I know this will be hard, so maybe pick one for each discipline if you like.
I'll just pick one from ladies. It would be Baiul's SP from 1994. I had never seen anyone skate like that before. I was truly awed. She was so young, yet skated with great maturity and I was sure she must have been a balerina in a former life. That being said, I think Kerrigan's LP was flawless and I personally would have found it fair to give Nancy the gold.
It is an SP that for me is etched in my mind. I think it was so good that the judges overlooked her flawed free skate. I recall seeing Jayne Torvill watching her SP and her jaw was dropped. Hard to believe it's close to twenty years ago.