My general take on this list is that it underrates movies that are fun (e.g. The Sting, Shakespeare in Love) and overrates the serious war and crime movies (e.g. Platoon, The Departed).
#### it, my offhand ranking of every Best Picture I've seen, best to worst:
Lawrence of Arabia Casablanca The Apartment The Sting The Silence of the Lambs The Bridge on the River Kwai Spotlight Amadeus West Side Story The French Connection Shakespeare In Love No Country For Old Men Rebecca Hurt Locker Moonlight The Sound Of Music The King's Speech It Happened One Night Annie Hall The Artist The Godfather Gladiator Slumdog Millionaire Return of the King Forrest Gump Gone With The Wind One Flew Over the Cuckoo's Nest Rain Man Birdman From Here To Eternity American Beauty The Departed