You must remember this, a kiss is just a kiss, a sigh is just a sigh. The fundamental things apply
As time goes by ............................. Did they not have that on the list? Oh, maybe it didn’t win an oscar?
As Time Goes By was not written for Casablanca, hence not eligible. It was written in the 1930s and gathering dust in the Warner Bros. catalogue when Dooley Wilson sat down at the piano. Likewise One For My Baby did not originate in the Sinatra film but was introduced by Fred Astaire about a decade earlier in another film.