Alexander Fiseisky has become one of Russia's premier and most influential organ recitalists, and has gained strong international recognition and acclaim having played in over 30 countries.
He has made something of a speciality of playing the complete works of Bach (in a cycle of 16 concerts) in 14 cities across the Former Soviet Union (once travelling 90,000 miles for one series) and a complete historical anthology of organ music (in 18 concerts) on several occasions, and an anthology of Russian music (in 2 concerts).

He has participated in and been a feature artist in many festivals in Russia and worldwide. Being the official organ soloist of the Moscow State Philharmonic Society he has played with many orchestras, instrumentalists, and singers. Also a significant number of works (some dedicated to him) have been premiered by him.

Many recordings have been made in Russia and Europe on records, CD, and radio and TV.
He has given lectures and master classes at many prestigious institutes and festivals, and been a juror of several international organ competitions, including twice at St Albans.

He has produced a scholastic edition of Russian organ music. In 1996 in Britain he gave the opening recital of the Gesellschaft der Orgelfreunde annual summer congress in Sheffield City Hall, and gave major recitals at St Giles' Cathedral, Edinburgh, and York Minster, to great acclaim. He also gave a very special, and quite hilarious, children's recital at Dunblane Cathedral as a gift to the children, families, and town after their great tragedy of the massacre of their innocents. In early November 1996 he gave the UK première of Mirzoyev's Organ Symphony at Westminster Abbey, where he also recorded the work, and gave the USA première in Washington National Cathedral in May 1997. In July 1997 he played to half a million people at Fatima.

Alexander Fiseisky continues to be nationally involved in organ matters in the Russian Federation, organising a number of special festivals, and now strongly advocating the introduction of the best modern English cathedral organ tradition. The first such organ, of 63 stops and 4 manuals, was inaugurated in October 1995 in the Russian Gnessins' Academy of Music in Moscow (where he is Head of the Department of Organ Studies) to quite rapturous acclaim in a long and stunning concert, separated by a grand reception.