I have a clear winner when it comes to this latest cover comparison, and that's the beautiful UK one on the right. I own both these editions and, while they're both lovely in person (the US one looks a lot better), the UK is just something else. For starters, Auri is on the cover. And she stands out. The title font is well placed, Pat Rothfuss's name is in a better location and I think the colours used make more of an impact.
The US cover is nice, don't get me wrong, but I just don't think it has the same effect as the UK offering. Both covers are story specific, both have meanings that you'll see when you read the book (which is brilliant, by the way), and I love that they're so different. I'm not sure the US cover would have worked well over here, though it's in keeping with the US covers of The Kingkiller Chronicles and therefore fits in well. I'm always interested to see how different territories approach their book covers, and I think is a perfect example of how they can turn out.
The UK Gollancz cover is one of my favourites from last year, and I really like this interpretation of Auri. She's a character we see but not an awful lot, so for her to get her own book was a nice surprise - she's exactly as I imagined her to be, all mysterious and ethereal. Yay Gollancz!
Do you have a favourite?