A work in which a satirist creates new, humorous lyrics for a well-known song would be an example of a parody.
One well-known satirist is "Weird Al" Yankovic. He takes popular songs and changes the lyrics to create funny songs. Some examples include "Eat It" and "Amish Paradise". "Eat It" is a parody of the song "Beat It" and "Amish Paradise" is a parody of "Gangsta's Paradise." There are many other satirists like "Weird Al" that primarily do parodies of other songs.
