Getting games in Game Center on your Mac couldn’t be easier, and there are actually a few ways you can do it. As soon as you launch the Game Center application you will be greeted with game suggestions on the left and right side.
If you choose to click on any of these icons, you will be taken directly to the Mac App Store where you can read more information about the game, user reviews, and download the game.
The other option is to click on the “Games” tab, once you have signed in. You will get the list of all Game Center compatible games that are installed on your Mac, as well as some game recommendations. If you want to search even more games that you can download for free or buy, click on the “Find Game Center Games” button, which will take you to the Mac App Store, and list Game Center compatible games.
Finally, you can also discover new games by visiting your friends profiles and seeing what they play.