A genre I didn't expect to be into is cheesy songs on late night shows hosted by former Daily Show correspondents→[More:]

The standout has to be Colbert's psychedelic hippy-clothing-clad song "Death. Taxes. Hillary", but he gets points for:

"The RNC Is Like Christmas In July"

"Please Welcome: The USA Freedom Grown-Ups"

As for John Oliver, he makes a strong showing with the (very swear-wordy) Brexit song among others.