As VofR suggested, a very convincing case can be made that the Papal decree invalidating Anglican Orders was made because of political considerations of that time and place. We don't need to go further into this, however, since that wasn't Jason's question.
As for the Anglican view itself, though, I have to disagree with a few things that have been said. First, there are almost no Anglicans who don't accept Apostolic Succession. Secondly, and although we all know that there is a wide and accepted range of opinion on lots of issues among Anglicans, there has never been any official, general statement made that supports the quasi-Roman Catholic view about validity, etc.
In other words, and while recognizing the usual spectrum of opinion, I think a good answer to this question requires us to narrow the range of answers. Of course Anglo-Catholics will tend towards the Catholic/Orthodox view, but neither the Articles nor the Quadrilateral take that Anglo-Catholic view (esse). Meanwhile, and at the other end of things, not even the lowest of the Low Churchmen reject Apostolic Succession as it is described in the Articles and Quadrilateral--which come as close as anything we have to official Anglican position statements.
P.S. Thanks, Jason, for your answer on that other thread!