Well, it's just a "game", so I picked 1987. I really don't mind Cher's win at all, but lord, Glenn acted the hell out in FA. Such a crazy bitch! Of course the Academy wouldn't dare to reward it. *gg* Runner up would be 1982 and 1988 (although in that year I'd have voted for Meryl for A Cry in the Dark). I have not seen The Natural, but in no way she was going to win for The Big Chill or Albert Knoobs, that's for sure. Sorry Glenn....
It's a real shame she doesn't have an Oscar but I don't think she was the best in any year. There are certainly times when the person who won shouldn't have but there is still a superior performance than Glenn's in the lineup.
If I had to give her one win it would be 1988 but she doesn't really come close in any of the others.
I voted for Cher, who was definitely charming in the wonderful Moonstruck but Glenn Close was truly terrifying and brilliant in Fatal Attraction.
Amongst her nominations, I would rank her 2nd in 1982; 4th or 5th in 1983, 5th in 1984, and then 2nd in 1988. As for her work in Albert Nobbs, I actually may even give her the win for that too, but it is still so recent and I want to watch a couple of the performances again from that category to make a more firm decision.