As for the film itself, it was a definite step up on the previous (and a third is almost certainly going to go ahead, although whether it is Wolverine 3 or The Wolverine 2 who knows. Jackman is apparently onboard)
There were some good set pieces, and it was nice to see them using Japanese actors and actresses, rather than known faces. Although the story worked well enough, and I liked various elements, I did not like how they got there. Wolverine losing the claws good, a giant adamantium clad Samurai with a sword that could cut through the claws not so...)
I'm not sure just how the stealing of the healing factor would work. Why would it leave Wolverine, rather than just be copied? It is part of his genetic makeup, you'd have to alter him at a basic genetic level to get rid of it.
Viper was a second class Avengers foe, but shifted over to Wolverine later. I quite liked the way she was handled, even though she was made more powerful than in the comics, but missed her dark hair! (She is not a mutant there either).
I quite liked the lack of other mutants, it made it much more intimate and about Wolverine rather than the previous film which was more like an X-Men movie.
Did not like all the Jean Grey appearances. She was not needed, and seemed to detract from the story of a wild man falling for a cultured and civilised woman. (She starts off almost as a delicate young thing in the comics, and grows into an astute business woman)
The hidden end piece was obviously tagged on, but set up the coming Days of Future Past brilliantly.
In all a flawed film, but a definite step up on the last couple of 'original' X-films, but not quite as good as First Class. With the Fox licensed parts of the Marvel Universe coming under a more controlled guiding hand from this point, perhaps TDoFP might really reboot the X-Men and Fantastic Four and give us something really special from now on.
Oh, and one thing that would have really improved the movie would have been an appearance by Gambit...