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Unread item count on lock screen
iOS has a privacy problem. There are numerous options available for displaying incoming messages and notifications on the lock screen. For those dealing with particularly sensitive or personal work, it makes sense to display these items, but in a privacy-conscious way.
Apple could include an unread-count-only feature that would only display simply the number of unread emails, SMSes, missed phone calls, and suchlike in the lock screen, without displaying the first line of the message or the caller's name.
Location-aware sound profiles
Apple has seemingly taken a backseat on location services with its mobile platform, while rival mobile platform makers have taken full advantage of APIs and functionality. It would, for example, be very useful for business users to detect when they are in the office or read a calendar entry setting, and have the phone automatically switch into "silent" mode depending on where they are.
Location-aware wi-fi networking
On the topic of location-aware features, a feature that many would love to see is the ability for the iPhone or cellular-enabled iPad to switch on wi-fi networking if they are in certain places. Because wi-fi can't turn itself on, it would make sense for iOS' location features to detect when a user is in the office or at home, and switch on wi-fi to cut down on data bills. This geo-fence technology is already used in iOS' Reminders app, and should be expanded to other areas of the mobile platform.