This name was made popular by American actress Kim Novak, who starred in movies such as 'Vertigo' and 'Moll Flanders.' Another famous bearer is Kim Carnes, singer of the 1981 hit 'Bette Davis Eyes.'
I've never liked this nickname, and I don't like the name Kimberly either. As for now, I associate this name with the ex-wife of that moron, Eminem, and the awesome track Kim & Jessie by M83 hasn't made the name sound any prettier or more sophisticated to me.
This name was also used in Russia by Soviet parents after the October Revolution. In that case, Kim was not short for Kimberly, it was an acronym of "Kommunistichesky International Molodyozhi", meaning "Youth Communist International".
In the musical Bye Bye Birdie (which takes place in the 1950's and is a parody of Elvis Presley and the changing attitudes of teenagers), the main character is named Kim.
In the 1936 version of the movie Showboat, a baby born on the Mississippi is named Kim after the K in Kentucky, the I in Illinois and the M in Missouri. Curiously, the name Kim first appears on the popularity graph on this site at exactly the same time as this movie's release. [noted -ed]
Another famous Kim was American actress Kim Stanley (1925-2001). As was the case with Kims Hunter and Novak, the name was assumed. (She was born Patricia Beth Reid.)
Never liked this name. For one thing, it's a very common word in Asia and the most common surname in Korea. It always seemed very boring to me. The only good thing is that Kim is very easy to spell and pronounce.