Manga Series Which are Better than Their Anime Adaptations. Part 1
Tokyo Ghoul manga and Tokyo Ghoul anime (season 1)
If we compare Ishida Sui's manga Tokyo Ghoul with its anime adaptation (season 1) Tokyo Ghoul, we can notice that they match almost perfectly. All characters are done right and the chronology is the same like in the manga. The graphic in the anime is well done and the soundtrack is fitting. The plot revolves around Kaneki Ken and his tragedy of suddenly becoming a half-ghoul. The scenes were not censored and they mirror the brutality of every manga panel. We get to see the world from the ghoul's point of view and see what kind of struggles Kaneki faces, while and organisation of ghoul investigators (CCG) hunts him.
The only difference is that some scenes from the Tokyo Ghoul manga were not animated, even though they were of importance, but it didn't affect the main plot.
Tokyo Ghoul manga and Tokyo Ghoul Root A (season 2)
After the ending of the first season of the Tokyo Ghoul anime, the plot continues in Tokyo Ghoul Root A and it's rather confusing. A lot of things from the manga were never mentioned, even though they were really important for the later plot. They changed the main character's course of action and made Kaneki Ken look like a villain (none of this happened in the manga). The anime doesn't focus on character developments and it was never explained why they did certain things.
The biggest and the most important difference is the ending of Tokyo Ghoul Root A, which was completely changed. The anime excluded the best battle from the manga, they shortened the story, they never showed what happened to the majority of the characters, they skipped important back-stories and all anime battles were censored.
Tokyo Ghoul:re manga
The plot in the manga continues in Tokyo Ghoul:re, where we see the world from the CCG's point of view. Tokyo Ghoul anime season 3 has been announced, but it is questionable if they will follow the manga, since they changed too many things (deaths of characters, lack of important scenes).
The manga is about a young traveler Himura Kenshin who was formerly known as the assassin Hitokiri Battousai. One day, by defending a girl named Kaoru from a fake Battousai, his identity got found out and the trouble begins.
The Rurouni Kenshin anime can't compare to the Rurouni Kenshin manga. The anime differs from the manga in more than one way. The soundtrack and the voice actors are not promising, even the mangaka Nobuhiro Watsuki stated so and was apologizing to his fans because of it. The anime series only follow the manga up to the Kyoto arc, while the Jinchu arc (the final arc) is not animated. After the Kyoto arc, there are only filler episodes and no solid ending. Even the first arc has a lot of filler episodes which don't connect you to the characters and make the anime boring and too long without a central plot.
The anime has non-cannon characters which change the fact that Kaoru was supposed to be without a "family" in the manga. The manga shows the relationships and personalities of the characters way better (the anime makes the characters look shallow).
There are some OVAs which cover the remaining story-line, but they didn't succeed in presenting the transformation from Battousai to the rurouni Kenshin we all know.
The Deadman Wonderland anime is only the surface of the psychological theme the Deadman Wonderland manga presents. It is very hard to show and explain such a difficult theme in only 12 episodes.
The manga follows the story of a boy named Ganta who is falsely accused of killing everyone in his classroom, so he gets sentenced to death and ends up in a prison called Deadman Wonderland. There he meets a mysterious girl Shiro and tries to survive while being forced to participate in various games.
The first three episodes are well done, following the first chapters of the manga, but after that, the manga skips forward and leaves a lot of scenes unexplained and cut out (those were the scenes which made the manga famous in the first place). You don't even have time to bond with the characters, since the plot is already moving onto the final stage. Even though the manga has 58 chapters, the anime only covers 21 of them.
There are only slight differences between the Kuroshitsuji manga and the Kuroshitsuji anime (season 1). The ending of the Kuroshitsuji anime season 1 was a filler and the entire Kuroshitsuji II (season 2) was a filler (the ending was unexpected and took everyone by surprise, but it's worth watching).
After a tragic fire took the lives of the Phantomhive family, the only heir named Ciel is determined to take revenge for his and his parents' death by making a pact with a demon called Sebastian. Sebastian will serve him until the demand has been fulfilled and Ciel will give Sebastian his soul in return.
In 2014 they decided to return to the original story-line by making Kuroshitsuji: Book of Circus.
The reason why the manga is recommended more than the anime is because the relationship between characters is darker, better developed and more serious. There are less clues in the anime about Sebastian wanting to eat Ciel's soul. Even when Sebastian states that, we don't consider him being the bad guy, because the anime made it look like Sebastian bonded with Ciel. While the manga shows that their relationship is based on mistrust and is fragile. The character developments are better shown in the manga. In the anime, Elizabeth is shown as a lively, carefree and childish girl, but in the manga it's just the opposite: she is brave, determined and straight forward.
The Rave Master manga follows Haru whose life gets changed after he receives a mysterious Rave Stone. After that, he goes on a journey to find the Rave, leaving his sister behind just like their father did. On his journey Haru meets a gambler girl called Elie and a boy named Musica, who is a Silver-Claimer.
The Rave Master anime skipped the first chapters of the Rave Master manga. The manga is more detailed and concentrated with moving on with the plot. Some of the scenes from the manga were slightly changed in the anime. The manga has much better art, since the coloring of the characters in the anime is a bit off. One more reason is that the anime has stopped suddenly and has no real ending.
Tsubasa: RESERVoir CHRoNiCLE and Tsubasa Chronicle are like two completely different series. Even though it may seem like the anime follows the manga, they differ in almost every part.
Tsubasa: RESERVoir CHRoNiCLE revolves around Syaoran and Sakura, two childhood friends from Clow Country. After Sakura has unconsciously awoken her magic power, her memories get scattered away into different dimensions in the form of feathers. Syaoran, determined to return Sakura's memories, joins together with Fai and Kurogane to achieve each of their goals.
The start of the Tsubasa Chronicle anime follows the manga closely and there are almost drastic differences. The only things is that the arcs are made longer than they actually are, which makes them boring to watch. After episode 42 (episode 16 of the second season), the anime continues with fillers. The ending in the anime is not connected to the plot nor can it be considered an ending.
The characters in the anime are very laid-back, carefree and childish compared to the ones portrayed in the manga. The manga is a lot darker, while the anime was adapted to younger fans. The manga is more brutal and shows more psychological insight in the characters' minds. It shows more character development and reveals more about the characters' past which were left out in the anime.