Alright, time for a user review.
First of all...
I'm on my 3rd L930 due to the well documented screen uniformity issue. Essentially, on the first two samples I had, there was noticeable uniformity issues in the lower right corner of the screen. It looked like there was light bleeding through around the corners, which is odd given that it is an OLED screen. It was most notable on dark (black or grey) UI screens, of which there are plenty in WP. Some have had luck by resetting the phone and not updating the display app, but at least on the second sample I had, this did not help. The issue was already visible on the first installation pages. Unfortunately, it is not something which is always apparent. In well light rooms, it is much less visible than in a dark room.
Anyway, on the third one, I reset everything, left the display app without update and everything is fine now.
The real review
My previous Lumia was the 1020. A great phone. The camera was quite simply epic, as everyone knows. The camera on the L930 is not comparable in my opinion. It is definitely possible to make good shots, but especially in low light conditions, I get a lot more noise introduced (for reasons much better explained by other members of this forum). Of course I did not expect to have the same picture quality as the 1020, but still ... it leaves me a little disappointed.
For the rest the phone is great. The screen is very sharp and colors POP! On uniform colored screens, I feel there are still some uniformity issues. I can't describe it better than making an analogy with painting walls. A professional painter will be able to have a perfectly uniform color. An amateur painted wall will show some areas which are every so slightly darker or lighter. It's a very subtle effect, but noticeable when you pay close enough attention. I've seen other people on this forum say it is simply due to the level of quality of the screen used.
The phone is very responsive and flies through the OS. I haven't done a 1-to-1 comparison with my 1020, but I'm confident that apps open quicker and in general moving through the OS feels more responsive.
Call quality is second to none. I don't think I've ever had a phone which such clear sounding voice quality. Very enjoyable.
Build quality is excellent. I have non creaking issues of the back plate, all edges are perfectly aligned and the phone feels great in the hand.
The heat... Covered by many people on here. Yes, it gets hot. Not uncomfortable to hold hot, but hot nonetheless. Even when performing relatively light tasks, the bottom right corner will get noticeably hotter than the rest of the phone. I've had other phones in the past which had the same issue, so I don't care too much about it. Still, it would be great if a software update could improve the situation.
In short: It's a great phone, but not a brilliant phone. A few too many little issues with it. The L1020 I had prior to this had that little something extra special which I'm missing in the L930.