Benjamin Britten: Nocturnal
William Walton: Five Bagatelles
Heitor Villa-Lobos: Five Preludes, Twelve etudes, Suite Populaire Bresilienne
A lot depends on how you opt to define "major composers". If you are looking for the Great European Big Names, you will be frustrated quickly. But if you consider a "major composer" to be one who showed fluency and competence in writing music for a variety of forms and contexts, then your list expands pretty quickly.
Salt Lake City, UT
It's called "Facebook" because "Narcissistbook" was too hard to spell.