Who sings: "tears are falling down and the band played on, even though our love is gone...the BAND played on"

Answer 1

There are several choices for this. Many songs have close names without the tears reference, by Bruce Springsteen, Simple Minds, and the famous Waltzing Matilda.

But this is the version that's closest:

The Band Played On
music and words by Saiichi Sugiyama; additional words by Pete Brown


Won’t you play me a song she used to sing
Remind me of the days now so far away
Where did we go wrong? What have you done?
What took so long was gone in a day

Above the clouds of fire, he saw her light come shining through
From the tower of smoke, he held her hand and he flew

And the Band played on in the dark, till the dawn
The Band played on until the morning, when the night was gone

I woke up one morning into a bad dream
My heart turned to stone, what could I do?
Tears in their eyes were telling no lie
I was watching a world breaking in two

In the rush of water, she thought she heard the ghost of love
Reaching for the clear blue sky, she spreads her wings like a dove

And the Band played on in the dark, till the dawn
The Band played on until the morning, when the night was gone

And the Band played on through the tears amid the roars
The Band played on until the sunrise, when the fear’s no more

Answer 2

Could it be, And the band plays on, from a film called, Casey would dance with a strawberry blond, and the band played on.
Sorry that was not the song.