Games like Grooveyard
Games like Grooveyard include Baba Is You, Is This Seat Taken?, Zup! S, Patrick's Parabox, and Murders on the Yangtze River. We matched them by the tags players give Grooveyard on Steam (Puzzle, Difficult, Logic, Indie, and Cute): closest matches first, and among equally close ones the better-known games.

Baba Is You
Shared: Puzzle · Difficult · Indie

Is This Seat Taken?
Shared: Puzzle · Logic · Cute

Zup! S
Shared: Puzzle · Indie · 2D

Patrick's Parabox
Shared: Puzzle · Logic · Difficult

Murders on the Yangtze River
Shared: Puzzle · Indie · Mystery

Changed
Shared: Difficult · Puzzle · Cute

A Little to the Left
Shared: Puzzle · Cute · Cozy

OneShot
Shared: Indie · Puzzle · Cute

Celeste
Shared: Difficult · Indie · Cute

Unpacking
Shared: Cute · Puzzle · Indie

LYNE
Shared: Puzzle · Logic · Difficult

LIMBO
Shared: Puzzle · Indie · Puzzle Platformer

Void Stranger
Shared: Puzzle · Mystery · Indie

Firework
Shared: Puzzle · Indie · Mystery

Hexcells
Shared: Puzzle · Logic · Indie

Hexcells Infinite
Shared: Puzzle · Logic · Indie

FEZ
Shared: Puzzle · Indie · Mystery

LEGO® Builder's Journey
Shared: Indie · Cute · Puzzle

Strange Horticulture
Shared: Puzzle · Mystery · Cozy

Zup! X
Shared: Puzzle · Indie · 2D

Braid
Shared: Puzzle · Indie · Puzzle Platformer

The Last Campfire
Shared: Puzzle · Indie · Cute

Zup!
Shared: Puzzle · Indie · 2D

Return of the Obra Dinn
Shared: Puzzle · Mystery · Indie