Games like Kitty Rush
Games like Kitty Rush include Webbed, Öoo, Planet of Lana, Celeste, and CATO: Buttered Cat. We matched them by the tags players give Kitty Rush on Steam (2D Platformer, Puzzle Platformer, Perma Death, Puzzle, and Interactive Fiction): 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

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

Celeste
Shared: 2D Platformer · Platformer · Female Protagonist

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

Braid
Shared: Puzzle Platformer · 2D Platformer · Puzzle

LIMBO
Shared: Puzzle Platformer · Puzzle · Platformer

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

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

Defy Gravity Extended
Shared: Puzzle Platformer · Puzzle · Platformer

Portal 2
Shared: Puzzle · Platformer · Puzzle Platformer

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

Neva
Shared: Platformer · Puzzle · 2D Platformer

FEZ
Shared: Puzzle · Platformer · Puzzle Platformer

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

ElecHead
Shared: Puzzle Platformer · Puzzle · Platformer

ANIMAL WELL
Shared: Puzzle · Puzzle Platformer · Platformer

Munin
Shared: Puzzle Platformer · Puzzle · 2D Platformer

Moonleap
Shared: Puzzle Platformer · Puzzle · Platformer

Creepy Tale
Shared: Puzzle Platformer · 2D Platformer · Puzzle

Hue
Shared: Puzzle Platformer · Puzzle · Platformer

Pikuniku
Shared: Puzzle · Cute · Indie

GRIS
Shared: Platformer · Female Protagonist · Puzzle

Spelunky 2
Shared: 2D Platformer · Platformer · Perma Death