1) Notifications. Still not good enough. Android's implementation is better. I like how there are icons in the upper lefthand corner to tell you what is going on, i.e. email, missed call, etc and how you can swipe them away to get rid of it (i.e. a missed call). It's also more elegant since control center and the notifciations bar are combined into one pull down menu. On the plus side, I do like how iOS 7 displays the information, i.e. weather, stocks, calendar, reminders. Although I think it would be better to use a graphical representation of the weather, i.e. how they show the weather now in the default app. I'm interested to see how iOS 8 will handle notifications.
2) Settings. I don't know really what to do with this- back in iOS 4 when there weren't so many settings, it made sense to unify all the settings into the settings app. Now as the settings get more complex and you can fine-tune apps to your liking, it is annoying to have to exit an app, go to settings, and adjust them. It would be better if each individual app had its own settings menu within the app. BUT... it is nice to be able to turn off a particulare feature, i.e. location settings for all the apps. It would be a pain to go through each individual app to turn them all off or on. So I don't know what to do with that.
3) Design. I like iOS 7. I like the flat design, it looks great. I think for the most part it is a success (except for the game center blobs). BUT... grid of icons are getting old. Something needs to change. Widgets anybody? I've used Android and are they necessary? For the most part, no. But it is nice to have your calendar on one homescreen and to quickly flip through the homescreens to get a quick view. It's nice to have the time and weather widget- it's purely cosmetic, but it mixes things up.
4) Stocks app. It would be nice if you could get dynamic quotes.
5) Sharing. In Android, whoo-boy, you get a huge list of ways of sharing a picture or news article. Incorporate more services.
6) Control Center. Should be more customizable, like the notifications bar. Like the bottom 4 apps? We should be able to change them. I don't like the positioning now since I'm always accidentally pulling up the menu and accidentally turning on bluetooth when I try to get rid of it. Maybe put a bit of a dead space on the top part of the menu? However I think that with a bigger screen, this could solve the problem.
7) Mail app. Why can't I delete a message with one button, swipe, etc? I like gmail's design on Android- by each message there is a brightly colored square with a letter of the email heading. Easier to visually see what is going on.
Overall, I like iOS 7- it's a big change, so I think iOS 8 will be a refinement of 7. I'm not expecting any HUGE changes. My theory is that iPhone 6, the hardware will get all the attention with a refinement of iOS 7. iOS 9 is when you'll see a huge change in software since the 6S is the same design.