I think people are coming at the draw-weight question from the wrong angle. Everyone is asking "how much draw-weight can I pull?" when the question should be "how strong a bow is required to replicate the distances shot by a medieval/Tudor archer?"
My argument relies on two assumptions:
1) The statute of Henry VIII, that no man should shoot at a distance less than eleven-score yards, was put in place to enforce (and reinforce) military archery.
2) The 220 yard distance was shot with a military-standard arrow, or very similar
You may disagree with these assumptions. That can be the subject of separate discussions.
Acquire yourself a military arrow. The EWBS Livery arrow is a pretty faithful representation of a MR arrow. The arrow should weigh approx 65 - 70g, be 30"+ in length, and have spiral-whipped fletchings, around 7.5" long.
The aim is to shoot that arrow statute distance - 220 yards. With a self-bow. Perhaps of "medieval" design.
A bow under 100lbs will almost certainly not reach the distance. A very good 120lb bow, with a good archer may achieve the distance. To consistently achieve, or exceed the statute distance requires a bow in excess of 120lb, and an archer fully comfortable with that bow (that is, well within his capabilities).
Evidence from EWBS (and other) shoot results seem to support this statement.
(As an aside: Many archers fail at this point, then start to look for evidence for a shorter 'medieval' yard (for example, the Pace) so they can say they've achieved the correct distance. This is called changing the conditions of the test, or 'cheating'!)
So, if you want to shoot a 'war bow' (however you define that!) you need to be looking at the end result (how far, and how accurately, you can shoot a military arrow) as opposed to one rather simplistic metric (the bow weight).
I think you will find this a much more rewarding challenge than the brute-force and ignorance argument of "I can shoot a XXXXlb bow, therefore it's a warbow"