Apple released its free app "12 Days of Gifts" (previously called "iTunes - 12 Days of Christmas) today. As in previous years the app offers a gift each day from December 26 to January 6. It is also available in the U.S. Store for the first time, but the content may be different depending on the country, and it requires iOS 7. Here's the official app description:
"From December 26 to January 6, you can download a gift each day—songs, apps, books, movies, and more—with the 12 Days of Gifts app. Each day's gift will only be available for 24 hours, so download the free app to make sure you don’t miss out. Note: Not all content is available in all countries."
When opening the app for the first time it asks you for your permission to send push notifications and the country where your iTunes Store Apple ID is registered. For now the app only shows you a countdown of days until the 26th on an animated dynamic wallpaper, an info button with FAQ, and a share sheet that also includes "Add to Calendar" which prepares an All-day Event from December 26 to January 6.
Here's the link to the app.