Interestingly, the Shy Guy asks if there is any water in "these damned pipes" and then goes on to mentions that the fire burns, "like gonorrhea".
The music heard in the first seconds is a remix of "Overworld", from Super Mario World on the SNES, the next track is taken from Super Mario RPG: Legends of The Seven Stars.
As Mario is using a Super Star, "Invincible Star" from Super Mario RPG can be heard.
Green Shy Guy seems to be a (voiced) parody of Christopher Walken's from the 1994 classic movie, "Pulp Fiction."
The Super Mario World level seen in the background is level 1-2 from Super Mario World, "Yoshi's Island 2".