All I can do is go off my personal experience.
I just felt a bit let down by the IP5, compared the the S4 (although not as attractive as the IP5)
I still love my iPhone, and yea you're right, what more can a phone do? But we live in a time now where we can be picky and snobbish when it comes to minute details
Screen
Nobody can argue that in its heyday the Apple iPhone 5's 4in Retina 326ppi screen was ground breaking... But since then other phone makers have risen to the challenge, HTC with its One and Nokia with its Lumia 920 releasing screens that match, if not beat the iPhone 5.
Since we only look at the screen, the S4's 5in full HD super Amoled 1920x1080 441ppi wins it for me.
Battery
Both terrible - but we still compare them to the good old days of the 5110
Camera
On paper the S4 has better cameras, a 13MP rear and 2MP front... The Apple iPhone 5 by comparison boasts 8MP rear and 1.2MP front cameras. So Samsung win that one
I'm not one of these people that hates Apple, have a mac, an iPhone and an iPad... My music collection is too big to put it on an iPhone so I use my iPod... The move away is hard only because of the app store, which I think is where people place a lot of loyalty in Apple.
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