[5] His winning numerous performance awards and prizes has enabled him to perform all over Europe, Asia, North America and South America in important concert halls including the National Philharmonic in Warsaw, Poland, the Concertgebouw Music Hall in Amsterdam, the Netherlands, the Salle Pleyel in Paris, France, and the Stadt Casino in Basel, Switzerland, the Tokyo University of the Arts in Tokyo, Japan, and the Accademia di Santa Cecilia in Rome, Italy.

He has performed at numerous Frédéric Chopin societies around the world in cities such as Rome, Paris, Vienna, Toronto, Basel, Tokyo, Detroit, Warsaw, Singapore, Buenos Aires and Duszniki Zdrój.

The San Diego Art's music critic wrote that "his dynamic range is phenomenal" and that he has an "ability to play things at supernatural velocity without making a single mistake.

Vnukowski is the recipient of grants from the Canada Council for the Arts and other foundations for promoting the works of exiled composers such as Szymon Laks, Władysław Szpilman, Viktor Ullmann, and Józef Koffler.

Vnukowski recorded the recently published piano concerto of Józef Koffler together with Sinfonia Iuventus Orchestra conducted by Christoph Slowinski, which was released on the EDA label in 2017.

[28] In January 2019, he released an album featuring the solo piano works of Karol Rathaus on the Toccata Classics Label, which was called a "crucial addition to the library of anyone interested in interwar German music" by Fanfare Magazine.