Best completed ones are probably the works of Urasawa and Matsunaga, but Matsunaga is the best, he keeps his series short, to the point and EPIC at the same time.
So without further ado, required reading for all manga fans that are looking for a good story that is short and completely well done:
By far the best completed series I have ever read.
my two favorites are fullmetal alchemist and Monster (by urasawa naoki). between the fullmetal alchemist more; the story just wrapped perfectly in the end; it's as if the author had the entire story in mind before starting out.
Off the top of my head, the first to come to mind is Ciguatera. It just really hit me in the gut, especially the final chapter.
Would have to put Konya mo Nemurenai on mine, since it just completed and was essentially one of the best BL experiences Ive ever read all these years. Sure it was light and kind of slow paced potentially but it made the relationship that developed all the more special. Beyond that it had good demon v demon action going on in the background and soon the main picture to spice it up and make it much better than any traditional bl fantasy type story. It was great.
Here's some of mine.
Tonari no Atashi
Cradle of Monsters
Eden no Ori
I have finish reading rave master black cat flame of recca trust me this 3 manga is complete and very2 nice story
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Bakuman ? If I'm not bothering you can you plase tell me what is baluman manga about ?
Here's the synopsis from MyAnimeList
"Moritaka Mashiro and Akito Takagi are pretty much foils of each other. Mashiro, an average 9th grade student but talented artist, and Takagi, an overall advanced 9th grader and aspiring writer. After great convincing, Takagi convinces Mashiro to join him in becoming the greatest mangakas Japan has ever seen. Takagi, with his gift of writing, hopes to become a successful mangaka, and Mashiro, with his gift of art, hopes to marry the girl of his dreams, Azuki Miho."
It's essentially a slice of life-y series following the life and career of a mangaka. With a colorful cast of characters he meets along the way.
Shin Angyo Onshi
Blade Of The Immortal
Samurai Deeper Kyo
Ive yet to get through more of the beelzebub continuation, I dont want to accept it as ended.
Hm best completed manga...I still feel Majin Tantei Nougami Neuro is the best completed manga I've read. I re-read it now and then and I really enjoy everything up until the end.
I want to include Liar Game as well because if you ignore the WTF ending the rest of the manga is pretty damn good!
OH and how could I forget Monster ?! I loved Monster, its really a 10/10 manga for me!
The prince of Tennis
Kuroko no Basket
Ouran Highschool Host Club