Well, Scriabin is amazing. From the op 11 Preludes(published a little after 1895 I think), to the op 74 preludes, you have lots to love.
I also am a bit of Medtnerian. Forgotten Melodies Book 1 and 2 as sets are indispensable for me. I also dearly love the G minor sonata and many Skazki.
Hindemith's Ludus Tonalis was composed at just the end of this allotted time period and for me is also an important work. The Shostakovich Prelude and Fugues I like even more, but they come just after. However young Shostakovich wrote those 3 fantastic dances which I like.
As for Schoenberg, I really like his op 19 set of miniatures. Op 25 I also find interesting, but with most of his music I feel like I'd want to play it myself to understand it.
Faure actually lived quite long and wrote some beautiful haunting and strange late Barcarolles and Nocturnes in the first two decades of the 20th century. Barcarolle 9 and Nocturne 13 are particular favorites of mine.
I have liked a lot of Poulenc I've heard but can't listen specific pieces.