Ten Most Wanted: Oscar's Best Pictures

Having recently screened and enjoyed John Ford's How Green Was My Valley on DVD, I now have only ten more winners of the Best Picture Oscar left to see. (How Green Was My Valley, if you don't know, was a huge critical and popular favorite in 1941, but is most notorious today as the film that swiped the top Oscar from Citizen Kane.) Like a lot of pop-movie nerds, I've had a goal for a long time of seeing all of Oscar's Bests, though as I look at these assembled posters, I can see the reasons why they're the ones left to go. Devoted readers of NicksFlickPicks will note that the common threads linking these films don't mesh real well with my personal tastes. After all, these movies are...
Biopics: The Great Ziegfeld '36, The Life of Émile Zola '37, and Gandhi '82
Bloated Epics: Around the World in 80 Days '56 and Ben-Hur '59, plus the plus-sized Ziegfeld and Gandhi
Musicals That Aren't Really Musicals: The Broadway Melody '29 and The Great Ziegfeld (again!)
1960s Musicals Minus Barbra or Julie: Oliver! '68
Movies Starring Charlton Heston: Ben-Hur and The Greatest Show on Earth '52
Ocean's Twelve-Style Movies Where Famous People Fuck Around Without Really Acting: Around the World in 80 Days, and arguably The Broadway Melody and The Greatest Show on Earth
The classed-up star vehicles Mutiny on the Bounty '35 and Mrs. Miniver '42 probably inspire the most confidence at this point, though Ben-Hur is probably the best-known classic of the bunch. I'm hoping by the end of the year, I'll see them all—hell, after Cavalcade '33, Going My Way '44, and most of the mid-to-late 1980s (Africa, Rain Man, Miss Daisy, oh my!), I can take anything. Soon, I'll be posting a link to my entire ranked list of all the Best Picture winners, plus a complementary digest of all the nominees that were good enough to have deserved a statue.
But meanwhile, which of the ten I have left do you think I should start with? Any recommendations, warnings, wild guesses? What are you favorite and least favorite Best Picture winners?
(Okay, back to my dissertation...)