Games like Connected! 2
Games like Connected! 2 include LYNE, Hook, Patrick's Parabox, Strange Jigsaws, and Zup! S. We matched them by the tags players give Connected! 2 on Steam (Logic, Casual, Puzzle, Minimalist, and 2D): closest matches first, and among equally close ones the better-known games.

LYNE
Shared: Logic · Puzzle · Minimalist

Hook
Shared: Casual · Puzzle · Minimalist

Patrick's Parabox
Shared: Logic · Puzzle · Minimalist

Strange Jigsaws
Shared: Casual · Puzzle · Logic

Zup! S
Shared: Casual · Puzzle · 2D

Hexcells
Shared: Casual · Puzzle · Logic

klocki
Shared: Casual · Puzzle · Minimalist

Hexcells Infinite
Shared: Casual · Logic · Puzzle

14 Minesweeper Variants
Shared: Logic · Puzzle · Minimalist

Baba Is You
Shared: Puzzle · Logic · Singleplayer

Understand
Shared: Logic · Minimalist · Puzzle

Linelith
Shared: Casual · Puzzle · 2D

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

Hexcells Plus
Shared: Puzzle · Casual · Logic

SquareCells
Shared: Puzzle · Casual · Logic

Zup! X
Shared: Casual · Puzzle · 2D

Mini Metro
Shared: Puzzle · Minimalist · Casual

Zup! 4
Shared: Casual · Puzzle · 2D

Zup!
Shared: Casual · Puzzle · 2D

Zup! 2
Shared: Casual · Puzzle · 2D

Zup! F
Shared: Casual · Puzzle · 2D

14 Minesweeper Variants 2
Shared: Casual · Puzzle · Logic

Zup! 3
Shared: Casual · Puzzle · 2D

Dorfromantik
Shared: Puzzle · Casual · Minimalist