Well I guess one could consider some of the Gilbert & Sullivan songs as anti-something or another, as many were anti- military and anti-politics in a spoofing sort of way, although they did not parody any existing songs.
Two that come to mind are "Modern Major General" from "Pirates of Penzance" that took on the military's aggrandizement of its senior officers, and "When I Was a Lad" from "HMS Pinafore" that really jerked the chain of the powers that be for appointing a military novice to the highest naval office for purely political reasons.