What the differences between Anglicanism and Lutheranism?

Not much other than the history of the respective church bodies. In almost every continent, there are agreements of fellowship between the two Churches, namely the Porvoo Agreement in Europe and CCM (Called to Common Mission) in North America. The Lutheran Church came out of the conservative theolocal reforms of Martin Luther and his fellow reformers during the 1500's. The Anglican Church traces is history to the reforms which followed in England later during that same century. Both are liturgical, sacramentarian Churches neither of which accepted the Primacy of the bishop of Rome, who is accepted as the infallible leader (pope) of the Roman Catholic Church. Both Churches are headed by world coucils of bishops (aside from a few small juristictions which call their "bishops" by other titles, such as ecclesial "distric presidents" or something similar.) In some parts of the world, the Aglicans have absorbed some Calvinist influences which Lutherans, on the whole, reject. Anglicans are a bit more concerned with "Apostolic Succession" as a fundamental necessity than are some Lutheran synods.