That show was one of my favorites. It was on Sundays at 3pm Eastern. I think it preceded The Wide World of Sports on the schedule.
I do remember the Burt Reynolds episode. My favorite was the one with Bing Crosby and Phil Harris, goose hunting with Curt Gowdy in Canada....
Bing sings: "Oh Mr. Harris?
Phil replies: "Yes sir?
Bing: "Oh Mr. Harris?"
Phil: "Uh huh?
Bing: "We have come here way up north to get a goose..."
Phil: "That's right."
Bing: "And I do believe we'll get one...
Phil: "Yes?"
Bing: "If you'll fire when you see one..."
Phil: "I will."
Bing: "If you don't then we will simply cut you loose!"
Classic stuff.