Games like Homebound
Games like Homebound include Webbed, Öoo, Braid, LIMBO, and Pikuniku. We matched them by the tags players give Homebound on Steam (2D Platformer, Puzzle Platformer, Puzzle, Platformer, and 2D): closest matches first, and among equally close ones the better-known games.

Webbed
Shared: 2D Platformer · Puzzle Platformer · Cute

Öoo
Shared: Puzzle Platformer · 2D Platformer · Puzzle

Braid
Shared: Puzzle Platformer · 2D Platformer · Puzzle

LIMBO
Shared: Puzzle Platformer · Puzzle · Platformer

Pikuniku
Shared: Puzzle · Cute · Indie

Portal 2
Shared: Puzzle · Platformer · Puzzle Platformer

Laughing to Die
Shared: Puzzle · 2D Platformer · Platformer

Pizza Tower
Shared: 2D Platformer · Platformer · Funny

Planet of Lana
Shared: Puzzle Platformer · 2D Platformer · Puzzle

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

Mind Over Magnet
Shared: Puzzle Platformer · Puzzle · 2D Platformer

KarmaZoo
Shared: 2D Platformer · Puzzle · Platformer

CATO: Buttered Cat
Shared: Puzzle Platformer · Puzzle · Cute

FEZ
Shared: Puzzle · Platformer · Puzzle Platformer

Defy Gravity Extended
Shared: Puzzle Platformer · Platformer · Puzzle

Celeste
Shared: 2D Platformer · Platformer · 2D

ElecHead
Shared: Puzzle Platformer · Puzzle · Platformer

PICO PARK
Shared: Puzzle Platformer · Cute · Platformer

Hue
Shared: Puzzle · Puzzle Platformer · Platformer

Toki Tori
Shared: Puzzle · Platformer · Cute

Blocks That Matter
Shared: Puzzle · Platformer · Puzzle Platformer

Squishy the Suicidal Pig
Shared: Puzzle · Puzzle Platformer · Platformer

Thank Goodness You're Here!
Shared: 2D Platformer · Funny · 2D

Moonleap
Shared: Puzzle Platformer · Puzzle · Platformer