Replacing the Genius tab on the App Store is a new tab called Near Me which shows apps that are popular and are being used heavily by other iOS users near your current location. And you can now build a Wish List . Only paid apps can be added to the list, which makes sense. Otherwise, why would you need to wish for someone to pay for a free app? And Apple has promised a Kids category coming for the App Store.
Lastly, Apple has changed the looks of the App Store Top Charts, going back to a vertically scrolling list from the left to right scrolling that Apple changed the list to last year.
New features for the Apple App Store in iOS 7