I own a Nexur 4, so thought I'd weigh in with a few comments of mine.
I got mine (easily enough - Carphone Warehouse had them in stock and provided one free as an upgrade when i renewed my contract) last month, I knew it wasn't great in the battery department, but I've always wanted a nexus phone and not only was this particularly powerful, and brand new, but I fell in love with it when i saw one in a shop.
The battery life is indeed not much to write home about, but it's certainly usable. Personally - if i feel like playing games i'll do it on a tablet - bigger screen, better battery life, and so on.
The case does indeed feel sturdy and solid, though as the article states, care should be taken not to drop it to avoid damaging the glass. I have yet to peel off the plastic, so I cannot answer to the effectiveness of the oleophobic (anti-fingerprint) coating on the screen.
Photosphere is interesting, i haven't tried taking a panorama outdoors, but indoors it does seem to make the occasional mistake when stitching the picture together, not sure if this is a side-effect of trying to take large and full-360 panoramas, and may work better for a smaller image.
It does indeed include inductive charging and NFC, neither of which I personally have much use for, though I have tested the wireless charging once with a friend's charging pad.
I believe the device also includes an HDMI out over the micro USB port, though from what I've read on the internet it uses a different specification to the common and cheap MHL It does however include Miracast for wireless displays, not that I own one of those either.
Altogether - it's a pretty nice phone, nothing to write home about if you already have a recent nexus device, but if you're only upgrading from an old gingerbread device, it should be very nice.