Android might be on majority of smartphones right now, but even hardcore Android users will agree that there are somethings that Apple's iOS does better than the competitor.
Backup and restore
Apple's iCloud backup and restore works exactly as it should and almost flawlessly. If you got a new iOS device or did a factory reset, with iCloud backup and restore, even application data is synced and you don't have to worry about starting over again.
This is where Android's backup and restore feature fails miserably. I have tried to restore my device several times and every time lot of apps didn't install back and most of the app data is lost and you have to restore half of the things manually. Therefore, I always think twice before resting my device for any reason. It is just not as painless as iCloud backup. We can at least expect Google to make the process totally seamless where I can just log in to my Google Account and the phone reverts back to it's previous state.
Apple launched its rival to Google Wallet last year with massive partner support. Even though payment using NFC is nothing new and Google Wallet has been in the field since 2 years, lot of carrier restriction and failure to lure in lot of partners didn't see the technology really soar. However, Apple has made the right use of its influence and has roped in all major businesses to partner with them and allow Apple Pay as a payment method for their customers. This could in fact allow apple to crack the adoption rate that Google had failed to do.
Apple Pay is also simpler to use due to the presence of fingerprint reader. You can just tap on the NFC terminal with your finger on the finger prints reader. You will hear a beep and vibration once the transaction completes. On the other hand, for Google Wallet you need to wake up your device, unlock it, tap on the NFC, enter the Google Wallet PIN and then wait for the transaction to complete.
With Google's ecosystem much larger than Apple's, it could have made better efforts at making mobile payments a success with Google Wallet.
It is true that at one point of time Apple had mentioned that it was never going to make bigger phones like its rival Samsung and all other Android manufacturers were doing. Primarily due to the fact that it compromises usability and make one hand operation difficult. However, with the launch of iPhone 6 and iPhone 6 plus, it went against its own words. That doesn't mean that Apple didn't keep in mind the usability factor. It introduced "Reachability mode" which makes one handed operation simpler even on the large screen. By double tapping on the home button you could make the entire top UI elements come down to your thumb level.
Some Android manufacturers like Samsung have similar features built into their custom UI, but this is one feature that is missing from vanilla Android especially when the latest Nexus 6 has a 5.95 inch display.
Continuity remains unrivalled
We use multiple devices daily for carrying out our tasks under different situations. It makes things simpler if we could just seamlessly work from one device to another. Apple's continuity feature tries to do exactly that. You could start typing the email on your MacBook right from where you left on your iPhone. You can even answer calls from any Apple device connected to the wifi network or reply to texts. With Handoff you can move any activity you were doing from one apple device to other. AirDrop also makes sharing files between devices really hassle free.
Even though all the apps under Google's cloud ecosystem gets synced it is not as seamless as continuity. You can definitely not take calls on your laptop or reply to texts without third party apps and even then they do not work perfectly.
One hardware specification where no Android manufacture has been able to beat Apple will be biometrics. The fingerprint sensor on the Apple devices just work flawlessly. Even though HTC and Samsung have tried to have fingerprint sensor on their flagship devices they just don't work as intended. Apple's fingerprint sensor works unobtrusively and make unlocking your device truly hassle free. Most of Android devices make the user fiddle with the security pattern or password before allowing access. Android's biometric attempt with face recognition failed miserable and is very impractical.
Those are some of the points we could think of.