Games like Heatris
Games like Heatris include Zup! S, Zup!, Root, Mini Metro, and Zup! 3. We matched them by the tags players give Heatris on Steam (Strategy, Precision Platformer, Puzzle, Puzzle Platformer, and Board Game): closest matches first, and among equally close ones the better-known games.

Zup! S
Shared: Puzzle · 2D · Strategy

Zup!
Shared: Puzzle · 2D · Puzzle Platformer

Root
Shared: Strategy · Board Game · Tabletop

Mini Metro
Shared: Strategy · Puzzle · Minimalist

Zup! 3
Shared: Puzzle · 2D · Puzzle Platformer

LIMBO
Shared: Puzzle Platformer · Puzzle · 2D

Moonleap
Shared: Puzzle · Puzzle Platformer · Strategy

Bridge Constructor Portal
Shared: Strategy · Puzzle · 2D

Baba Is You
Shared: Puzzle · Cute · 2D

Plants vs. Zombies GOTY Edition
Shared: Strategy · 2D · Puzzle

Hitman GO: Definitive Edition
Shared: Strategy · Puzzle · Board Game

Zuma Deluxe
Shared: Puzzle · Strategy · 2D

Zup! 2
Shared: Puzzle · 2D · Puzzle Platformer

Portal
Shared: Puzzle · Puzzle Platformer · Singleplayer

Zup! F
Shared: Puzzle · 2D · Puzzle Platformer

Dorfromantik
Shared: Puzzle · Strategy · Board Game

Zup! 7
Shared: Puzzle · 2D · Puzzle Platformer

Clue/Cluedo: Classic Edition
Shared: Strategy · Board Game · Tabletop

Zup! X
Shared: Puzzle · 2D · Puzzle Platformer

Öoo
Shared: Puzzle Platformer · Puzzle · 2D

The Bridge
Shared: Puzzle Platformer · Puzzle · 2D

Gremlins, Inc.
Shared: Strategy · Board Game · Tabletop

Richman10
Shared: Strategy · Tabletop · Board Game

Patrick's Parabox
Shared: Puzzle · Strategy · 2D