixel Graphics

Carto
Shared: Indie · Puzzle · Exploration

Cat Goes Fishing
Shared: Indie · 2D · Exploration

Out There Somewhere
Shared: Indie · Puzzle · Pixel Graphics

The Talos Principle
Shared: Puzzle · Sci-fi · Exploration

Cosmoteer: Starship Architect & Commander
Shared: Indie · Sci-fi · 2D

VVVVVV
Shared: Indie · Pixel Graphics · 2D