No.
He (re)started a war essentially because of his fears over the legitimacy of his line. Granted, that war led to a significant victory and a treaty that essentially gave the Kingship of France to the House of Lancaster. Yet that rule lasted no longer than Henry himself. He introduced no legal changes, no changes to military tactics or strategy. He was feted by Europe, but not further abroad.
Whereas...
Alfred resisted and pushed back rapacious invaders, created burhs, altered laws and lands, and formed the idea of England
Athelstane formed England
Richard was recognised for his military skills by both Europe and the Arab States (as Melek Ric)
Edward I added Wales to the crown, introduced longstanding legal change and subdued Scotland (well, for a bit...)
Edward IIIs wars were the beginning of the switch from military main effort being caused by shock to it being caused by missile. He won a victory as great as Agincourt at Crecy, as well as the naval victory at Sluys, victories at Halidon Hill & Poitiers
Elizabeth faced down the superpower of the time
William III began the move to constitutional monarchy
Victoria oversaw the rise to the greatest Empire in the world.
George VI oversaw the defeat of Nazism
Elizabeth II has set the standard for constitutional monarch in the UK, and pretty much saved the monarchy.