He signed to Decca Records in 1991, with a debut recording of Gershwin's piano concerto in F with the Royal Philharmonic Orchestra and Vladimir Ashkenazy, followed by Rachmaninoff's Rhapsody on a Theme of Paganini, Lutoslawski's Paganini Variations, and Shostakovich's concerto no.1 for piano and trumpet, again with the RPO and Ashkenazy - for which he won an Edison award.
Other recordings include the complete piano sonatas by Prokofiev, and albums dedicated to Chopin, Liszt, Mussorgsky, Mozart, Stravinsky, Szymanowski and Grieg.
[3] In 2021, Jablonski's recording of the works by a Russian composer Alexey Stanchinsky, also for Ondine, has been warmly accepted both by audiences and critics, earning him the Gramophone Editor's Choice in May 2021.
[4] In 2022, the artist embarked on his project of performing and recording the piano music of Grażyna Bacewicz (1909-1969), who takes her place among major Polish composers of her generation.
Patrick Rucker's review concluded that the release introduced '...Music by important woman composer, played by a pianist in full flower of his mature, imaginative artistry.