Games like Moxie
Games like Moxie include FEZ, Monument Valley 2, Braid, Webbed, and Trine 2: Complete Story. We matched them by the tags players give Moxie on Steam (Casual, Platformer, Point & Click, Visual Novel, and Video Production): closest matches first, and among equally close ones the better-known games.

FEZ
Shared: Platformer · Puzzle · Casual

Monument Valley 2
Shared: Casual · Point & Click · Puzzle

Braid
Shared: Platformer · Puzzle · Puzzle Platformer

Webbed
Shared: 2D Platformer · Platformer · Puzzle Platformer

Trine 2: Complete Story
Shared: Platformer · Puzzle Platformer · Puzzle

Hidden Folks
Shared: Casual · Point & Click · Puzzle

LIMBO
Shared: Platformer · Puzzle · Puzzle Platformer

Öoo
Shared: Puzzle · Platformer · Puzzle Platformer

Laughing to Die
Shared: Casual · Platformer · Puzzle

Zup! X
Shared: Casual · Puzzle · Point & Click

Defy Gravity Extended
Shared: Platformer · Puzzle · Puzzle Platformer

Zup!
Shared: Casual · Puzzle · Point & Click

Leap Year
Shared: Platformer · 2D Platformer · Puzzle

Hidden Through Time
Shared: Casual · Point & Click · Puzzle

Celeste
Shared: Platformer · 2D Platformer · Precision Platformer

Zup! F
Shared: Casual · Puzzle · Point & Click

ANIMAL WELL
Shared: Platformer · Puzzle · Exploration

Zup! 2
Shared: Casual · Puzzle · Point & Click

Evan's Remains
Shared: Casual · Visual Novel · Platformer

There Is No Game: Wrong Dimension
Shared: Point & Click · Puzzle · Casual

Monument Valley
Shared: Casual · Puzzle · Design & Illustration

Morphopolis
Shared: Casual · Point & Click · Puzzle

Pikuniku
Shared: Casual · Puzzle · Platformer

Zup! 3
Shared: Casual · Puzzle · Point & Click