Pedro, your intentions may be well meant to "enlighten" us all, but your method comes off to be very negative and  condescending. If you have something to share with everyone, you can easily get your message across by simply changing your method to being a little positive......and also write it in that manner.
 
Otherwise, all it does is discourage anyone to take the time to even look at what you're saying. Don't be a grumpy old man.....  
  

My favorite covers that dramatically changed the songs have already been mentioned....
This Flight Tonight (Nazareth from Joni Mitchell)
Green Manalishi (Judas Priest from Fleetwood Mac)
Blinded by the Light (Manfred Mann from Springsteen)
 
Here in Canada there was a band named Streetheart that did well for themselves in the late 70's early 80's. They were masters of "upping the ante" in regards to covers.
 
Their 2nd album from 1978 contained two great examples....
Under My Thumb from the Stones
https://www.youtube.com/watch?v=jEn7TfjxZRw
 
Here Comes the Night from Them (Van Morrison)
https://www.youtube.com/watch?v=uNjbbVQ6mTo
 
They had a few others as well.... on their 4th album they covered Small Faces "Tin Soldier" very faithfully and recently Kenny Shields (lead singer) covered "Black is Black" and took it to a new level.
 

Heh, I've been importing songs into my MediaMonkey player for months now, and just imported seven albums from Streetheart last night!

 
LOL!

Bajan Blue
Pink Fairies "Walk Don't Run" https://www.youtube.com/w...ist=PL51EFCAA5F97AFAA8
 
Wow didn't think I'd see anyone mention the Fairies!!!!! I saw them so many times that we started to do a cover of this cover!!
Their's was always so powerful, well when they were straight enough to play their instruments.
Last time I saw them (Paul, Duncan and Russel version of the Fairies) they were so stoned they couldn't even tune up! Shame......
On this album (What a bunch Sweeties) good cover of the Beatles saw her standing there, which might also qualify!!!
Nigel

I've known of the Social Deviants/Fairies for over 30 years but never got to see them until 2014 when they decided to put the band together again for a small tour of a few mid-sized venues and a few small festival gigs (because they could).
Line-up was
Russell Hunter (drums)
Duncan Sanderson (bass)
Andy Colquhoun (guitar)
Jacki Windmill (perfussion, some synth and vocals)
George Butler (drums).

The Pink's two-drummers hammering away in a 700 capacity club with an excellent sound system really punched hard.
Saw them again in 2015 minus Russell, playing what was probably their last but one ever gig. Mind you, they've said "that's it, no more" many times before...

Never did get to see Mick Farren perform though :-(

I did think of their "I saw her standing there" cover, but thought the Pink's are often best introduced in small doses :-/

A couple more -

The Faces - "Maybe I'm Amazed" https://www.youtube.com/watch?v=ge29Ae5IuSc (Ronnie Laine sings the first verse, then Rod Stewart for the rest).
Stevie Ray Vaughan - "Little Wing". Also Derek and the Dominoes' version.

i'm still kinda favorable to that bad moon cover
 
 
 
 
 
 

I always liked Susanna Hofs and Matthew Sweet's "Sid and Susie" Under the covers albums. Very nice version of the Stone Poney's "Different Drum"

Bajan Blue
 
Wow didn't think I'd see anyone mention the Fairies!!!!!

I had 'What a Bunch of Sweeties' on vinyl. Always thought they pre-dated punk in some tracks.

BobF
Your constant misrepresentation of "America" gets tiring ... I bet you have a hard time finding hats large enough

The nudity in the show did not go well in many places in America, and STILL doesn't. What you're saying is that your head is too big to admit that something just aren't nice, or right ... but nakedness on a movie or polished violence, is OK with you!
 
Take a hike!