Oh good question. It's a complex relationship.
Today, conservative Anglicans, Lutherans, and Reformed types tend to bond over being among the first wave of Protestants.
Between the reign of Queen Elizabeth and the Restoration, the Anglican Church's application of Reformed theology ebbed and flowed. It went from Reformed-Influenced under Elizabeth, to not-so-Reformed under James I, to a mixture of extremely reformed and hardly Reformed at all during the Commonwealth era, and the same after the Restoration only the tables were turned.
Not very much has changed since in that regard.