"The Way You Look Tonight," written by Fields and Kern, is best known today as a Frank Sinatra standard, but it was originally performed by Fred Astaire in the 1936 film Swing Time. It won the academy award for best song, and there have been dozens of covers ever since.
I haven't found a video of Sinatra singing the song
Billie Holiday's rendition was also released in 1936, shortly after the film (audio only)
Audio only