As a war historian and a serious movie buff, let me list the ones you really don't want to miss:
May 16: Hollywood Canteen - the Benny Goodman orchestra doing "Swing Swing Swing" while riding in jeeps.
May 30: Best Years of Our Lives - need I say more?
May 30: Hail The Conquering Hero. Preston Sturges at his absolute best, writing and directing. Funny funny funny
June 6: Dunkirk and Battle of Britain for sure. In Which We Serve written by and starring Noel Coward. Richard Attenborough makes his first screen appearance. "Attack" - very controversial when it came out because the enemy was an American officer. Eddie Albert's favorite Eddie Albert movie (he plays the enemy) "I was a serving officer in World War II and this was the first war script I'd read where things were as I remembered them." (Don't laugh at the "tanks" - they had a budget)
June 13: Tora Tora Tora; Thirty Seconds Over Tokyo; Destination Tokyo; They Were Expendable.
June 20: Great Escape; Bridge on the River Kwai; Guns of Navarone.
June 27: Sahara; Wings of Eagles (the story of Spig Wead, the best aviation screenwriter ever);
They're all interesting but if you can't watch 'em all without SWMBO chasing you with a rolling pin, watch these.