Song covers that you don't know are covers

[neo_leviathan]

Well, after some reading stuff and random thinking, I've decided to post a little test.
I'm going to list a bunch of songs below, and I want people to post who they think originally performed them.
Just a test to see if the cover is more well known than the original for a few things :) I'll try and post a reasonable proportion of "Might not be who you think it is" vs "Trick" ones.

Lucy in the Sky with Diamonds
The Man Who Sold The World
Tainted Love
Respect
All along the Watchtower
Hound Dog
Lover Lover Lover (You don't treat me no good no more)
I'm a Believer
I will always love you
Venus
Red Red Wine
When you say nothing at all
I heard it through the grapevine
Higher Ground
To make you feel my love
Girl you know it's true
I shot the sheriff
Hurt
Black magic Woman
Jeremiah was a bullfrog
Barbara Ann
New York New York
Unchained Melody
American Woman
You are so beautiful
Everlasting Love
Achy Breaky Heart
Drift Away
Bad to the Bone
Women in Uniform

By the way, if anyone can actually put a band, original or not, to all of them.. well, you deserve a cookie, because I'd have no idea for half of them without a list.