So many great ballets are choreographed to music not originally written for dance. On Friday I attended an all Balanchine evening including:

Concerto Barocco to Bach's Concerto for Two Violins
Stravinsky Violin Concerto
Symphony in C to Bizet
Also on the bill was the Tchaikovsky Pas de Deux a tour de force set to music found in the appendix to the score for Swan Lake.

In each case the dance adds a new element to the music.