Not very many News Flash segments are really parodies. While they may involve fairy tales and nursery rhymes and usually have different endings than what's expected, they are pretty much the same story or nursery rhyme. The characters (usually) have the same names as in the original story. But all the Don Music songs are parodies, and some of those should have been included. I think I'd also consider "The Princess and the C" a parody. And I don't think "How I Miss My X" is a parody of any speciffic song.