Games like The Button Game
Games like The Button Game include Banana, Click the Button, Berry Bury Berry, Cookie Clicker, and Boxes: Lost Fragments. We matched them by the tags players give The Button Game on Steam (Casual, Incremental, Point & Click, Linear, and Singleplayer): closest matches first, and among equally close ones the better-known games.

Banana
Shared: Incremental · Casual · Singleplayer

Click the Button
Shared: Casual · Incremental · Indie

Berry Bury Berry
Shared: Incremental · 3D · Casual

Cookie Clicker
Shared: Incremental · Casual · Indie

Boxes: Lost Fragments
Shared: Point & Click · Casual · 3D

That's not my Neighbor
Shared: Casual · Point & Click · Indie

Leaf it Alone
Shared: Incremental · Casual · Singleplayer

Keep on Mining!
Shared: Incremental · Casual · Singleplayer

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

There Is No Game: Wrong Dimension
Shared: Point & Click · Indie · Casual

Moncage
Shared: Casual · Singleplayer · Indie

Insaniquarium Deluxe
Shared: Casual · Incremental · Singleplayer

SPACEPLAN
Shared: Casual · Incremental · Indie

Gorogoa
Shared: Casual · Singleplayer · Indie

Coin Flipper
Shared: Incremental · Casual · Point & Click

To The Core
Shared: Casual · Incremental · Indie

Game Dev Tycoon
Shared: Casual · Indie · Singleplayer

The Room
Shared: Point & Click · Singleplayer · Indie

A Game About Feeding A Black Hole
Shared: Casual · Incremental · Indie

Timberman
Shared: Casual · Indie · Singleplayer

Hidden Folks
Shared: Casual · Point & Click · Indie

Monument Valley
Shared: Casual · Singleplayer · Point & Click

Bills Must Be Paid
Shared: Incremental · Casual · Indie

Please, Don’t Touch Anything
Shared: Point & Click · Indie · Casual