Game Center has a notification window that slides down and informs the GKLocalPlayer that they've been authenticated. The GKAchievementNotification classes are a way to display achievements awarded to the player in the same manner; more similar to Xbox Live style achievement popups. The achievement dialogs are added to the UIWindow view of your application.
Add the folder (.h, .m, images) to your Xcode project. The GKAchievementHandler class handles the display of the notifications. You'll primarily use that (there'd usually be no reason to create a notification directly). When your player earns an achievement, you can notify them of this via GKAchievementHandler:
// grab an achievement description from where ever you saved them GKAchievementDescription *achievement = [[GKAchievementDescription alloc] init]; // notify the user [[GKAchievementHandler defaultHandler] notifyAchievement:achievement];
You can also use custom messages instead of a GKAchievementDescription object:
[[GKAchievementHandler defaultHandler] notifyAchievementTitle:@"High Roller" andMessage:@"Earned 100 points online."];
Apples Guidelines state that "it is up to you to do so in a way that fits the style of your game". and Allan Schaffer of Apple stated in the forums that "[the] best way to do that would be to present a custom dialog using the look and feel of your game." This to me means you may be rejected for using Apple's artwork in a custom application. If this worries you, use the setImage: methods to change the logo displayed in the dialog or change the gk-icon.png images in your images. You can also set the image to nil to not show any image:
[[GKAchievementHandler defaultHandler] setImage:nil];
You can also edit the gk-notification.png images to change the stretchable background.