Games like Invercity
Games like Invercity include Portal 2, Planet of Lana, Trine 2: Complete Story, Portal, and Webbed. We matched them by the tags players give Invercity on Steam (Puzzle Platformer, Sokoban, 2D Platformer, Puzzle, and Action-Adventure): closest matches first, and among equally close ones the better-known games.

Portal 2
Shared: Puzzle · Puzzle Platformer · Dark Humor

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

Trine 2: Complete Story
Shared: Puzzle Platformer · 2D Platformer · Action-Adventure

Portal
Shared: Puzzle Platformer · Puzzle · Female Protagonist

Webbed
Shared: 2D Platformer · Puzzle Platformer · Cute

Trine Enchanted Edition
Shared: Puzzle Platformer · 2D Platformer · Action-Adventure

Öoo
Shared: Puzzle Platformer · 2D Platformer · Puzzle

INSIDE
Shared: Puzzle Platformer · 2.5D · Puzzle

Braid
Shared: Puzzle Platformer · 2D Platformer · Puzzle

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

ANTONBLAST
Shared: 2D Platformer · 2D · Puzzle Platformer

Defy Gravity Extended
Shared: Puzzle Platformer · Puzzle · 2D

The Plucky Squire
Shared: Puzzle Platformer · 2D Platformer · Action-Adventure

Celeste
Shared: 2D Platformer · Female Protagonist · 2D

LIMBO
Shared: Puzzle Platformer · Puzzle · 2D

Mina the Hollower
Shared: Action-Adventure · 2D Platformer · Female Protagonist

Human Fall Flat
Shared: Puzzle · Puzzle Platformer · Funny

Baba Is You
Shared: Puzzle · Sokoban · Cute

Darwin's Paradox!
Shared: Action-Adventure · Puzzle Platformer · Puzzle

PICO PARK
Shared: Puzzle Platformer · Puzzle · Cute

FAR: Changing Tides
Shared: Puzzle Platformer · Action-Adventure · 2.5D

Pikuniku
Shared: Puzzle · Cute · Indie

Trine 3: The Artifacts of Power
Shared: Puzzle Platformer · Action-Adventure · Puzzle

Pepper Grinder
Shared: 2D Platformer · Action-Adventure · Female Protagonist