completing one from above and adding a couple:
"I'd walk a mile for a mild, mild, Camel, they're so mild they suit you to a 'T'"

"Luckies taste better, cleaner, fresher, SMOOTHer" (kinda chanted, rather than sung)

and the Jello jingle, written especially for Fanny Bryce on the "Baby Snooks Show" as far as I know..to approximately the tune of "The Hinky-Dinky Spider"

"Oh, the big red letters stand for the Jello fam-i-ly,
The big red letters stand for the Jello fam-i-ly..
Strawberry, Raspberry, Cherry, Orange, Lemon & Lime!
My Daddy LIKES it!"