In recital, he plays a great deal of 20th century music, but his discography has been devoted almost exclusively to older works. At the Vienna Academy of Music, Buchbinder studied with Bruno Seidlhofer.
In 1965, before he'd turned 20, he toured North and South America, and the following year he won a special prize at the Van Cliburn Competition (although he failed to take first, second, or third place). This significantly raised Buchbinder's profile and soon he was touring with the Vienna Philharmonic. He spent the following years as a touring soloist in recital and with orchestras in Europe and the United States. In 1975, he toured the U.S. and Japan with the Vienna Symphony Orchestra, Vienna's "other" orchestra, and continued to serve as the group's drawing card on tours through the 1990s.
He recorded all of the Mozart piano concertos with that orchestra, doubling as conductor. Meanwhile, Buchbinder has also taught piano at the Basel Academy of Music. Concert dates for the 2010-2011 season included stops in Dresden, Madrid, Milano, and Paris. Releases include a DVD of Mozart piano concertos (2006) and CDs of Brahms piano concertos and Beethoven piano concertos.