As of the end of the 2015 championships Cork have won the All-Ireland Senior Hurling title 30 times. Only Kilkenny, with 36 titles, have more. In third place, on 26, is Tipperary. The years Cork won are as follows:
Cork have won the All-Ireland Senior Hurling final on 30 occasions.
Cork won the 1999 Hurling final and Meath won the 1999 Football final.
Kerry beat Cork in the football final and Kilkenny beat Tipperary in the hurling final.
Cork won the All-Ireland Hurling Final in 1941, 1942, 1943 and achieved 4 in a row by winning it again in 1944.
In Hurling, after Kilkenny, Cork have the second most All-Ireland Senior Hurling titles.
In 1999 Cork won the All-Ireland Senior Hurling final and Meath won the All-Ireland Senior Football final.
The reigning All-Ireland Senior Hurling Champions are Kilkenny, having won the final in September 2011. The Hurling final is normally played on the first Sunday in September.
Kerry won the 2009 All-Ireland Senior Football Final, beating Cork. Kilkenny won the 2009 All-Ireland Senior Hurling Final, beating Tipperary.
Kilkenny beat Cork in the 1983 All-Ireland Hurling final. Dublin beat Galway in the Football.
The All-Ireland Final is played in September each year. At the time of answering this question, Clare are the All-Ireland Hurling champions, having won the 2013 final, beating Cork in a replay.