Swing is a genre of music most common in the late 1930s and early 1940s.

Artists such as Nat King Cole, Frank Sinatra for eg. Are famous swing artists. Or Benny Goodman, known as the king of swing. Check out Mack The Knife, in this post and Cappuccina (which I linked in a reply to zana) they're very typical swing tracks.

This is a very famous swing track you may know by Louis Prima,