The first few that come to mind are:
"Born to Be Wild" - Steppenwolf
"You Can't Always Get What You Want" - Stones
"In My Life" - Beatles
"Thirteen" - Big Star
"Alison" - Elvis Costello
"Tracks of My Tears" - Smokey Robinson
"The Heart Needs a Home" - Richard and Linda Thompson
"Have You Ever Seen the Rain?" - CCR
"Sweet Old World" - Lucinda Williams
"Crazy" - Patsy Cline
"He Stopped Loving Her Today" - George Jones
"Pale Blue Eyes" - Velvet Underground
"Protection" - Massive Attack
"Summer Wind" - Frank Sinatra
"Lucky One" - Freedy Johnston
"Let's Get It On" - Marvin Gaye
"Easy's Getting Harder Every Day" - Iris Dement
"Cinnamon Girl" - Neil Young
"Tuesday's Gone" - Lynyrd Skynyrd
"Web in Front" - Archers of Loaf
"Take the Skinheads Bowling" - Camper Van Beethoven
"Eight Miles High" - Byrds
"Mr. Tambourine Man" - Bob Dylan
Sorry, but this could go on forever...