Actually, the screen tech isn't entirely 3 years old......IPS LCDs may be, but Apple used new manufacturing processes and lamination for the iP5 display that gave it much higher brightness and more accurate/bright colors while also increasing its efficiency.....
Hence why there's a pretty noticeable increase in quality between the 4S and 5.....at least I think there's an increase. The 5 looks much sharper as far as colors go.....4S seems washed out by comparison.
Contrary to popular belief, Apple did in fact do quite a bit upgrading for the 5....
As for comparing to the One and GS4? I prefer LCDs, so I can't comment on the GS4 (though I've heard the movie setting gets the AMOLEDs close to the color accuracy of LCDs, albeit not quite there), I will say while I do think the One is better, its not a huge difference. I think we've reached the point of diminishing returns when it comes to display quality......
At this point, the best strides OEMs can make with regards to their displays are to make them brighter and more power efficient (or more power efficient so we can turn the brightness up higher.....the iP5 at full brightness is plenty bright).
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Beat to it. What this guy said.