Although I started this thread because I love parodies, I agree in part with BanjoRay. Once a parody appears, the original often falls behind. I think it has something to do with the type of song that gets parodies which are often (but not always) pretty terrible but wildly popular. They have to be well known or the parody doesn't work. Even some of the better songs that get parodied are those that have been sung to death and the parody comes as a bit of a relief. To work, a parody must be easily recognised. Here's one I was given a couple of years ago.
Take the rose bush from my hair
Shake loose all them little thorns
What's the sprinkler doing on
So damn early in the morn
Crawling home at 5 a.m.
Lord this sidewalk sure is hard
I guess I drank too much again
Help me make it through the yard

I don't know what's left or right
I'm too drunk to even stand
Why the devil won't you help me
Please take your foot off my hand

Put some coffee on the stove
And we'll go try to find your car
I can't hack it all alone
Help me make it through the yard

And get my lawyer on the phone
And help me make it through the yard