We all know about wars between rappers and hip hop artists; how they use their lyrics to bash someone else in the industry. However, there are response-type songs that are a bit nicer than these.
One such example is "Then He Kissed Me" by the Crystals:
Perhaps not a direct response, the Beach Boys came up with their own spin on this story with "Then I Kissed Her":
Sweet, no? Wait, it gets even better! Taylor Swift wrote her song "Enchanted" aimed at Adam Young of Owl City Fame.
While Taylor left the song relatively vague, Adam's response/cover was pretty straightforward. In fact, he even wrote out a whole note to Taylor explaining how smitten he was by her.
Sigh. I want someone to write me a song!