I don't listen to modern music frequently. I used to hear the current songs on radio on the bus to school, but college has fixed that. I do know about Lady Gaga, but only because she is such standard party-fare for college-campus parties that if I walk down the street on a Friday or Saturday night, I will hear final clubs (what we have instead of fraternities, basically) BLASTING her songs. On my own, I really don't listen to modern music.
But I do love a good parody. So, since you are almost certainly more familiar with modern music than I am, you probably know the song "Too Late to Apologize." First of all, I have a friend who is fairly obsessed with the movie of 1776, and she introduced me to the 1776 version of this. It is pretty funny... I would suggest that you watch the original music video for the song, because this mimics its format pretty effectively. And to great comedic effect. I also must admit to really enjoying the "No liberty, no tea" line. Well done.
The second one I just saw in section for a science class. The production value is not nearly so high, and the science is quite specific. So if you know a bit about apoptosis and regulated cell death systems, it is shockingly clever, but I bet the mass appeal is not so great as for the 1776 version.
So here they are, for your viewing pleasure...