Composers matched with the trend or genre he's known for and their most famous piece. 
1. Schoenberg, Arnold D. serialism 
Piece - the orchestral version of "Transfigured Night" in 1899 
2. Cage, John C. chance music 
(Sonatas and Interludes) 
3. Steiner, Max A. film score 
Max Steiner won three Academy Awards for Best Original Score for “The Informer (1935)”, “Now, Voyager (1942)”, and “Since You Went Away (1944)”. 
4. Stravinsky, Igor B. primitivism 
(The Rite of Spring”)