No, I am including World in Flames as a strategy game. I think Axis and Allies is the better game by far.
World in Flames has some good stuff going for it. It has a very detailed map and unit scale. It has development of the planes over the years and good rules for weather as well. It has a better convoy/sub attack system than Axis and Allies. The sea zone system for naval combat in general is very good. The oil rules were a good addition too.
So with the above comments you would think we would play World in Flames all the time right? No, we never play it anymore. It simply takes too long to play. With a half day for set up and mid game turns taking a whole day to play it can take 20 weekends to finish a game. (This is not even a complete game by the way. The axis powers normally have it won or lost by late '43 so the big Allied counteroffensives are never played out.) And you have to leave up the game setup the entire time. In Axis and Allies you can set up at 10AM and still be finished by 9PM the same day. This is with taking breaks to get some seafood at a nearby resturant.
The strategic decisions in both games are the same - whether to reinforce Africa as the Americans, or invade UK or go straight for the Soviet Union for Germany. But in Axis and Allies, these decisions play out a whole lot faster which makes for a better game IMO. The level of detail in World in Flames may make for a better simulation but not for a better game.