It's Only Rock and Roll (Stones cover)
Waltzing Mathilda - Tico
With a Little Help from My Friends
I Thank You - Sam and Dave song
Mrs. Robinson
Crazy - Tico
Tumblin Dice - David
Heaven Help Us All - Stevie Wonder single
Helter Skelter
Rockin' in the Free World
634-5789
Hallelujah
Boys are Back in Town
Please Come Home for Christmas
I Wish Everyday Could Be Like Christmas
Christmas (Baby Please Come Home)
Not Fade Away - JBJ
Jailbreak - JBJ
Jersey Girl - JBJ

Collaborations
My Way - JBJ w/ Paul Anka
Celluloid Heroes - w/ Ray Davies
Looking For a Love - w/ Sam Moore
Show Me the Way - w/ Mighty Sam Mc Clain
Always on My Mind - w/Willy Nelson - Jon and Richie

How Long Has This Been Going On
Levon

There are probably a few more - I haven't gone completely through Richie's stuff either - he has several good ones.