1963 The Chieftains
1969 The Chieftains 2
1971 The Chieftains 3
1973 The Chieftains 4
1975 The Chieftains 5
1976 The Chieftains 6: Bonaparte's Retreat
1977 The Chieftains 7 The Chieftains Live!
1978 The Chieftains 8
1979 The Chieftains 9: Boil the Breakfast Early
1980 The Chieftains 10: Cotton-Eyed Joe
1982 The Year of the French The Grey Fox (soundtrack)
1983 Concert Orchestra
1985 The Chieftains in China
1986 Ballad of the Irish Horse