Games like Relumine
Games like Relumine include Monument Valley, Assemble with Care, Trine 2: Complete Story, Portal, and Donut County. We matched them by the tags players give Relumine on Steam (Casual, Puzzle, Puzzle Platformer, 3D, and Fantasy): closest matches first, and among equally close ones the better-known games.

Monument Valley
Shared: Puzzle · Casual · Singleplayer

Assemble with Care
Shared: Casual · Puzzle · Indie

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

Portal
Shared: Puzzle · Puzzle Platformer · Female Protagonist

Donut County
Shared: Casual · Puzzle · Indie

The Last Campfire
Shared: Puzzle · Singleplayer · Indie

Portal 2
Shared: Puzzle · Puzzle Platformer · Singleplayer

Defy Gravity Extended
Shared: Puzzle Platformer · Puzzle · Casual

Monument Valley 2
Shared: Casual · Puzzle · Puzzle Platformer

Planet of Lana
Shared: Puzzle Platformer · Puzzle · Female Protagonist

Sizeable
Shared: Casual · Puzzle · 3D

Moncage
Shared: Casual · Puzzle · Indie

The Gardens Between
Shared: Puzzle Platformer · Puzzle · 3D

Zup! F
Shared: Casual · Puzzle · Indie

Shady Part of Me
Shared: Puzzle · Female Protagonist · Indie

LIMBO
Shared: Puzzle Platformer · Puzzle · Indie

COCOON
Shared: Puzzle · Puzzle Platformer · 3D

Life Goes On: Done to Death
Shared: Puzzle · Fantasy · Puzzle Platformer

Scribblenauts Unlimited
Shared: Casual · Puzzle · Family Friendly

Trine Enchanted Edition
Shared: Puzzle Platformer · Fantasy · Family Friendly

Zup!
Shared: Casual · Puzzle · Indie

Mirror 2: Project X
Shared: 3D · Female Protagonist · Casual

Librarian: Tidy Up the Arcane Library!
Shared: Casual · Puzzle · Singleplayer

Camper Van: Make it Home
Shared: Casual · Puzzle · Family Friendly