Cowboy Bebop

In the year 2071, the crew of the ship, Bebop, travel around the solar system, trying to catch "bounty-heads." In the slang of the era, "cowboys" are bounty hunters, hence the name of the series. Each member of the Bebop crew contribute their own unique abilities to help catch bounty heads. Most episodes revolve around a bounty, however the real focus of the show concerns the pasts of each character, which unravel and connect as the series progresses.