Games like ESCAPEAWAY!
Games like ESCAPEAWAY! include Super Meat Boy, Celeste, Downwell, SANABI, and Broforce. We matched them by the tags players give ESCAPEAWAY! on Steam (Action, Arcade, Platformer, 2D Platformer, and Precision Platformer): closest matches first, and among equally close ones the better-known games.

Super Meat Boy
Shared: Platformer · Precision Platformer · 2D Platformer

Celeste
Shared: Precision Platformer · Platformer · 2D Platformer

Downwell
Shared: Precision Platformer · Platformer · Arcade

SANABI
Shared: Action · 2D Platformer · Pixel Graphics

Broforce
Shared: Action · Platformer · Pixel Graphics

Katana ZERO
Shared: Action · Platformer · 2D Platformer

VVVVVV
Shared: Platformer · Precision Platformer · 2D Platformer

Gravity Circuit
Shared: Action · Platformer · Indie

Shovel Knight: Treasure Trove
Shared: Platformer · Action · Indie

Rogue Legacy 2
Shared: Arcade · Action · Platformer

Skul: The Hero Slayer
Shared: Action · Indie · Platformer

Huntdown
Shared: Action · Side Scroller · Pixel Graphics

Brawlhalla
Shared: Free to Play · 2D Platformer · Platformer

UFO 50
Shared: Action · Arcade · Indie

Pizza Tower
Shared: 2D Platformer · Platformer · Indie

Rogue Legacy
Shared: Platformer · Action · Indie

NINJA GAIDEN: Ragebound
Shared: Action · Platformer · 2D Platformer

Geometry Dash
Shared: Precision Platformer · Platformer · 2D

The Messenger
Shared: Platformer · Action · 2D Platformer

Ambidextro
Shared: Action · Precision Platformer · 2D Platformer

Annalynn
Shared: Action · Arcade · Platformer

Jump King
Shared: Precision Platformer · Platformer · Action

Bloodstained: Curse of the Moon
Shared: Action · Platformer · Pixel Graphics

Sonic Origins
Shared: Action · 2D Platformer · Platformer