I was going to mention the The Reel Big Fish's Skatanic and The Offspring's Special Delivery as two such songs mocking the first-person stalker, and hey, I just did. Both songs present the stalker as a dangerous nutcase.

On the opposite end of the spectrum, STP's Sex Type Thing goes past "stalker" and seems to be "yay for rape". I don't sense irony in that song when I listen to it. It's more like a slice of a rapist's mind presented as art without the kind of social commentary that the Fish and the Offspring like to do.