Games like Abridge
Games like Abridge include Patrick's Parabox, Baba Is You, LYNE, Hook, and Zup! S. We matched them by the tags players give Abridge on Steam (Sokoban, Difficult, Puzzle, Singleplayer, and Casual): closest matches first, and among equally close ones the better-known games.

Patrick's Parabox
Shared: Sokoban · Puzzle · Singleplayer

Baba Is You
Shared: Puzzle · Difficult · Singleplayer

LYNE
Shared: Puzzle · Difficult · Logic

Hook
Shared: Puzzle · Casual · Abstract

Zup! S
Shared: Puzzle · Casual · Singleplayer

Hexcells
Shared: Puzzle · Casual · Singleplayer

Strange Jigsaws
Shared: Puzzle · Casual · Abstract

Hexcells Infinite
Shared: Puzzle · Casual · Logic

klocki
Shared: Puzzle · Casual · Singleplayer

Hexcells Plus
Shared: Puzzle · Casual · Singleplayer

Is This Seat Taken?
Shared: Puzzle · Casual · Logic

Yugo Puzzle
Shared: Puzzle · Difficult · Sokoban

Linelith
Shared: Puzzle · Casual · Sokoban

Maxwell's puzzling demon
Shared: Sokoban · Puzzle · Difficult

Mini Metro
Shared: Puzzle · Singleplayer · Minimalist

14 Minesweeper Variants
Shared: Puzzle · Difficult · Logic

Geometry Dash
Shared: Difficult · Singleplayer · 2D

Sokobond
Shared: Sokoban · Difficult · Puzzle

Wayout
Shared: Puzzle · Difficult · Singleplayer

qop 2
Shared: Puzzle · Casual · Singleplayer

A Little to the Left
Shared: Puzzle · Casual · Singleplayer

A Dance of Fire and Ice
Shared: Difficult · Singleplayer · 2D

SOK
Shared: Puzzle · Sokoban · Casual

Hexologic
Shared: Puzzle · Sokoban · Logic