I'm still hiding the stocks app in a folder? In iOS 6!
Same am I. It has found a home in a folder labelled "ignore", where it rests away from my eyes, and next to the compass, Apple maps, passbook and default mail application. So yes, I'd highly value the ability to remove default apps, especially in the face of the countless (and superior) third-party offerings out there, and the undoubtedly many more by the time iOS 7 hits.
That aside, I wouldn't mind a UI refresh, and if not that, then I'd like them to allow third-party UI tweaks, of the kind you currently need to jailbreak to get. I don't care if Windows looks horrid out of the box, there's always WinCustomize. If Apple allowed for customization, or the use of two or more distinct looking springboards one can switch between, I'd be a happy camper, and wouldn't so much mind the fact that Apple themselves aren't re-designing their UI. It's good enough for most, anyway. Just let those who want tweak it in a way already possible on Android.
I'd love some 'smart icons' type thing, where a long press to an icon (or some similar gesture) opens a quick action menu for certain applications, like for example for the music player, pressing it would bring up a "mini player" one could quickly use to skip / repeat etc. songs, without having to open the full applications. That in conjunction with "mini app" versions that may be launched and operated from the lockscreen, and I'd be in heaven.
Last but not least, I'd like to see some kind of evolved form of widgets.