Frogman,
Excellent comments. some of the most influential composers were certainly not the most popular (e.g.,Berg, Webern), particularly measured by current fashion.
I like the composers you mentioned, particularly Frank Martin (mainly for choral works) and Thomas Ades. I am a big fan of John Adams too (his violin concerto is one of the finest written).
There are so many that are worthy of being heard. My personal list of favorites include:
Tippett, Alwyn, Walton, Turnage, MacMillan, Lindberg, Tuur, Jongen, Olsson, Boulez, Dutilleau, Milhaud, Durufle, Varese, Boulez, Gubaildulina, Myaskovsky, Tubin, Penderecki, Zemlinksy, Enescu, Dohnanyi, Penderecki, Ligeti, Nono, Bloch, Ruggles, Babbitt, Ives, Beach, Crawford Seeger.
Some that either did very few works or specialize in just certain forms that I like are Whitacre (vocal works) and Partch (Delusions of the Furies being a personal favorite).