Not of that era, but Moral Orel is a modern (2005-2008) parody of Davey and Goliath (not sure parody is the right word, Moral Orel is kind of its own thing, but apes the style of Davey and Goliath.)
https://www.youtube.com/watch?v=AyNJ03l82sw
If you're an Aimee Mann fan, you might enjoy this Moral Orel mashup: