Buchbinder studied with Bruno Seidlhofer at the Vienna Academy of Music.
In 1965 he made a tour of North and South America. Subsequently he has toured with the Vienna Philharmonic and appeared as soloist around the world. He has also taught piano at the Basel Academy of Music.
For the Teldec label he has recorded the complete keyboard music of Joseph Haydn, all the Beethoven piano sonatas and variations, and both Brahms piano concertos with Harnoncourt and the Royal Concertgebouw Orchestra of Amsterdam. With János Starker, he recorded memorable performances of works for cello and piano by Beethoven and Brahms. He has twice recorded the Beethoven Piano Concertos conducting from the keyboard, first with the Vienna Symphony Orchestra for the Preiser label in 2007, and then with the Vienna Philharmonic for the Sony label in 2011.
This cycle was recorded live in concert and released on both CD and DVD. He is probably the only person to have ever recorded the entire Part II of Vaterländischer Künstlerverein, which consists of 50 variations by 50 different composers on a waltz by Anton Diabelli. He has also recorded Beethoven's Diabelli Variations, which originally comprised Part I of that anthology. In 2009, Buchbinder was featured in the award-winning German-Austrian documentary Pianomania, about a Steinway & Sons piano tuner, which was directed by Lilian Franck and Robert Cibis.
The film premiered theatrically in North America, where it was met with positive reviews by The New York Times, as well as in Asia and throughout Europe, and is a part of the Goethe-Institut catalogue. 1961: First Prize at the International Competition in Munich, division "Piano Trio".
1992 Honorary Member of the Vienna Symphony
1994: Honorary Member of the Carinthian Summer
2008: Honorary Member of the Society of Friends of Music in Vienna.
Married Agnes Rado, December 30, 1965. Children: Susan, Michael.