For the first 14 years of his life, Yukio Tanaka has been one heck of a boring guy. He has no hobbies, weak taste in music, and only a small vestige of a personality. He yearns for an exciting life, but his shy, and somewhat neurotic personality makes him his own worst enemy. Little does he know that his life will be forever changed when he meets Ryusuke Minami, a wild and unpredictable 16-year old fresh from America, who happens to be in a rock-and-roll band named after his Frankenstein-like patched dog--Beck.

Note: Won the 26th Kodansha Manga Award for Best Shounen in 2002 (shared with Sakigake!! Cromartie Koukou).

Tohru Honda, an orphaned high-school girl, is taken in by the wealthy Shigure Sohma when he realizes she has nowhere else to go. However, the Sohma family shares a secret, and it isn't long before Tohru discovers that there's a reason why her classmates, Yuki and Kyo Sohma, never let girls get near them, and never talk about their lives before they lived with Shigure. And before she knows it, Tohru has become so tangled up in the lives of each member of the Sohma family that she couldn't leave even if she wanted to.

As she learns more and more about the truth of the Sohma family and the nature of their secrets, she desperately searches for a way that she can save them. But what can one girl do, especially when it seems that she may have been part of someone's plan all along . . .

Fruits Basket received the 2001 Kodansha Manga Award in the shoujo manga category and the "Best Manga" award at the 2007 American Anime Awards.

From Easy Going Scans:

Piano prodigy Arima Kosei dominated the competition and all child musicians knew his name. But after his mother, who was also his instructor, passed away, he had a mental breakdown while performing at a recital that resulted in him no longer being able to hear the sound of his piano even though his hearing was perfectly fine. Even two years later, Kosei hasn’t touched the piano and views the world in monotone, and without any flair or color. He was content at living out his life with his good friends Tsubaki and Watari until, one day, a girl changed everything. Miyazono Kaori is a pretty, free spirited violinist whose playing style reflects her personality. Kaori helps Kosei return to the music world and show that it should be free and mold breaking unlike the structured and rigid style Kosei was used to.

Won the Kodansha Manga Award for Shounen in 2013.

Welcome to Cromartie High—a melting pot of underachievers and overzealous bullies, where the fist rules, and the student body has the combined I.Q. of a rusty nail. After a whole lot of bad judgment and a little bad luck, Takashi Kamiyama is now attending this academy of dunces. Here, his only homework will be defending himself against the foul-mouthed robots, semi-intelligent apes, and masked villains that roam the halls of Cromartie High School!

Won the 26th Kodansha Manga Award for Best Shounen in 2002 (shared with Beck).

Note: The chapters are incorrectly numbered starting from Volume 14 (the volume begins with chapter 267 even though the last chapter of Volume 13 is 269).

One day a tanuki named Monoko stumbles across a baby abandoned by its mother. Having no family of her own, she raises the baby to the best of her ability even though they originate from different species. Hardships and enemies face the tanuki but that doesn't stop Monoko protecting the baby at all costs. Many trials await this baby as it grows and communicates with the animal world.

Won the Kodansha Manga Award for Children's Manga in 2013.

Smart, successful and good-looking Iwaya Sumire works for a big newspaper. However, her boss asks her to leave for being too "perfect" a woman. Feeling angry and dejected Iwaya returns home depressed, and most of all lonely. However, when she finds an unconscious young man lying in a box out the front of her home, she takes him in since he looks like a dog she used to own called Momo. She dubs him Momo and decides to "keep him as a pet." It's the start of an unexpected life together as they overcome obstacles and become quite attached to one another. But can love like this exist?

This manga won the 27th Kodansha Manga Award for shoujo in 2003 (shared with Hachimitsu to Clover).

About the lives of the sextuplets: Osomatsu, Karamatsu, Choromatsu, Ichimatsu, Jyushimatsu, and Todomatsu.

Note: Won the 10th Shogakukan Manga Award in 1964.

The story revolves around Nishimiya Shōko, a grade school student who has impaired hearing. She transfers into a new school, where she is bullied by her classmates, especially Ishida Shouya. It gets to the point where she transfers to another school and as a result, Shōya is ostracized and bullied himself, with no friends to speak of and no plans for the future. Years later, he sets himself on a path to redemption.

Note: Won the 19th Tezuka Osamu Cultural Award New Artist Prize in 2015 and the Ogaki City Cultural Alliance Award (Lifestyle Culture Division). Nominated for the category "Best U.S. Edition of International Material" in the 2016 Eisner Awards.

From Del Rey:
Ponta is a Labrador retriever puppy, the Koizumi family's pet. She's full of energy and usually up to some kind of mischief. But when Grandpa Koizumi, an amateur inventor, creates the Guru Guru Bone, Ponta's curiosity causes trouble. She nibbles the bone - and turns into a human girl! Now Ponta lives two lives: one canine and one human!

Winner of the Kodansha Manga Award for Shoujo 2000.

Strange murders are happening in Tokyo. Due to liquid evidence at the scene, the police conclude the attacks are the acts of man-eating monsters, ghouls.
College buddies Kaneki and Hide come up with the idea that ghouls are imitating humans so that's why they haven't ever seen one. Little did they know that their theory may very well be reality.

Note: The prototype chapter won the Young Jump 113th Grand Prix award in 2010.

From VIZ:

Winning isn't everything in the game of basketball, but who wants to come in second? It takes dedication and discipline to be the best, and the Shohoku High hoops team wants to be just that. They have one last year to make their captain's dream of reaching the finals come true--will they do it? Takehiko Inoue's legendary beloved basketball manga is finally here and the tale of a lifetime is in your hands.

Hanamichi Sakuragi's got no game with girls—none at all! It doesn't help that he's known for throwing down at a moment's notice and always coming out on top. A hopeless bruiser, he's been rejected by 50 girls in a row! All that changes when he meets the girl of his dreams, Haruko, and she's actually not afraid of him! When she introduces him to the game of basketball, his life is changed forever...

Notes:
- Includes a oneshot called 10 Days After.

- In 1995 Slam Dunk received the 40th Shogakukan Manga Award for shounen.

From Dark Horse:

Alone in his dorm on a Saturday night, Nekomi Tech's Keiichi Morisato dials a wrong number that will change his life forever: reaching the Goddess Technical Help Line. Granted one wish by the charming young goddess Belldandy--a wish for anything in the world--Keiichi wishes she would stay with him always! Complications are bound to ensue from this; the immediate first being the new couple getting tossed out of the dorm-it's males only!

As the hapless student and his mysterious "foreign beauty" ride around looking for a new place to stay--risking the different dangers of seeking shelter with an otaku convinced Belldandy is an imaginary woman, and a Zen priest convinced she's a sinister witch--Keiichi's still got his classes on Monday morning! How is his new "exchange student" companion going to be received on the N.I.T. campus? A little too well for normal life to ever return...

Won the Kodansha Manga Award for General Manga in 2009.

It centers around the travels and battles of one Aotsuki Ushio, who is constantly being stalked and aided by a gigantic, supernatural and sometimes invisible tiger (Some people describe it as akin to Calvin and Hobbes on acid).

Ushio's family maintains a Shinto temple in Japan, where 500 years ago, his samurai ancestor battled that same tiger to a standstill, and eventually trapped him against a rock using, a blessed spear called the "Beast Spear", which in addition to its intrinsic formidability as a weapon, can also boost the physical powers of the user. While cleaning out the temple storage, Ushio accidentally unseals the chamber which Tora was trapped in. Initially, Ushio wisely refused to remove the spear pinning Tora (とら, Japanese for tiger) down, as Tora unwisely makes the strategic blunder of mentioning that the first thing he would do upon being freed would be to devour Ushio; but Tora's unsealed presence attracts various demons to the premises, and Ushio is forced to free Tora in exchange for his help. The series focuses on their relationship, interspersed with battles against mythological foes, and with Tora's attempts to grapple with modern life and gobble up Ushio.

Won the Seiun Award for Best Comic of the Year in 1997. It also received the Shogakukan Manga Award for shounen in 1992.

Growing up in the late 16th century Sengoku era Japan, Shinmen Takezō is shunned by the local villagers as a devil child due to his wild and violent nature. Running away from home with a fellow boy at age 17, Takezo joins the Toyotomi army to fight the Tokugawa clan at the Battle of Sekigahara. However, the Tokugawa win a crushing victory, leading to nearly three hundred years of Shogunate rule. Takezo and his friend manage to survive the battle and afterwards swear to do great things with their lives. However, after their paths separate, Takezo becomes a wanted criminal and must change his name and his nature in order to escape an ignoble death.

Note: Won the 24th Kodansha Manga Award in the general category in 2000. Won the Tezuka Osamu Cultural Prize in 2002 and was nominated for the 2003 Eisner Award in the Best Writer/Artist category.

Hito Natsu no Kids Game (ひと夏のKIDSゲーム Hito Natsu no KIDS Gēmu) is a short, debut manga work by Ken Akamatsu, the creator of Love Hina. The manga was published on September issue of Kodansha’s Magazine Fresh on September 10, 1993. Ken Akamatsu later received Kodansha’s "Freshman Manga Award" (Japanese: 新人漫画賞/少年マガジン新人賞) and Special Jury Award (Japanese: 審査員特別賞) for this work.The manga was re-published on 20 May 2001.

(Description taken from Wikipedia)

From Viz:
When goofy inventor Senbei Norimaki creates a precocious robot named Arale, his masterpiece turns out to be more than he bargained for!

This series helped launch Toriyama's career and was awarded the Shogakukan Manga Award for shounen and shoujo manga in 1982.

A shounen story where 2 teenagers went back in time to the "Three Kingdoms" period of China. An entertaining action series with some light moment & a bit of romance. You also get to learn a bit about that era.

From JanKenPon:
Middle schoolers, Shiro and Masumi, encountered a mysterious dragon that brought them back to the time of the Three Kingdoms; situated in ancient China. As soon as they arrived, they were rescued by the Han Kingdom. Not long after these events, Masumi was kidnapped and Shiro barely escaped death... Soon the story gets more complicated as they are stuck in the past.

In 1997, Ryuurouden won the Kodansha Manga Award for shōnen manga.

The title character, Maruko, is a nine-year-old third-grade student. She is lazy, disorganized and usually late for school, in strong contrast with her neat and tidy older sister who must share her room with her. Maruko, like many kids, tries to avoid homework and chores, takes advantage of her doting grandfather and squabbles with her sister. Nevertheless, she is a well-meaning child who tries to do good.

Maruko's real name is Momoko Sakura (さくらももこ Sakura Momoko), the same as the pen-name of her creator Miki Miura 三浦美紀 (who used her own childhood experiences as inspiration). Her nickname "Maruko" is made of marui ("round", because of her round face) and -ko (girl child); the prefix chibi and the suffix -chan also refer to a cute child.

Maruko's trademark face fault in reaction to embarrassment is the sudden appearance of vertical lines on her face, sometimes with an unexplained gust of wind blowing behind her head. This is sometimes mimicked by female fans of the series who draw the fingers of one hand down across the face to show embarrassment. On the internet this is often used as emoticons, by speech marks. For example: -_-"

Other characters include Maruko's classmate and best friend Tama-chan. A fan favorite is Maruko's kind but absent-minded grandfather. Naive and easily tricked, he keeps a pet turtle and loves watching TV with Maruko. When feeling distressed or nostalgic, he spontaneously retreats to a surreal inner world for a few seconds to improvise a sad yet comical haiku about his state of mind.

Won the 13th Kodansha Manga Award for shoujo in 1989 (shared with Shiratori Reiko de Gozaimasu!).

The plot begins when Moritaka Mashiro, a junior high student, forgets his notebook in class. His classmate, Akito Takagi, notes Mashiro's drawings in it and asks him to become a manga artist to his stories. Mashiro declines, citing his late manga artist uncle, who died from overworking. Takagi incites Mashiro to meet with Miho Azuki, Mashiro's crush, and tells her the two plan to become manga artists. In response, Azuki reveals her plans to be a voice actress. Mashiro proposes to her that they should both marry when Azuki becomes a voice actress for the anime adaptation of their manga. The two then start creating their manga, under the pen name Muto Ashirogi, in hopes of getting serialized in Weekly Shōnen Jump.

Nominated for the 3rd Manga Taisho Award (2010).

In the 18th century, seeking "freedom and equality", the event that became the starting point of modern French society, the French Revolution, began. There was one more protagonist that lived within the darkness, Henry Charles Sanson. He was the fourth generation family head of the Sanson Family, and executioner of Paris.
This is the historie of him nobly facing the harsh fate.

Note: Was nominated for the 18th Tezuka Osamu Cultural Prize Reader Award in 2014 and for the 8th Manga Taisho Award in 2015.