This is an interesting thread. I love it when I "re-discover" a song from childhood or one I remember hearing from my siblings old record albums.

The Unicorn -The Irish Rovers
The Shangri-las -Sophisticated Boom, Boom and Give Him A Great Big Kiss
Time of the Season -The Zombies
Layla -Eric Clapton
The Battle of New Orleans-Johnny Horton
Mustang Sally-Wilson Pickett
Grazing in the Grass -Friends of Distinction
Let's Work Together -Canned Heat
Hallelujah -Jeff Buckley
Fishin' In the Dark -Nitty Gritty Dirt Band
Vehicle -Ides of March
I Hear You Knocking - Dave Edmunds
Surfin' Bird - The Trashmen

Pretty much everthing I've added in recent months is Country.