I can't think of a game that was made to poke fun at gaming clichés but I have played games that poke fun at elements of rival franchises. In True Crimes NYC, the main character takes a shot at GTA during the taxi missions saying something along the lines of driving a taxi next thing they'll have me playing with remote control cars.

GTA has a pop at True Crimes in San Andreas. At one of the train stations there is a billboard for a game called True Grimes street cleaner