In 2071, roughly fifty years after an accident with a hyperspace gateway made the Earth almost uninhabitable, humanity has colonized most of the rocky planets and moons of the Solar System. Amid a rising crime rate, the Inter Solar System Police (ISSP) set up a legalized contract system, in which registered bounty hunters (also referred to as "Cowboys") chase criminals and bring them in alive in return for a reward.
 | Season 1 Episode 1 Asteroid Blues Air Date: 1998-10-24 Duration: 30 min |
 | Season 1 Episode 2 Stray Dog Strut Air Date: 1998-10-31 Duration: 30 min |
 | Season 1 Episode 3 Honky Tonk Women Air Date: 1998-11-07 Duration: 30 min |
| Season 1 Episode 4 Gateway Shuffle Air Date: 1998-11-14 Duration: 30 min |
| Season 1 Episode 5 Ballad of Fallen Angels Air Date: 1998-11-21 Duration: 30 min |
| Season 1 Episode 6 Sympathy for the Devil Air Date: 1998-11-28 Duration: 30 min |
| Season 1 Episode 7 Heavy Metal Queen Air Date: 1998-12-05 Duration: 30 min |
| Season 1 Episode 8 Waltz for Venus Air Date: 1998-12-12 Duration: 30 min |
| Season 1 Episode 9 Jamming with Edward Air Date: 1998-12-19 Duration: 30 min |
| Season 1 Episode 10 Ganymede Elegy Air Date: 1998-12-26 Duration: 30 min |
| Season 1 Episode 11 Toys in the Attic Air Date: 1999-01-02 Duration: 30 min |
| Season 1 Episode 12 Jupiter Jazz (part 1) Air Date: 1999-01-09 Duration: 30 min |
| Season 1 Episode 13 Jupiter Jazz (part 2) Air Date: 1999-01-16 Duration: 30 min |
| Season 1 Episode 14 Bohemian Rhapsody Air Date: 1999-01-23 Duration: 30 min |
| Season 1 Episode 15 My Funny Valentine Air Date: 1999-01-30 Duration: 30 min |
| Season 1 Episode 16 Black Dog Serenade Air Date: 1999-02-13 Duration: 30 min |
| Season 1 Episode 17 Mushroom Samba Air Date: 1999-02-20 Duration: 30 min |
| Season 1 Episode 18 Speak Like a Child Air Date: 1999-02-27 Duration: 30 min |
| Season 1 Episode 19 Wild Horses Air Date: 1999-03-06 Duration: 30 min |
| Season 1 Episode 20 Pierrot le Fou Air Date: 1999-03-13 Duration: 30 min |
| Season 1 Episode 21 Boogie Woogie Feng Shui Air Date: 1999-03-20 Duration: 30 min |
| Season 1 Episode 22 Cowboy Funk Air Date: 1999-03-27 Duration: 30 min |
| Season 1 Episode 23 Brain Scratch Air Date: 1999-04-03 Duration: 30 min |
| Season 1 Episode 24 Hard Luck Woman Air Date: 1999-04-10 Duration: 30 min |
| Season 1 Episode 25 The Real Folk Blues (Part I) Air Date: 1999-04-17 Duration: 30 min |
| Season 1 Episode 26 The Real Folk Blues (Part II) Air Date: 1999-04-24 Duration: 30 min |
| Directing | Shinichiro Watanabe | Director |
| Sound | Yoko Kanno | Music |
| Production | Kazuhiko Ikeguchi | Producer |
| Production | Masahiko Minami | Producer |
| Sound | Katsuyoshi Kobayashi | Sound Director |
