
Cowboy Bebop
By Watanabe, Shinichirou, Nanten, Yutaka
Spike, Jet, Faye and Ed—cowboys on the new frontier. Together this band of interplanetary bounty hunters takes on the jobs that anyone in their right mind would turn down. (Source: Tokyopop)
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Cowboy Bebop is based on the manga "Cowboy Bebop" — 11 chapters, 3 volumes. The manga is complete. By Watanabe, Shinichirou.

By Watanabe, Shinichirou, Nanten, Yutaka
Spike, Jet, Faye and Ed—cowboys on the new frontier. Together this band of interplanetary bounty hunters takes on the jobs that anyone in their right mind would turn down. (Source: Tokyopop)
Yes — the manga "Cowboy Bebop" runs 11 chapters and is complete. There are 2 related works total.
The exact chapter depends on which season you've finished. Most anime seasons cover 30-50 chapters of source material. Check the manga page for "Cowboy Bebop" on AnimePulse for specifics.
Both approaches work. Starting from chapter 1 gives you the complete experience with all the details the anime might have skipped. Jumping to where the anime left off saves time if you just want to continue the story.
Our manga after anime hub has guides for hundreds of titles. You can also check out our best manga by genrelists if you're looking for something new to read.

Shooting Star Bebop: Cowboy Bebop
By Kuga, Cain
Kai Lucas hires the Bebop crew to find his mischievous doppelganger, but the bounty goes bust and Spike and Jet once again find themselves broke - and hungry. And to add to their woes, Spike ends up mysteriously on the police's most wanted list, either the butt of a joke or the victim of a severe computer glitch. But what's worse, being targeted...
Honestly, starting from chapter 1 is the ideal experience. Authors structure their manga differently than studios structure an anime, and you'll often notice foreshadowing and character moments the adaptation glossed over. But if you're impatient (no judgment), picking up where the show left off works.