A friend jokingly calls it my "microphone", another a "prison phone" (due to its size allowing for more easily smuggling in body cavities). Occasionally I go to mobile phone shops and ask if they have a case for it just for the fun of seeing the look on their faces when they see it (I don't actually want a case, and in fact it came with one which I threw in the bin).
Personally, I couldn't be happier with it.
Only problems: they don't do software updates; camera is poor; non-OLED screen.
In an ideal world I'd have a slightly bigger phone, but not too much bigger. I've grown very fond of this phone.
AFAIK, the hardware still suffers from that problem, but it's been fixed in most devices by software fixes. Instead of displaying the exactly same content 24/7, it has "cleaning programs" or similar to runs once in a while to prevent the burn in from happening. Our OLED TV does the same I think too.