Here is a very looong list:
ROMANCE
Hana yori dango – it’s a must see it’s the classical Cinderella story but one of the bests ever done (2 seasons and 1 movie)
Buzzer Beat – good romance drama about 2 people that meet and fall in love but first they have to find the perfect timing for them to be together
Love Shuffle – it’s a story involving 4 couples and how they learn what love is
Pride – a classic romance drama with a mature couple who grow and learn from each other and also heal each others wounds
Tatta Hitotsu no koi – a very good romance and it’s a Cinderella story but inverse (rich girl, poor boy)
Hotaru no Hikari – this has 2 seasons and a movie, and it’s a bout a couple that has to live together due to some circumstances and gradually fall in love
We married as a job - As mentioned before this one is compared to Because this is my first life. I liked both of them but I'll have to say I liked better how they managed the "contract relationship" at the final episodes here.
Soratobu Kouhoushitsu - I like this one, because is also about 2 persons who had their dreams broken about their ideal jobs but with the help of each other discover a new passion in life.
Kahogo no Kahoko - This one is pretty sweet and lighthearted, the OTP is very cute and it centers alot on family.
Boku unmei no hito desu - This one is also pretty lighthearted, the male lead is very sweet and kind and it's totally focused on romance.
DRAMA
Byakuyako – this is a very intense drama about 2 people that met since childhood and develop a strange relationship in which both of them are united by a serious of crimes
Koizora
Taiyou no kisetsu – a romance drama but with melo in it
Soredemo, ikite yuku – this drama is also very heavy and it’s about a man whose sister is killed and the the killer’s sister who meets and falls in love with that man
Sekai no Chuushin de, Ai wo sakebu – kind of like Koizora and 1 liter of tears
COMEDY
Atashinchi no Danshi -
Hanazakari no Kimitachi e – reverse harem a girl crossdressing and living in a boys shcool
Ouran High school host club – reverse harem a girl crossdressing so she can be part of the school’s host club
Mei-chan no shitsuji
My Boss, my hero – this drama is hilarious and it’s about a yakuza that has to go back to highschool in order to get his high school diploma, but he has to keep his yakuza status a secret
SLICE OF LIFE
Nodame Cantabile – very good drama with romance an music it has 1 season, 2 specials and 2 movies
My girl – it’s a drama of a man that suddenly finds out he has a daughter and has to live wit her.
GTO – If you liked Dragon Zakura you’ll like this one and the following one (Gokusen) It’s about teachers and troublesome students
Gokusen
Dragon Zakura
SUSPENSE
Maou – the best suspense drama ever!
The quiz show 2 – it’s about a Quiz show were they ask the contestants very personal questions in order to reveal their deepest secrets
N no tame ni – it’s about a group of friends that are united due to a double assassination and they hide who the killer is
Ryusei no Kizuna – a revenge drama about 3 siblings who look for the killer of their parents before the statute of limitations ends
Liar Game – it’s about a game that involves lying a deception in order to win
Kazoku game – it’s a psychological drama about a teacher and a family and his strange ways of teaching
Kurosagi – it’s about a swindler who targets swindlers due to his personal vendetta
Black Pean - medicine and mystery involved.
SPORTS
H2 – baseball and romance united in a story about highschool life
Tumbling – a group of boys who bond through tumbling and find a dream to follow
Yowakutemo Katemasu – a different kind of underdog drama about a baseball team who challenges winning a baseball game with new strategies involving their weakness
Rookies
MOVIES
Death Note – a story about a student who finds a strange notebook, he discovers that if he writes the name of a person in that notebook that person dies from a heart attack. So he starts killing criminals. A famous detective named L swears to stop him. (2 movies)
Rurouni Kenshin – a period movie about a strong samurai and how he helps the restauration of a new era (3 movies)
Bokura ga ita - a romance movie about a couple that meets in highschool and fall in love. It’s the story if ther love and hardships (2 movies)
Heroine Disqualified – a rom-com set in highschool
Paradise Kiss – it’s about a fashion designer and a highschool student who turns into his model and their romance starts to bloom.