Some things I've noticed that I prefer on iOS versus Android:
-Restores: I think this might be what the poster above was getting at. With a new iPhone or iOS device, I simply remove from the box and restore from backup. Doesn't take long depending on your internet speed and you can pick up right where you left off with all the same apps and organization. Android doesn't offer anything near this natively. Sure, your data is backed up - but when setting up a new device one must reorganize the device, add all accounts you were previously signed into and install various apps that may or may not automatically install.
-Email: Man am I fed up with Android email. I have problems setting up my iCloud emails on a regular basis, no conversation/thread view and the reply window is messy and cluttered. As with anything, there are alternatives to use...and I've tried plenty. None is as good as iOS mail in my opinion.
-Messaging: Hangouts is, so far, a good attempt at merging the various messaging apps Android once had, but its far from perfect or on iMessage's level. I still regularly have problems with MMS, I'll send an MMS so I can send to a group at the same time, but then I'll get responses back in multiple different threads (I'm assuming because they aren't using Hangouts). Again, I get there are alternatives - but here that would require getting those I communicate with to sign up for various messaging accounts. iMessage just works - either via free wifi messaging if the user is on an iPhone, or via SMS/MMS if not. Its all seamless - all the same thread. And iOS 8 is further enhancing an app this is already ahead of Android.
-Notifications: I usually get killed on this one because the iPhone doesn't have a notification light. But iPhone notifications and the notification center are much better than Android IMO. I get lock screen notifications and have control over what I see so I can quickly glance at my lock screen to see what's come in. The notification center provides additional at-a-glance information that is out of the way but there with a simple swipe down when I need it (even from the lock screen). Banner notifications are far more informative than small icons and while somewhat more intrusive, they don't bother me much. I do think they could cut down on the amount of black space around the notification.
-Consistency of Design: I know most probably don't care, but I hate that Android app icons are all different sizes. It looks cluttered and some are low res (still...in 2014). Apple's design language is consistent throughout the OS whether you're in an app or in the settings menu. Developers seem to be much quicker to adopt new changes in design language on the Apple side, though I'm hopeful Google will start to push with Android L.
-Apps: I know, I know. This isn't anywhere NEAR as big a gap as it used to be. There are tons of great Android apps and nearly every single major app is the same quality on Android as it is on Apple. That being said, there is still more work to do here. Apple apps are, on the whole, more up-to-date, more sophisticated and in the tablet arena far more useful.
-Siri: Google Now just got some updates, so this thinking may be a little out of date. I use Siri all the time for reminders and task setting, various info and in iOS 8 she'll figure out what song I'm listening to. Siri has been more robust than Google now as far a personal assistant, though GN has closed the gap. I still like the results Siri shows directly in her interface versus showing me Google results (which she'll do if she has to). But GN also has its advantages like reading my emails and alerting me of packages and plane tickets and such. All-in-all I still prefer Siri, but GN is a good option in its own right.
-Passbook: Others may not use this, but I do a ton. I travel alot and drink a lot of Starbucks so having my boarding passes, hotel/airlines loyalty cards and Starbucks card readily available on my lock screen exactly when I need it is great. I'm looking forward to more integration and am still perplexed certain companies haven't jumped on this from a loyalty card standpoint *cough* Best Buy *cough*.
That's all for now. I will say I've grown more and more fond of the larger display since returning to a Nexus 5 and really can't wait for Apple to get with the program there in offering options. I'm also psyched about the ability to choose a 3rd party keyboard (namely Swype) and improved sharing across various apps. These are things that I prefer about Android, but iOS 8 seems to be hitting all my boxes as far as wants go. The Android L preview has shown me some good things, but I think its just not far enough along for me to pass judgement. I'm hoping there's more they will add and look forward to diving into it when its released.
Hope this was educational for everyone.