| 1960 | Music for Organ and Brass: Canzonas of Gabrieli and Frescobaldi | Gabrieli, Frescobaldi; E. Power Biggs, The Boston Brass Ensemble, Richard Burgin | 1 |
| 1994 | Fire in the Chamber | The Boston Brass Ensemble | 1 |
| 2000 | Stealing the Show | The Boston Brass Ensemble | 1 |
| 2000 | Ya Gotta Try | The Boston Brass Ensemble | 1 |
| 2008 | Latin Nights | The Boston Brass Ensemble | 1 |
| 2023 | Joe's Tango: Concerto for Trombone & Other Works | Hugo Montenegro, Chick Corea, Jorge Machain; University of Nevada Las Vegas Wind Orchestra, Thomas G. Leslie, Joseph Alessi, The Boston Brass Ensemble | 1 |
