The copy I received is the corrected edition. In the book, Barnes & Noble give thanks to Martin Andersson for his help in correcting the text. There is one glaring error still to be corrected and that is that the contents page states there is an "about the author" section on page 1099. Unfortunately, the book only goes up to page 1098 and so no such section is to be found. It doesn't really matter because S. T. Joshi's Introduction does the job very nicely.
There are some things to note.
Firstly, this is not strictly "the complete fiction" and it would have more accurate (truthful) to call it "The Collected Fiction" - because `Collected' usually denotes that items may have been omitted. As one reviewer has written, the story fragment "The Thing in the Moonlight" is missing. I've noted that the story "Poetry and the Gods" is missing too. The book includes one story written in collaboration with another writer and excludes all the other collaborations by Lovecraft. It hasn't been unusual for a book of Lovecraft's fiction to include a chronological list of his fiction. You won't find one here, perhaps because it would highlight what was missing from a book described as `complete.' No explanation is given for the omissions. Another reviewer here gives a useful full list of contents of this book.
Secondly, despite being part of Barnes & Noble's `leatherbound' classics the book is not leatherbound. It's not even clothbound. It appears to be boards covered in a thick, tough bookbinding paper. Because I didn't buy this book as a `collectable' item, but merely for the convenience of having one book with as many of Lovecraft's stories in it as possible, the points mentioned are not a big deal - but it might be for others so I have noted them here.
All in all, it's a handy convenient edition to read `most' of Lovecraft's fiction, especially as the price I bought it at was a greatly reduced one.