I pretty much doubt that he would get an annulment today, since as a head of state (or whatever a king is) his case is reserved to the Holy See. I tend to think he would get the same result today - with what I know of the facts of his case. Rome today would hardly be impressed by his situation! At the time of Henry VIII the annulment process was fairly rare and on a case by case basis. I don't think there was the whole structure of tribunals etc that we have now. There was certainly no Code of Canon Law - that didn't become reality until 1917. As for grounds of nullity, that has been an ongoing process since the beginning of Christianity. Many of the grounds that have been formulated in our day (especially the so-called psychological grounds such as lack of discretion, etc) were obviously not around back then. Still, I don't think he would have much better success today, unless his advocate could successfully argue that he suffered some sort of personality disorder that incapacitated him for marriage....