Hey there! While I'm in no way an expert in this area, I was researching it recently and hope to provide even just a little insight!

From what I understand, a key element of the English Reformation is just that - it was an English Reformation, relatively separate from the German debates occurring contemporaneously. It's important to note that the reformation in England was kicked off primarily due to Henry VIII's decision to sunder the Church of England from the Catholic Church.

For the record, there were numerous debates, arguments and differences between the English Church and Rome for quite some time before this, but none led to a complete separation in the way that Henry's political concerns did.

Once Henry had separated from Rome, he essentially had under his control a small section of the Catholic Church. Since his intentions had been largely non-theological (as opposed to Luther) the Church of England retained much of its Catholic appearance, and still does to a large extent. Go to a high Anglican service, or even an Episcopalian church in the states and you will immediately see a lot of the similarities.

However one of the primary differences between the two was that Henry wanted control over his English Church. By pushing for the King's control over the Church, Henry and the various clerics who helped over the next couple centuries to mold this new Religious Body were following in the footsteps of even earlier theologians and scholars like John Wycliffe (known for helping create the Heretical sect the Lollards) and others. Wycliffes arguments were primarily based on the idea that the Church should hand over temporal control to political figures like the King - due in no small part to their overwhelming wealth in land and other capital. Wycliffe was disgusted by the widespread opulence and corruption of the Church that he saw at the time - much as Luther was concurrently. While Lutherans evolved away from the idea of Political control of the Church, they certainly pushed for the same ideas of combatting corruption and benefices.

In England, Thomas Cranmer and many others used these ideas, with heavy influence from the King, to craft a Church that sort of paved a third way - the famous 'via media' between staunch Catholics and rebellious Protestants. To this day the Church of England represents a middle ground between the various Protestant denominations and mainstream Catholicism. Their political background did lead to the King's control of the Church, like you mentioned. In the present day this control has been loosened however, and over time the Archbishop of Canterbury has assumed more of a leadership role.

SOURCES:

Dickens, A. G. (1989). The English Reformation (2nd ed.). London.

Heal, Felicity (2005). Reformation in Britain and Ireland Oxford University Press

Leiden, Brill (2006) A Companion to John Wyclif. Late Medieval Theologian

Picton, Hervé. (2015) A Short History of the Church of England: From the Reformation to the Present Day. Cambridge Scholars Publishing