I see you're already watching Bambino, that's a good choice and I hope you like it! :)

Here are some other favourites of mine that I didn't find on your list!

Rated 10:
Koukou Kyoushi 2003 - One of the craziest plots I've seen with some weirdo characters, and yet I loved it to pieces, it touched my heart in a way I can't even explain.
Itoshi kimi e - A beautiful love story, a beautiful couple, good supporting characters. Annoying details sometimes but overall I loved it.
Koi - An interesting love triangle!
Iki mo dekinai natsu - An interesting story that had me hooked from the first episode and it was never boring.

Rated 9:
Biblia Koshodou no jiken techou - What Morgan 1988 said!
The Tempest - Historical fantasy drama with a touch of romance.
Shinya Shokudo - A really lovely food drama, bitter-sweet and sometimes funny, calming and relaxing like a bedtime story.
Ping Pong - friendship and ambition, trying to find a goal in life while playing ping pong. A great movie!

Rated 8:
20th Century Boys Movie trilogy. Friendship, revenge, sort of sci-fi, save-the-world-theme.
Dinner - A good food drama, in some ways more interesting than Bambino! but less cute and heart-warming, and not quite as much food porn.
Chase - A captivating story with great acting about revenge, obsession and despair. (Now that I think about it, I think it deserves a higher rating!)

I'm not sure we have the same taste, but these are some of the dramas that I find most memorable. :)
I will pick up Kou Kou Kyoushi since it was also recommended by a few people. I finished Bambino.
Thank you everyone. Last update on my part. I have looked at every suggestion closely and have completed some of them, and added many others onto my plan to watch! Thank you for your time!!!
Suvh a great list now you have , can you reccomend me one or two J doramas which by your measures considered the best among all ( masterpieces) , I don't mind classic (older) ones or any low quality avaliable shows. I am open to every genres (possibly romance , family or friendship)
Asuko March! - friendship/romance/school - 9 eps
Koishite Akuma - romance/school/vampire - 10 eps
Siren - romance/crime/thriller - 9 eps
Hanazakari no kimitachi e - comedy/frinedship/romance/school - 12 eps + special ep
Limit - life/school/psychological/suspense - 12 eps (1 ep is 30 mins each)
Ikemen desu ne - romance/comedy/music - 11 eps
Kingyo club - romance/school/drama - 10 eps

I hope you enjoy them!!! :) :)
Orange Days and Beautiful Life, I don't even have to think about it.
I cannot believe Proposal Daisakusen was not mentioned. I was cute/heart fluttering/makes you want to slap Ken. it was nice, at least for me.
and HIRUGAO, an  affair theme drama... made me ship for Ueto aya and Takumi saito
Suspense: Maou, Liar game
Romance: Hana Yori Dango, Nodame Cantabile
Physcological: Kazoku game
Melodrama: 1 liter of tears, taiyou no kisetsu
It's been a while since I stopped watching jdramas, so these might seem too old for you but I'll recommend them anyway :P 
These are the only jdramas/jmovies I've rated 9+.

Dramas:
Sunao ni Narenakute
Nobuto wo produce
Hana kimi
Anego
Last Friends

Movies:
Only you can hear me
Tokyo Girl
Yuuki
Hitsudan Hostess
Kamisama, Mou Sukoshi Dake always jumps first to my mind.
Cheap Love
Gokusen
Kimi wa Petto
Liar Game
LIFE
Koshonin
Majo no Jouken
Long Love Letter
Sapuri
Seigi no Mikata
Of course also Hana Yori Dango
1 Liter Tears

I tend to love the older ones more. I don't know why, but the recent jdramas just aren't to my taste and I think the romance in the old ones is better somewhat?
Kimura Takuya's dramas almost all of them are classic like Long Vacation, Love Generation, Beautiful Life, One Million Stars Falling From The Sky
I recommand these:

Koukou Kyoushi 1993
Koukou Kyoushi 2003
Dragon Zakura
Ashita Mama ga Inai
Gokusen (First Season only!)
Seija no Koushin
Samurai High School
Hana Yori Dango
Yamato Nadeshiko Shichi Henge
Nobuta wo Produce
Tatta Hitotsu no Koi
Kazoku Game
Bambino
Kimi wa Petto
1 Litre no Namida
Liar Game
LIFE
Limit
Majo no Jouken
Long Love Letter
Buzzer Beat
5-ji kara 9-ji made
Orange Days
Beautiful Life
Koishite Akuma
Majo Saiban
Atami no Sousakan
Strawberry Night
Strawberry on the Shortcake
Summer Snow
heart
W no Higeki
Zeni Geba
Mother
Kamisama mou Sukoshi Dake