Actually, it's not only pretty fun, but worth posting since, oddly, he has a new verse of lyrics not in the film's opening credits or in Peggy Lee's hit. I have to assume that they were written by Carolyn Leigh, but don't know if they were written for the original film version and just never used (which would make sense, but why then wouldn't Peggy Lee use them), or if Sinatra asked her to write additional words. They're fairly elaborate and fun.
It's so wistful today to think that a song like this could become a pop hit, and that a Peggy Lee and Frank Sinatra would record it. But that was the era of such things. After all, let's not forget that he had a hit with another chipper and whimsical movie song, "High Hopes." which was only about five years earlier.
(Yes, I know that Sinatra had starred in Hole in the Head, the movie in which he introduced "High Hopes," and the song won the Oscar. But that doesn't mean it had to be it a hit standalone recording. But such were the times.)
Worth noting about this Frank Sinatra recording of "Pass Me By" that's so lively is that screen of the video notes it was arranged by Billy May. He had a very successful career arranging, but most notable for these pages is that he did all the joyous arrangements on the classic album, Stan Freberg Presents the United States of America.