Games like Splat Cat
Games like Splat Cat include Braid, LIMBO, Laughing to Die, Trine 2: Complete Story, and Planet of Lana. We matched them by the tags players give Splat Cat on Steam (Casual, Platformer, Puzzle, 2D Platformer, and Puzzle Platformer): closest matches first, and among equally close ones the better-known games.

Braid
Shared: Puzzle · Puzzle Platformer · 2D Platformer

LIMBO
Shared: Puzzle · Platformer · Puzzle Platformer

Laughing to Die
Shared: Casual · Puzzle · Platformer

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

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

Webbed
Shared: 2D Platformer · Puzzle Platformer · Platformer

FEZ
Shared: Platformer · Puzzle · Casual

KarmaZoo
Shared: Casual · Platformer · Puzzle

Defy Gravity Extended
Shared: Platformer · Puzzle Platformer · Puzzle

Creaks
Shared: Puzzle · Puzzle Platformer · 2D

Portal 2
Shared: Platformer · Puzzle · Singleplayer

GRIS
Shared: Platformer · Singleplayer · 2D

Gorogoa
Shared: Puzzle · Casual · Singleplayer

Toki Tori
Shared: Casual · Puzzle · Platformer

Hue
Shared: Puzzle · Platformer · Puzzle Platformer

Pizza Tower
Shared: 2D Platformer · Platformer · Cartoony

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

Cuphead
Shared: Platformer · Cartoon · 2D

Pikuniku
Shared: Casual · Puzzle · Platformer

CHUCHEL
Shared: Casual · Cartoon · 2D

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

Nihilumbra
Shared: Platformer · Casual · Puzzle

Celeste
Shared: Platformer · 2D Platformer · Singleplayer

Munin
Shared: Casual · Puzzle · Puzzle Platformer