First performed by Lucille Ball & Paula Stewart (1960).
Popular versions by Peggy Lee (1963), Rosemary Clooney (1963), Bing Crosby & Rosemary Clooney (1963), Judy Garland (1963), Louis Armstrong (1964).
https://youtu.be/hw3uROK6jHc
From the wiki: “‘Hey, Look Me Over’ was from the 1960 Broadway musical Wildcat, and was first performed by comedy actress Lucille Ball in what was the only Broadway appearance of her career.