Safari Omnibar. Goes without saying really. I'm glad that iOS is now at least defaulting to the address bar rather than the search bar when you make a new tab.
Custom Search URLs. I don't find Bing results to be useful at all (Yahoo uses Bing data) and I'd prefer not to be using Google, even though they still tend to give me the best results. I'd love it if I could add Ixquick or DuckDuckGo.
Quick Toggles for WiFi, Bluetooth, Mobile Data. Even if they don't want to put it in notification centre, put a toggle switch on the settings list as you have with AirPlane mode and Do Not Disturb. (but also let you select them if you tap anywhere but the toggle, the current way to access DND settings is a nuisance)
Clipboard Syncing—I'd love it if there was an option to have the clipboard sync between PC, Mac & iOS, as long as it kept some sort of history. I keep all my instant messaging on my iOS devices now, and trying to share a link or some text from the desktop is a real nuisance. Right now the easiest solution I've found is to use Safari's reading list for links, and pasting text into a document that's synced via Dropbox. Alternatively, releasing iMessage for Windows would also make things significantly easier. (love OS X, but I can't be at a Mac all day)
Full App Control. OK, maybe you don't want me to
delete the stock apps, but give me the option to disable things I don't want to see like notes/reminders (I have Byword, OmniFocus & OmniOutliner) and Newstand. It's now at the point where I have a separate folder
just for Apple's stock Apps that I don't use.
Update the YouTube App, or give us the option to remove it. The current YouTube App is really showing its age. I believe it's not even pulling down the full 1080p streams for videos yet, but it also doesn't have support for things like playlists, or viewing a user's page to see all of the content they have created. (videos, playlists etc.)
You can disable the YouTube app in Restrictions to force YouTube links to open in Safari, but that also stops YouTube videos playing on some websites, depending on how it was embedded.
Reply to messages anywhere via the notification centre. With iOS 6, we now have the ability to send messages directly from within other apps via the sharing menu now. Why not extend that functionality further, and let us simply respond to messages in this manner without leaving our previous app?
Home button takes you home. I don't want the home button to simply quit the running app and take me back to the home screen in its previous state on the last page it was at, with the last folder open. I want to press the home button and be on page 1 with everything closed. It would let you set up a quick-access page which only has apps on it without folders, and then move everything else onto other pages. That way you have 20 apps (and whatever is in the dock) that you have one-click access to, rather than having to press the home button, press it again to close the last open folder, press it a third time to go back to page 1, and then select the app you want.
Right now I've tried to keep it as simple as possible by keeping all my Apps on page 1, and Games on page 2, but that means I can only have a handful of quick-access apps and need to store everything else inside folders.
While it's not something
I would use, the option to have the home button take you directly to spotlight would be great too. I know a lot of people that have stopped bothering to sort their apps, and only ever launch them from spotlight now.
Display owner information on the lock screen. Something I've always liked about OS X is that you've been able to set up a message to be displayed on the log-in screen. I always have "This Mac is property of _____, if found, please contact me at _______"
While I believe you can do something like that with "Find my iPhone" it requires a web connection to be activated—not too useful for a WiFi iPad that has a passcode lock on it. Simply having a label there below the clock at all times would be a nice thing to have. (I realise you can sort-of do this by editing wallpaper images manually, but it's not the same)
1080p AirPlay Mirroring. I can dream, right? I assume this is probably a hardware limitation rather than a software one though.
Custom Autocorrect Dictionary. I'd love it if you could edit Apple's internal autocorrect dictionary. I've set up a lot of custom ones to fix many of the typographical errors in Apple's, and it's great that they're now going to sync across devices, but they only work some of the time. (note: I'm typing this post on a PC, so it's going to be full of them—Windows is a real nuisance for that)
For example, I have:
dont correct to
donʼt, rather than Apple's
don't.
This works, but if you type
donr by mistake, it corrects to the standard
don't, and trying to edit those mistakes is a nuisance with the touchscreen. (though I do like how the software keyboard makes typing special characters very easy now when you hold on a key)
Send notifications even when an App is "open". I don't know if this is the case with all apps, but a lot of the time I won't get a notification for new messages if I've left that App "open" on the screen and locked the device. I have to switch to another app, or go to the home screen before locking to get them.
Centralised document storage Just like we have a central location for photos that all apps can be granted access to, it would be
really nice to have a central location for documents as well. While you are only allowed to save new images to your camera roll rather than edit them (edits are stored as new images) documents would have to be granted write access as well. Having multiple copies of photos isn't nearly as big a problem as multiple copies of documents is.
That's all I can think of off the top of my head right now.
Oh, and the option to toggle between Google and Apple's maps. Just make it clear that Apple maps = navigation, 3D etc, and Google = Street View, public transport, good satellite imagery outside USA.
I'm all for Apple working on their own maps, and beta 2 certainly seems to be improving things, but I'd rather have the option of sticking with Google until they're ready where I live.