Cowboy Bebop can't be defined as a simple "anime". It's a real work of art. It has been carried out by an important cast of all-stars that has realized a lot of other projects and anime, like Gundam 0083 and Macross Plus.
It's set in a future (A.D. 2071) where earth's population has escaped to space. The story narrates in 26 sessions the adventures of the spaceship Bebop and of his crew of bounty hunters. The main character is Spike Spiegel, followed by Jet Black; during the various sessions will also join the crew Faye Valentine, Ed and the dog Ein.
The style of the anime is unforgettable. The design is wonderful, and there is a lot of functional computer-graphic. The soundtrack, composed by the marvellous Yoko Kanno, is incredible, infact every scene is marked in an unique way