Of course, Frank Sinatra famously recorded it with Tommy Dorsey during the Second World War. He also recorded it twice more, once as a ballad on 1962's "Point of No Return," and once as a helluva swinger arranged by Sy Oliver on 1961's "I Remember Tommy." (The swinger is a lot of fun to play, particularly as a trombone player. I had the chance to do that with a band outside of Winchester, Va. a few years ago.)
But, by far, the most beautiful rendition I have heard was performed by Tony Bennett on his Sinatra tribute album, "Perfectly Frank." Mr. Sinatra considered Bennett one of the finest singers around, and we all know Tony Bennett is a performer of exquisite taste. Rather than do a boilerplate tribute, he sang the songs Sinatra made famouse, but he sang them his way.
I was so pleased to find a chart of the arrangement, and had to give it a whirl.