You Are So Beautiful (Dennis Wilson , Bruce Fischer and Billy Preston)
With A Little Help From My Friends (Lennon and McCartney) sang at Woodstock
The Letter (The Box Tops)
Feelin' Alright (Dave Mason) In 1976, Cocker performed "Feelin' Alright" on Saturday Night Live. John Belushi joined him on stage doing his famous impersonation. Here is a link to a preview on YouTube.
She Came In Through The Bathroom Window (Paul McCartney)
Up Where We Belong (Jack Nitzsche, Buffy Sainte-Marie, and Will Jennings)
Cry Me A River (Arthur Hamilton)
Have A Little Faith In Me (John Hiatt)
The Weight (Robbie Robertson)
Just Like A Woman (Bob Dylan)
I was fortunate to see Joe Cocker in concert at First Union in September 2000, he was a special guest in the Tina Turner 24/7World Tour. He had a unique raspy voice.
Great Tribute to Joe Cocker on YouTube by Billy Joel this past September.