Temporada 1 de Cowboy Bebop, com 26 episódios, estreou em 03/04/1998.
T1 E1Stray dog strut 03/04/1998
T1 E2Honky tonk women 10/04/1998
T1 E3Heavy Metal Queen 17/04/1998
T1 E4Waltz for Venus 24/04/1998
T1 E5Jamming with Edward 01/05/1998
T1 E6Ganymede Elegy 08/05/1998
T1 E7Toys in the attic 15/05/1998
T1 E8Jupiter Jazz (1) 22/05/1998
T1 E9Jupiter Jazz (2) 29/05/1998
T1 E10Bohemian rhapsody 05/06/1998
T1 E11My funny valentine 12/06/1998
T1 E12Speak like a child 19/06/1998
T1 E13Asteroid blues 24/10/1998
T1 E14Gateway Shuffle 14/11/1998
T1 E15Ballad of Fallen Angels 21/11/1998
T1 E16Sympathy for the devil 28/11/1998
T1 E17Black Dog Serenade 13/02/1999
T1 E18Mushroom samba 20/02/1999
T1 E19Wild horses 06/03/1999
T1 E20Pierrot le Fou 13/03/1999
T1 E21Boogie woogie feng shui 20/03/1999
T1 E22Cowboy funk 27/03/1999
T1 E23Brain scratch 03/04/1999
T1 E24Hard luck woman 10/04/1999
T1 E25The Real Folk Blues (1) 17/04/1999
T1 E26The Real Folk Blues (2) 24/04/1999