The Benedictines had been in England for just shy of a thousand years when England broke communion with Rome and their presence in England was at the very bedrock of the English Church. The Franciscans also had a vibrant presence in the English Church. These, together with more contemporary institutions for perfection, have expressions in worldwide Anglicanism. They are a very important presence in the Anglican Roman Catholic dialogues and they are important partners in ecumenical endeavours.
There are no ties, certainly, at the level of governance but there are warm and cordial relations – the Anglican Benedictines are always listed in the Annual Yearbook of the English Congregation of the Benedictine Confederation, for example.
The Franciscans are popular enough and present enough that one can never automatically presume, when one encounters something Franciscan in England that it is Roman Catholic, it very well may be Anglican.