Kónya has performed in all the Hungarian Early Music Festivals: Early Music Week Sopron, Budapest Baroque Festival, East-European Early Music Festival, Dutch-Hungarian Baroque Music Festival, Early Music Forum Budapest, British Early Music Festival (Budapest), Artistic Days of Zemplén, Savaria Carnival and Gödöllő Baroque Days. He is a frequent guest at the Spring, Summer and Autumn Festivals of the Provinces. He gave recitals in most of the major Hungarian cities and in the prominent castles (Gödöllő Royal Palace, Fertőd Esterhazy Castle, and Buda Royal Castle). His numerous concert performances included Händel's Orlando with the Budapest Chamber Opera (cond. Philipp Pickett), Purcell's Dido and Aeneas (cond. Catharine Mackintosh) at the Budapest Spring Festival, Purcell's Fairy Queen and King Arthur, and Charpentier's Acteon with the Orfeo Orchestra (cond.György Vashegyi) at the Academy of Music in Budapest. He also has appeared as a solist with the Tomkins Vocal Consort at the Budapest Spring Festival and with Csaba Király (organ) in the Mathias Church with an organ-baroquelute concert (Bach & Weiss).
		He performed all of Monteverdi operas with the Budapest Chamber Opera and Capella Savaria in the Monteverdi Opera Festival, and also played with Concerto Armanico (cond. Péter Szűts) at the French Baroque Music Festival (Budapest), with the Hungarian Radio Orchestra (cond. Tamás Vásáry) in The Messiah by Händel, with Budapest Chamber Opera by Monteverdi: Poppea and Vivaldi:Il Tigrane baroque operas at St. James' Piccadilly in London.

Besides his recital engagements in Hungary, Mr. Kónya has appeared at many prestigous festivals abroad with leading ensembles, including Capella Leopoldina Graz and Armonico Tributo Austria at the Styriarte Festival (Austria), Concerto Piccolo Vienna at the International Organ Festival in Zwettl, Utrecht's Barock (Amsterdam, Utrecht); Ensemble Gloriant (Bremen, Leiden, Rotterdam), Orchestra Sweelinck (Amsterdam), Koninklijk Conservatorium Orchestra (The Hague), Croatian Radio Chor and Croaitian Baroque Ensemble (Zagreb), Ensemble Responsoriom at the Danube Festival (Austria) and at Istria Festivals (Croatia), Collegium Musicum Fluminense (Rijeka), Ensemble Antiqua Ruhr (Italy), and le"Petit Consort" (Paris).

In 2000 Mr. Kónya has launched several solo series in Budapest introducing the solo and chamber repertoire of the lute. Since Summer 2002 he has had a monthly concert series in the Buda Royal Castle, performing the unknown pearls of the Hungarian, Italian, English, French, German, Austrian, and Eastern-European renaissance and baroque music. He has collaborated with distinguished singers and instrumentalists, including Timothy Bentch (tenor), Mária Zádori and Ildikó Hajnal/Holland/(soprano), László Paulik (baroque violin), Miklós Spányi (organ, harpsichord), Bernard Loonen/Holland, Ludy Vrijdag/Holland (tenor), Lúcia Krommer (viol/ viola da gamba) and Gábor Prehoffer (recorder).
In 2002 he participated in two international tourist exhibitions introducing Hungarian renaissance music in Norway and Switzerland. He made his recital debuts in the United States with Timothy Bentch (tenor) in 2003 with great success. In 2004 with his hungarian renaissance chamber program he visited several cities in abroad (Berlin, Stuttgart, Prague, Tallin, Sophia). In 2004 he took part in the Estonian Early Music Festival (Tallin) with two solo recitals, in 2006 with a chamber program at Tarnow Festival (Poland) and at the International Organ Festival in Pula (Croatia).
He made numerous radio and television records, participated several CDs, and also released two solo albums, "Lute Music from Three Centuries" (2000) and "S.L.Weiss: Lute Suites" (2002)