Games like Escape This
Games like Escape This include INSIDE, Trine 2: Complete Story, Braid, The Pedestrian, and Planet of Lana. We matched them by the tags players give Escape This on Steam (2.5D, 2D Platformer, Strategy, Bullet Hell, and Puzzle Platformer): closest matches first, and among equally close ones the better-known games.

INSIDE
Shared: 2.5D · Puzzle Platformer · 2D Platformer

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

Braid
Shared: 2D Platformer · Puzzle Platformer · Puzzle

The Pedestrian
Shared: Puzzle Platformer · Puzzle · 2D Platformer

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

Trine Enchanted Edition
Shared: 2D Platformer · Puzzle Platformer · Strategy

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

FEZ
Shared: Puzzle · Platformer · Puzzle Platformer

Öoo
Shared: 2D Platformer · Puzzle Platformer · Puzzle

LIMBO
Shared: Puzzle Platformer · Puzzle · Platformer

Monument Valley 2
Shared: Strategy · Casual · Puzzle

Moonleap
Shared: Puzzle Platformer · Puzzle · Strategy

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

Brawlhalla
Shared: 2D Platformer · Casual · Platformer

Defy Gravity Extended
Shared: Puzzle Platformer · Puzzle · Platformer

KarmaZoo
Shared: 2D Platformer · Casual · Puzzle

Mini Motorways
Shared: Strategy · Casual · Puzzle

Portal 2
Shared: Puzzle · Platformer · Puzzle Platformer

FAR: Changing Tides
Shared: 2.5D · Puzzle Platformer · Puzzle

Webbed
Shared: 2D Platformer · Puzzle Platformer · Platformer

Monument Valley
Shared: Puzzle · Casual · Strategy

Munin
Shared: Puzzle Platformer · Puzzle · Casual

Drill Bird
Shared: 2D Platformer · Strategy · PvE

Terra Nil
Shared: Strategy · Puzzle · Casual