| Disc 1 |
| 1 | Launching Pad (1999) | | 7:26 |
| 2 | Main Stem (1999) | | 2:52 |
| 3 | Mood Indigo (1999) | | 3:09 |
| 4 | Never No Lament (Don’t Get Around Much Anymore) (1999) | | 3:09 |
| 5 | Oclupaca (From Latin American Suite) (1999) | | 4:37 |
| 6 | Rockabye River (1999) | | 2:44 |
| 7 | Portrait of Louis Armstrong (From New Orleans Suite) (1999) | | 3:09 |
| 8 | Sophisticated Lady (1999) | | 3:45 |
| Disc 2 |
| 1 | Anitra’s Dance (From Peer Gynt Suite) (2000) | | 2:57 |
| 2 | Concerto for Cootie (2000) | | 3:48 |
| 3 | Perdido (2000) | | 4:35 |
| 4 | The Mooche (2000) | | 3:39 |
| 5 | The Peanut Vendor (2000) | | 5:10 |
| 6 | The Shepherd (Who Looks Over the Night Flock) (2000) | | 7:39 |
| 7 | Star‐Crossed Lovers (From Such Sweet Thunder) (2000) | | 3:51 |
| Disc 3 |
| 1 | Blue Cellophane (2001) | | 3:04 |
| 2 | Blue Feeling (2001) | | 3:33 |
| 3 | I Let a Song Go Out of My Heart (2001) | | 2:59 |
| 4 | Pyramid (2001) | | 3:10 |
| 5 | Rocks in My Bed (2001) | | 4:05 |
| 6 | Rumpus in Richmond (2001) | | 2:34 |
| 7 | Almost Cried (From Anatomy of a Murder) (2001) | | 2:23 |
| 8 | Tutti for Cootie (2001) | | 6:13 |
| Disc 4 |
| 1 | All Heart (2002) | | 3:34 |
| 2 | It Don’t Mean a Thing (If It Ain’t Got That Swing) (2002) | | 3:32 |
| 3 | Raincheck (2002) | | 2:29 |
| 4 | Such Sweet Thunder (2002) | | 3:08 |
| 5 | Sultry Sunset (2002) | | 3:21 |
| 6 | The Eighth Veil (2002) | | 2:54 |
| 7 | Things Ain’t What They Used to Be (2002) | | 3:00 |
| 8 | Zweet Zursday (2002) | | 3:46 |
| Disc 5 |
| 1 | Caravan (2003) | | 2:57 |
| 2 | Harlem Airshaft (2003) | | 2:56 |
| 3 | I’ve Just Seen Her (2003) | | 5:16 |
| 4 | Jump for Joy (2003) | | 2:53 |
| 5 | Ko‐Ko (2003) | | 2:39 |
| 6 | Kinda Dukish / Rockin’ in Rhythm (2003) | | 5:34 |
| Disc 6 |
| 1 | Bli‐Blip (2004) | | 3:05 |
| 2 | Diminuendo and Crescendo in Blue (2004) | | 10:06 |
| 3 | Jack the Bear (2004) | | 3:20 |
| 4 | Stompy Jones (2004) | | 5:58 |
| 5 | Rhapsody in Blue (2004) | | 6:16 |
| 6 | Sugar Rum Cherry (2004) | | 3:10 |
| Disc 7 |
| 1 | Happy‐Go‐Lucky Local (2005) | | 5:24 |
| 2 | I Didn’t Know About You (2005) | | 4:16 |
| 3 | Isfahan (2005) | | 4:20 |
| 4 | Purple Gazelle (2005) | | 3:09 |
| 5 | Ring Dem Bells (2005) | | 2:40 |
| 6 | V.I.P.’s Boogie (2005) | | 3:21 |
| Disc 8 |
| 1 | Across the Track Blues (2006) | | 3:09 |
| 2 | All Too Soon (2006) | | 4:12 |
| 3 | Idiom ’59 – Part II (2006) | | 4:30 |
| 4 | Braggin’ in Brass (2006) | | 2:52 |
| 5 | I’m Just a Lucky So and So (2006) | | 3:40 |
| 6 | Latin American Sunshine (From Latin American Suite) (2006) | | 6:55 |
| Disc 9 |
| 1 | Flaming Sword (2007) | | 3:48 |
| 2 | Jumpin’ Punkins (2007) | | 3:55 |
| 3 | Old Man Blues (2007) | | 3:17 |
| 4 | Joe Avery’s Blues (2007) | | 4:18 |
| 5 | Sophisticated Lady (2007) | | 4:06 |
| 6 | C Jam Blues (2007) | | 7:16 |
| Disc 10 |
| 1 | Blue Serge (2008) | | 3:43 |
| 2 | Jam‐A‐Ditty (2008) | | 3:15 |
| 3 | Theme (From the Asphalt Jungle) (2008) | | 4:03 |
| 4 | The Mooche (2008) | | 3:26 |
| 5 | Don’t Get Around Much Anymore (2008) | | 2:24 |
| 6 | Blue Ramble (2008) | | 3:34 |
| Disc 11 |
| 1 | Again and Again (2009) | | 5:31 |
| 2 | Jeep’s Blues (2009) | | 4:31 |
| 3 | Moon Over Cuba (2009) | | 5:27 |
| 4 | Movin’ Uptown (From Echoes of San Juan Hill) (2009) | | 5:25 |
| 5 | Perdido (2009) | | 4:16 |
| 6 | Symphony in Riffs (2009) | | 4:58 |
| Disc 12 |
| 1 | Tippin’ on the Q.T. (2011) | | 6:20 |
| 2 | Concerto for Cootie (2011) | | 3:22 |
| 3 | Rockin’ in Rhythm (2011) | | 6:48 |
| 4 | Portrait of Lois Armstrong (From New Orleans Suite) (2011) | | 4:58 |
| 5 | Black and Tan Fantasy (2011) | | 8:51 |
| 6 | Every Day (I Have the Blues) (2011) | | 8:06 |
| Disc 13 |
| 1 | Royal Garden Blues (2013) | | 3:17 |
| 2 | Echoes of Harlem (2013) | | 3:34 |
| 3 | Bonga (2013) | | 3:14 |
| 4 | Lightnin’ (2013) | | 3:14 |
| 5 | Blood Count (2013) | | 4:24 |
| 6 | The Second Line (From New Orleans Suite) (2013) | | 5:52 |
| Disc 14 |
| 1 | Chinoiserie (From the Afro‐Eurasian Eclipse) (2014) | | 4:43 |
| 2 | Dissonance in Blues (2014) | | 3:20 |
| 3 | Teri (2014) | | 3:06 |
| 4 | Uptown Downbeat (2014) | | 3:38 |
| 5 | Perdido (2014) | | 5:30 |
| 6 | Flirtibird (From Anatomy of a Murder) (2014) | | 2:19 |
| 7 | I Like the Sunrise (From the Liberian Suite) (2014) | | 4:36 |
| 8 | Nancy Jo (2014) | | 2:53 |
| Disc 15 |
| 1 | Bourbon Street Jingling Jollies (From New Orleans Suite) (2015) | | 4:04 |
| 2 | Brasilliance (From Latin American Suite) (2015) | | 3:55 |
| 3 | Chelsea Bridge (2015) | | 3:00 |
| 4 | Cotton Club Stomp (2015) | | 2:50 |
| 5 | Memphis Blues (2015) | | 2:56 |
| 6 | Total Jazz (2015) | | 3:31 |
| Disc 16 |
| 1 | Magnolias Dripping With Molasses (2016) | | 4:45 |
| 2 | Down South Camp Meeting (2016) | | 3:19 |
| 3 | Laura (2016) | | 4:19 |
| 4 | Christopher Columbus (2016) | | 3:00 |
| 5 | St. Louis Blues (2016) | | 2:56 |
| 6 | Blue Goose (2016) | | 3:11 |
| Disc 17 |
| 1 | Carnegie Blues (2017) | | 2:40 |
| 2 | So Easy (2017) | | 2:42 |
| 3 | Sugar Hill Penthouse (2017) | | 4:55 |
| 4 | Stay on It (2017) | | 3:11 |
| 5 | If You Could See Me Now (2017) | | 3:13 |
| 6 | Dameron Stomp (2017) | | 3:09 |
| 7 | Bojangles (2017) | | 2:55 |
| 8 | East St. Louis Toodle‐Oo (2017) | | 3:21 |
| Disc 18 |
| 1 | Banquet Scene (From Timon of Athens) (2018) | | 2:19 |
| 2 | Blue Minor (2018) | | 3:12 |
| 3 | Harlem Congo (2018) | | 3:20 |
| 4 | I Ain’t Got Nothin’ but the Blues (2018) | | 5:13 |
| 5 | Lindy Hopper’s Delight (2018) | | 2:46 |
| 6 | Liza (All the Clouds’ll Roll Away) (2018) | | 2:36 |
| 7 | Ready, Go! (2018) | | 6:23 |
| 8 | The Sheik of Araby (2018) | | 3:20 |
| Disc 19 |
| 1 | Afro‐Bossa (Bula) (2019) | | 4:32 |
| 2 | Blues to Be There (2019) | | 6:28 |
| 3 | Bugle Call Rag (2019) | | 3:18 |
| 4 | Little Karin (2019) | | 3:56 |
| 5 | Solid Old Man (2019) | | 3:41 |
| 6 | Stablemates (2019) | | 4:22 |
| 7 | Straw Boss (2019) | | 8:22 |
| 8 | Whisper Not (2019) | | 5:11 |
| Disc 20 |
| 1 | Caravan (2021) | | 3:35 |
| 2 | Cotton Tail (2021) | | 3:25 |
| 3 | Harlem Airshaft (2021) | | 2:54 |
| 4 | I Got It Bad (And That Ain’t Good) (2021) | | 3:08 |
| 5 | Isfahan (2021) | | 4:09 |
| 6 | Rockin’ in Rhythm (2021) | | 5:50 |
| Disc 21 |
| 1 | Black Butterfly (2022) | | 3:04 |
| 2 | Blue and Sentimental (2022) | | 3:19 |
| 3 | Trombonio‐Bustoso‐Issimo (aka “Trombone Buster”) (2022) | | 4:07 |
| 4 | Good Morning Blues (2022) | | 3:05 |
| 5 | Blue Room (2022) | | 3:17 |
| 6 | Topsy (2022) | | 3:12 |
| Disc 22 |
| 1 | Blues a La Machito (2023) | | 3:13 |
| 2 | Chloe (Song of the Swamp) (2023) | | 3:34 |
| 3 | Congo Mulence (2023) | | 3:05 |
| 4 | Fancy Dan (2023) | | 4:37 |
| 5 | Kenya (2023) | | 3:50 |
| 6 | Oyeme (2023) | | 3:30 |
| 7 | Portrait of Sidney Bechet (2023) | | 4:10 |
| 8 | Just Scratchin’ the Surface (2023) | | 2:57 |
| Disc 23 |
| 1 | Addi (2024) | | 3:50 |
| 2 | Boo‐Dah (2024) | | 3:14 |
| 3 | Exposition Swing (2024) | | 3:20 |
| 4 | The Giddybug Gallop (2024) | | 3:53 |
| 5 | Golden Cress (2024) | | 3:04 |
| 6 | Miss Lucy (2024) | | 3:18 |
| 7 | Rent Party Blues (2024) | | 3:41 |
| 8 | Silk Lace (2024) | | 2:43 |
| Disc 24 |
| 1 | Aristocracy À La Jean Lafitte (From New Orleans Suite) (2025) | | 4:12 |
| 2 | Black Beauty (2025) | | 3:19 |
| 3 | Blues for New Orleans (From New Orleans Suite) (2025) | | 8:10 |
| 4 | Elegy to a Man (2025) | | 4:58 |
| 5 | Mullenium (2025) | | 8:01 |
| 6 | The Opener (2025) | | 2:49 |
| 7 | Thruway (2025) | | 8:29 |
| 8 | Thanks for the Beautiful Land on the Delta (From New Orleans Suite) (2025) | | 3:49 |
| 9 | What Am I Here For? (2025) | | 3:36 |
