If you're looking for anime similar to Cowboy Bebop, you might like these titles. All recommendations are made by Anime-Planet users like you!
Twelve year old Mitsuki's desire is to become a singer. She has the talent and a beautiful voice, but she also has a throat tumor which threatens to rob her of her gift of song. As if things weren't bad enough, two shinigami inform Mitsuki that she only has one year left to live. However, all is not lost, for they make a deal that if she goes with them, they will help realize her dream by changing her into a healthy 16-year-old, who is able to sing and apply for auditions.
They both have young protagonist trying to find a certain someone while they are grouped with a bunch of unusual, unoticed people. They both have the same feel, but full moon wo sagashite isn't a dark anime it's just happy and sometimes sad and that's the way Cowboy Bebop feels (except for it's much more darker).
While transporting bio-weapon lifeforms, Agent DD, member of an alien police force, is forced to crash land on Earth. Amidst the chaos of the crash, a bio-weapon escapes and DD is forced to fight it, while accidentally activating a Liberus, a liquid battle suit. Tsubasa, a shy girl, unwillingly comes into contact with the Liberius and is thereafter forced to fight for the survival of Earth.
I always thought Figure 17 and Cowboy Bebop had a very similar atmosphere to each other. While Cowboy Bebop is aimed towards teenagers and Figure 17 for kids, they both seem to have a very similar storyline. Protagonist trying to find their way out of trouble and they are soon connected to the people that they don't care about they care about. Besides, Cowboy Bebop had Sci-Fi events and Figure 17 had action. Both have similar directions, but because of these rare and unique anime, Figure 17 is more suited to children.
The WWWA, or 3WA as it is affectionately known, is dedicated to one thing: The prosperity and well being of all the peoples of the Galactic League. The Dirty Pair are Kei and Yuri, the 3WA's top crime division female operatives with a 100% clean-up rate. The problem lies in the extreme collateral damage they cause to people and property in the single minded pursuit of their duty; including, if absolutely necessary, the wholesale destruction of cities, continents and even planets! No-one is safe, whether it be criminals, rogue robots, crazed computers and more likely, innocent bystanders!
Eisodic format, bounty hutners/"problem solvers" with a penchant for reckless behaviour and whose missions often end in destruction of some sort, lots of action of the gunslinger and martial arts variety and a sci-fi setting that features interplanetary travels. If these are things that interested you in either of these series I suggest that you check out the other.
Saitou Yakumo is a young man with a very special gift: he can see the souls of the dead and communicate with them. When the aloof student isn’t duping his fellow classmates out of their money with fake card tricks, he takes on paranormal cases that pique his interest. Making use of his unique abilities, logical mind and his contacts within the police, Yakumo strives to solve each supernatural case he takes on and bring those responsible to justice. But when the youthful detective becomes the target of a sinister duo can he get to the bottom of their scheme before he is dragged into a world of darkness and hatred?
Looking for a change, Mikado moves from the countryside to bustling Ikebukuro to attend the same high school as his best friend, Masaomi. Though navigating a new school and friendships can prove tough by itself, Mikado also finds an overwhelming number of new delights and dangers in the district he now calls home. From a friendly Russian sushi bar to the violent color gangs, to even an urban legend in the form of a black motorcycle rider, each resident of Ikebukuro is unique and frightening. But the town is smaller than it seems at first, and these strange events appear to be connected. Will the growing storm sweep up the transplanted country boy and his friends or will Mikado find himself at the center of a dramatic change for Tokyo?
The storylines of Cowboy Bebop and Durarara!! have very little in common. To be fair, the only reason I recommend them to eachother at all, is because of the action scenes. Heavy epxlosions of jazz follow quick flowing action scenes throughout both series.