I just got a Note 4 after having an iPhone for 6 years. I had a 4, 5, and 6. I have ONLY had iphone smart phones up until now....so I can tell you my experience without being a 'fanboy' of either. Before I start, I DO like my Android. Now, if I had to summarize the feel of both phones, it would be like this:
iPhone: Hardware and software in solid sync with each other, carefully built together for a positive, effective user experience. Literally....like the slogan...it just works.
Android: Something that should still be in beta testing, with its devices.
That's how I feel about it. Honestly. Here are my gripes and likes about both.
iPhone Hate:
Lack of customization. There are precious few options for most things, but they are usually things that are merely a preference rather than a need.
Lack of battery that is easily changed
Having to use iTunes to get music on it
Having to buy a more expensive phone if I want more storage
Screen size (not really an issue any more)
Piss poor battery life
Iphone Love:
Airplay
Things work. When you select an option, it will work. Every time.
The device and software are tuned together, its smooth running, its efficient. I don't really recall 'rogue apps' with it.
Regular software updates pushed immediately to my phone.
Call quality
CAMERA...let's face the music folks....Android doesnt currently have a camera that is even remotely up to snuff or even in the same league as the iPhone camera....Ill even say my iphone 5 camera is better than any current offering on any android device. This was and is a HUGE deal.
SYNC AND BACKUP AND RECOVERY via itunes and cloud. Its seamless. Its easy. Android falls WAY short here.
Android Hate:
Apps/OS is buggy as all hell. It just is. Sometimes things work, sometimes they don't. Maybe a reboot of the phone is needed, but if not, there is probably a check box buried 432 pages deep somewhere or maybe developer options...did you check there? Oh you have to turn that on...go read up on google how to do that.
Software is a bit choppy....its pretty intense and clearly overloads the device hardware at times.
Lack of Airplay. You can use DLNA, and some apps have airplay, but it generally sucks balls.
Bluetooth is 'skippy'....its documented all over the internet. Sometimes its worse than others.
Syncing things on google, and making sure its only google and not on the device, or from the SD card is a huge giant pain in the ass
complete lack of any sort of organization or intuitive design for menus or where things go when you take a picture or download something....SD card? Device memory? A folder somewhere else? SURE....any of those...check them all!
Android Love:
Huge screen
Widgets...LOTS of them
Options out the ass for things....you want your stupid LED to be different colors for email or phone? No problem...apps all over for that.
Calendar....I like the way its laid out.
GOOGLE sync....this seems to work well....all contacts are synced up.
SD card storage....you want a billion GB of data for mp3 or porn or whatever...no problem....open the case, put it in....
While you have the case open you can also put in another battery.....or not...its your call. You have the option.
There are at least some cumbersome means of backing up your phone. It may require 4 different apps and methods, but its doable.
Camera...its OK. Slow. REAL slow.
NFC...transfer photos and vids really quickly.
Space...did I mentiond **** tons of space via SD card? Thats really awesome.
Nicer screen (more pixels, sharper) and I feel like my Note 4 performs better in direct bright sunlight than my old iphone.
When I click on a contact from my call log, the option to text is RIGHT THERE. I can also put the phone to my ear and it will dial. Its not a big deal, but its handy.
I like how my settings for my email are in my f-ing email app. Settings for the app are IN the app, not in a centralized location.
I honestly cannot say that there is anything my Note 4 won't do that my iPhone did. A lot of things are different, but they are still able to be accomplished. Some things like airplay just don't work well....thats an apple thing anyway so I can't fault them much. There are apps that work 'meh' for it. I prefer DLNA type apps for it though. Bluetooth stuttering during playback is irritating, but its not often that it does it.
Mostly, its just a different way of doing things and thinking about your OS. I find quite a few things that I like about my Android and a few that are really WTF moments. Likewise, there are a few things on iPhone that I liked better.
I still stand by my original statement that iPhone still feels like a refined piece of technology, though. But it should....perhaps the Nexus runs as well. All in all....would I go back to iPhone? Maybe. I would give it another look when the time comes, but I won't go running.
Edit: I have a note 4. It is android bases but not pure android because...Samsung. So some of my complaints may be due to that. That also highlights why android smokes apple in specs but apple smokes android in real life benchmarks.