Not a composer as such, and not really film music either, but something interesting nonetheless. A traditional story (earliest recorded mention late-Tang) with different traditional melodies attached (depending on the regional variation), but given its defintive form in 1958 as the Butterfly Lovers Violin Concerto. The concerto has a definite filmic feel to it, and was probably much influenced by the western film music composers of the 1930s-50s. The story has been made into films a number of times since, most notably by Tsui Hark.

The Butterfly Lovers Violin Concerto wiki entry
The Butterfly Lovers Violin Concerto, 1st movement
A scene from The Lover, Tsui Hark's film adaptation of the story