Here's some more. I found these mainly by searching for songs that were mentioned in the food thread and the Bob Dylan thread, plus there are several that I found by accident.

After the Goldrush by Neil Young.
Animal Crackers In My Soup as performed by Shirley Temple 1930.
Birthday Song by Wierd Al Yankovic.
Bob Dylan's Dream by Bob Dylan.
Another copy of Bob Dylan's Dream by Bob Dylan.
Breakfast Blues Performed by Trout Fishing in America.
Canned Goods by Greg Brown.
Female Rambling Sailor Source: Ian Robb.
Here Comes Peter Cottontail by Gene Autry.
How Many Biscuits Can You Eat by Stringbean.
I've Got a Lovely Bunch of Coconuts by Fred Heatherton, 1949.
Jerusalem, My Happy Home from Rollins' 'Old Engish Ballads'.
Julie - a prison blues song.
Lasagna by Weird Al Yankovic. (parody of La Bamba)
Masters of War by Bob Dylan.
Mountain Whippoorwill by Stephen Vincent Benet.
My Loving Father by A. P. Carter?.
One More Minute by "Weird Al" Yankovic.
Sweet Potatoes sung by Robin Christenson.
The Song of the Eel (Lord Randall) - This post contains both Gaelic and English versions.
Winter Wonderland by Dick Smith, Felix Bernard 1934.
Your Biscuits Are Big Enough For Me by Bo Carter.