Games like Amazeballs!
Games like Amazeballs! include Zup! S, Hook, Zup!, klocki, and Hexcells. We matched them by the tags players give Amazeballs! on Steam (Casual, Puzzle, Relaxing, Singleplayer, and 2D): closest matches first, and among equally close ones the better-known games.

Zup! S
Shared: Casual · Puzzle · 2D

Hook
Shared: Casual · Puzzle · Relaxing

Zup!
Shared: Casual · Puzzle · 2D

klocki
Shared: Puzzle · Casual · Relaxing

Hexcells
Shared: Casual · Puzzle · Singleplayer

Zup! F
Shared: Casual · Puzzle · 2D

Zup! 2
Shared: Casual · Puzzle · 2D

Mini Metro
Shared: Puzzle · Minimalist · Casual

Mini Motorways
Shared: Casual · Puzzle · Minimalist

Zup! X
Shared: Casual · Puzzle · 2D

Zup! 3
Shared: Casual · Puzzle · 2D

Hexcells Infinite
Shared: Casual · Puzzle · Relaxing

Zenge
Shared: Puzzle · Casual · Relaxing

Hidden Folks
Shared: Casual · Puzzle · Relaxing

Zup! 8
Shared: Casual · Puzzle · 2D

Zup! Z
Shared: Puzzle · Casual · 2D

Glass Masquerade
Shared: Puzzle · Casual · Relaxing

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

Baba Is You
Shared: Puzzle · Singleplayer · Indie

Unpacking
Shared: Casual · Relaxing · Puzzle

Sizeable
Shared: Casual · Puzzle · Relaxing

Zup! 5
Shared: Casual · Puzzle · 2D

ISLANDERS
Shared: Relaxing · Puzzle · Singleplayer

Strange Jigsaws
Shared: Casual · Puzzle · 2D