Why is the movie called And band played on?

The movie you're referring to is called "The Band Played On". It's a 1993 HBO film about the early days of the AIDS epidemic in the United States.

The title comes from a line in the song "As Time Goes By", which was made famous by the film "Casablanca" (1942). The lyrics are:

> "You must remember this, a kiss is still a kiss,

> A sigh is just a sigh.

> The fundamental things still apply,

> As time goes by."

The film "The Band Played On" uses this line ironically. It's a poignant reminder that life continued as normal for many people, while the AIDS epidemic was spreading and causing immense suffering. The "band played on" even as people were dying, reflecting the initial denial and complacency of the government and medical establishment in the face of this new and deadly disease.