Keyboard
At the risk of being flamed for not reading through 200+ comments to see if someone already suggested it, I would recommend a new or selectable on-screen keyboard styles. The iPhone keyboard has always been crap.
Peeves about Apple's obsolete keyboard and what Android does better:
-Apple's on-screen keys on iPhone are too small for those of us with bigger hands, and usually will not rotate with the screen orientation when you want them to.
-No "Swype" or similar without installing a 3rd-party app.
-No easily selectable numeric keypad like Android has had since the beginning of forever.
-No 'long press' to get the alternate symbol on the key, such as numbers, punctuation, etc.
-No easy 'shift lock'
-No swipe-to-modify the case of a word or capitalize the first letter on the fly.
-Why is it such a pain on iOS to insert the cursor into existing text just where you want it, such as when editing a mistyped URL? It jumps around like a greased weasel.