- His song and instrumental compositions include "A Night in Tunisia", "Woody'n You", "Ow", "Groovin' High", "Tour de Force", "Con Alma", "Fais Gaffe", "This Is the Way", "Manteca", "Lorraine", "Anthropology", "Cool World", "Double Six of Paris", "Something Old, Something New", and "Swing Low, Sweet Cadillac".
- Album (with 'Fathead' Newman Jr.'): "The Weapon/Dizzy at Home and Abroad"
- Album: "Closer to the Source", 1983.
- CD: "The Giants of Jazz" (Columbia) (2-disc set)
- CD: "Greatest Hits Series" (RCA)
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