The Hundred Years War

[matteus the inbred]

You need only two (thus far) - Trial by Battle and Trial by Fire by Jonathan Sumption. He still is writing them and they have a long way to go, but their more comprehensive than anything else and tell you everything you'll ever need to know about the HYW.

Absolutely, they would be my pick too. Incredible detail, even my crusty history tutor recomended them...
Any of the Yale English Monarchs series are good books written by top historians, Richard II by Nigel Saul is definitely among the best and very relevant to the period.
http://www.amazon.co.uk/gp/product/0...UTF8&s=gateway

Obviously the volumes on Henry V/VI would be relevant too. You can often get them in offers on Amazon.

The Three Edwards: War and State in England 1272-1377 by Michael Prestwich is also a very good intro to the 100YW period...