Ring, ring de banjo,
I lub dat dear old song... (as originally 'spelled')

The Band Played 'Waltzing Matilda'
The Old Songs (Margaret MacArthur sang that one a lot)
Roseville Fair
Just Before the Battle, Mother (the last verse mentions 'Battle Cry of Freedom' -- a plug, because the same guy wrote both songs!)
Say, Old Man, Can You Play the Fiddle?
And probably (certainly) lots more that don't come to mind just now.

But my favorite of this kind of song is "Odd-Fellows' Hall" with the chorus of:

Waltzes, polkas, lancers, gallops, glides,
Porland fancies, quadrilles, reels and slides;
Hidos, Didos, oh we danced them all...
I'll never forget the night that we met
Down at Odd-Fellows' Hall.

Admittedly, those are dance styles, not song titles or references to songs, but, well, you don't dance to the spoken word, do you?

Bob