Games like Puzzle Moments
Games like Puzzle Moments include Kingdom Rush - Tower Defense, CHUCHEL, That's not my Neighbor, Shelldiver, and Plants vs. Zombies GOTY Edition. We matched them by the tags players give Puzzle Moments on Steam (Casual, Point & Click, 2D Platformer, 2D, and Emotional): closest matches first, and among equally close ones the better-known games.

Kingdom Rush - Tower Defense
Shared: 2D · Casual · Tactical

CHUCHEL
Shared: Casual · Point & Click · 2D

That's not my Neighbor
Shared: Casual · Point & Click · 2D

Shelldiver
Shared: Casual · Incremental · 2D

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

Samorost 1
Shared: Point & Click · Casual · 2D

Machinarium
Shared: Point & Click · 2D · Casual

Organized Inside
Shared: Casual · Point & Click · 2D

Impostor Factory
Shared: Emotional · 2D · Singleplayer

PeeWee Purpdrank's FOENEM Clicker
Shared: Casual · Point & Click · 2D

To The Core
Shared: Casual · 2D · Incremental

There Is No Game: Wrong Dimension
Shared: Point & Click · Casual · 2D

A Little to the Left
Shared: Casual · Point & Click · Singleplayer

Storyteller
Shared: Point & Click · 2D · Casual

Poop Clicker
Shared: Casual · Point & Click · 2D Platformer

Click the Button
Shared: Casual · Point & Click · Incremental

Kingdom Rush Origins - Tower Defense
Shared: 2D · Casual · Singleplayer

Cookie Clicker
Shared: Casual · Incremental · 2D

Hidden Folks
Shared: Casual · Point & Click · 2D

Game Dev Tycoon
Shared: Casual · 2D · Singleplayer

Until Then
Shared: Emotional · 2D · Casual

Papers, Please
Shared: Point & Click · Singleplayer · 2D

Gorogoa
Shared: Casual · Point & Click · Singleplayer

DISTRAINT 2
Shared: Point & Click · 2D · Singleplayer