I recall that someone spoofed the old pop/rock song "I Want My Baby Back" about a guy mourning the death of a girlfriend with a macbre knock-off version, "I Got My Baby Back" where the guy got into the casket with her.
As a kid I had a spoof 45 record that parodied "I Want a Girl (Just Like the Girl That Married Dear Old Dad)". Don't know who did it, but what I roughly remember is:
"I want a beer, just like the beer, that schnockered dear old dad.
It was so cold, with a tast so bold, best daddy ever had.
A good old fashioned brew, With hops so true, One that skunks nobody else but you.
etc."
In his later years, Dad and I would sometimes sing it as we sat around having a few cold ones and (for about the 867th time) retelling old "remember when" stories.
Many pop songs were parodied, even Rap, like when Christina Aguilara roasted the Marshall Mathers (Eminem) trash rap, "Will The Real Slim Shady Please Stand Up" with her version, "Will The Real Slim Shady Please Shut Up".