An Austrian composer, Mozart worked mainly in Vienna. His claim to fame is his command of musical form and the universal nature of his music.
American, Moore worked mainly in Cleveland. His claim to fame is through his two operas, The Devil and Daniel Webster, from 1938 and The Ballad of Baby Doe.
An Italian-American Composer, Menotti worked mainly in the US. His claim to fame are his numerous Operas.
Peter Schickele is an American composer, based mainly in the USA. His claim to fame are his numerous Parody works, which are incredibly amusing.