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Custom domain search in Spotlight
iOS' search engine Spotlight is currently limited to searching the device, the web, and Wikipedia. The latter two are near pointless for users who need to search their corporate domain — such as SharePoint, Google Sites, Google Docs, or any other search-enabled service within the firewall. It would make sense for those hooked up to a business or enterprise network to be able to quickly search custom domains for the content they need quick access to.
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.