I have not seen MOONLIGHT yet, though I've just ordered it on Amazon since I have every Best Picture winner in my DVD library.
However, I wonder if this is one of those movies that you see once because of the awards, then don't care if you ever see it again.
I'm not suggesting that these aren't excellent pictures, but how many times can you watch such movies like SOPHIE'S CHOICE (not a Best Picture winner), 12 YEARS A SLAVE, BIRDMAN, THE LOST WEEKEND, GENTLEMAN'S AGREEMENT and other films of the moment?
It's amazing when you look at films that have won Best Picture over the Academy's history, how relatively few of them are still watched regularly today by the public. Winning a Best Picture Oscar does not make a film a "classic".