Games like VICCP
Games like VICCP include Papers, Please, The Room, There Is No Game: Wrong Dimension, Stray, and That's not my Neighbor. We matched them by the tags players give VICCP on Steam (Simulation, Adventure, Indie, Casual, and Puzzle): closest matches first, and among equally close ones the better-known games.

Papers, Please
Shared: Simulation · Indie · Point & Click

The Room
Shared: Puzzle · Adventure · Point & Click

There Is No Game: Wrong Dimension
Shared: Indie · Adventure · Puzzle

Stray
Shared: Adventure · Puzzle · Cyberpunk

That's not my Neighbor
Shared: Adventure · Casual · Simulation

The Room Two
Shared: Puzzle · Point & Click · Adventure

Chants of Sennaar
Shared: Adventure · Puzzle · Indie

Gorogoa
Shared: Indie · Puzzle · Casual

The Room Three
Shared: Adventure · Puzzle · Indie

Cyber Manhunt
Shared: Simulation · Indie · Puzzle

Game Dev Tycoon
Shared: Simulation · Indie · Casual

Little Nightmares
Shared: Adventure · Indie · Puzzle

Rusty Lake Paradise
Shared: Indie · Adventure · Puzzle

Iris.Fall
Shared: Adventure · Indie · Casual

Fran Bow
Shared: Adventure · Point & Click · Puzzle

Samsara Room
Shared: Indie · Adventure · Puzzle

Morphopolis
Shared: Indie · Puzzle · Adventure

Sally Face - Episode One
Shared: Indie · Adventure · Puzzle

Little Nightmares II
Shared: Adventure · Puzzle · Horror

Uplink
Shared: Simulation · Indie · Hacking

The Room 4: Old Sins
Shared: Adventure · Puzzle · Point & Click

Moncage
Shared: Indie · Casual · Puzzle

LIMBO
Shared: Indie · Puzzle · Adventure

The Talos Principle
Shared: Puzzle · Sci-fi · Adventure