No historic or mainly comedy. Romantic comedy is fine. Just need good dramas to watch with good plot.

Not rom-com, but I just finished "Uso no Sensou" and I highly recommend it.
I second Quartet, it's an amazingly well done drama.
99.9 % Criminal Lawyer
Nigeru wa haji da ga, yaku ni tatsu
Kazoku no Katachi
Maou
Dame na watashi ni koishite kudasai
Kekkon Dekinai Otoko

HanaKimi (the original, not remake)

Gomene Seishun

Saiko no Rikon (less RomCom?)

But idk if these qualify for good "plot"
How about dramas that ends with a wedding 
You can also Watch :
http://mydramalist.com/570-life (school drama, plot about abuse in school)
http://mydramalist.com/151-dragon-zakura (school comedy, a little similar than GTO)
http://mydramalist.com/23-kimi-wa-petto (romantic comedy, speak also about situation of women in society)
http://mydramalist.com/10853-seirei-no-moribito (action, fantasy)
WE MARRIED AS A JOB

it's a romcom with a really good plot
We married as a job
Is not that I can not marry but I don't want to
Pride
Buzzer Beat
Tatta Hitotsu no koi
From 5 to 9
Boku unmei no hito desu
Hana yori Dango
Nodame Cantabile
Love Shuffle
Sekai ichi muzukashii koi
1 litre of tears
Hotaru no hikari 
Where can I watch these??!???!!