Games like Wizard
Games like Wizard include ANIMAL WELL, Momodora: Reverie Under The Moonlight, Word Game, Bloodstained: Ritual of the Night, and SANABI. We matched them by the tags players give Wizard on Steam (Exploration, Side Scroller, Choose Your Own Adventure, 2D Platformer, and Puzzle): closest matches first, and among equally close ones the better-known games.

ANIMAL WELL
Shared: Exploration · Puzzle · Platformer

Momodora: Reverie Under The Moonlight
Shared: Side Scroller · 2D Platformer · Exploration

Word Game
Shared: Exploration · Choose Your Own Adventure · Puzzle

Bloodstained: Ritual of the Night
Shared: Side Scroller · RPG · Platformer

SANABI
Shared: 2D Platformer · Story Rich · Action

Breakout 13
Shared: Exploration · Choose Your Own Adventure · Interactive Fiction

Webbed
Shared: 2D Platformer · Exploration · Platformer

Timespinner
Shared: Side Scroller · Exploration · 2D Platformer

Ib
Shared: Exploration · Choose Your Own Adventure · Puzzle

Öoo
Shared: Exploration · 2D Platformer · Puzzle

Knock-knock
Shared: Side Scroller · 2D Platformer · Puzzle

Hollow Knight
Shared: Platformer · Exploration · 2D

Ori and the Will of the Wisps
Shared: Platformer · Exploration · Puzzle

Touhou Luna Nights
Shared: Side Scroller · Exploration · Platformer

Afterimage
Shared: 2D Platformer · Side Scroller · Exploration

Prince of Persia The Lost Crown
Shared: Exploration · 2D Platformer · Side Scroller

Turnip Boy Commits Tax Evasion
Shared: Exploration · Puzzle · RPG

FEZ
Shared: Exploration · Puzzle · Platformer

Leap Year
Shared: Exploration · 2D Platformer · Puzzle

WILL: A Wonderful World / WILL:美好世界
Shared: Exploration · Puzzle · RPG

Crimson Desert Enhanced
Shared: Exploration · Choose Your Own Adventure · RPG

Dust: An Elysian Tail
Shared: Platformer · RPG · Exploration

Hogwarts Legacy
Shared: Exploration · RPG · Adventure

Killer Frequency
Shared: Puzzle · Interactive Fiction · Exploration