Well, since I am Czech, I could mention the pieces everybody plays here, but not everyone knows abroad.
Janáček - On an overgrown path - books 1 and 2
Janáček - In the mists
Janáček - Sonáta I.X. 1905
Smetana - Czech Dances
Smetana - Concert etude g sharp minor "On the sea shore"
Smetana - Concert etude C major
Smetana - Fantasy on Czech folksongs
Dvořák - Silhouettes
Dvořák - Piano concerto g minor op.33
Kabeláč - 8 preludes op. 30
Novák - Vzpomínky op.6 -> Triste, Inquieto, Amoroso
Novák - Sonáta Eroica op.24
Novák - Ballade op.2 e minor "Manfred"
Lol that was some of the czech music

Some may not be romantic, but are generally played as romantic pieces.