I started dramas long ago, around 2005 probably. I believe - and I'm not even sure - the first one was Gokusen. I was reading the manga on internet and got word of a live action. Back then, I only watched jdramas until I tried Full House. It did grow old but it was still a pretty good drama at that time. There were few ones about cohabitation.
Now, I have watched many dramas and would gladly give recommendations if you're in a slump. You can also check the lists I made if you're looking for a specific genre. There are a few genres I'm usually not fond of (although there are exceptions) and won't be able to make recommendations : melodramas, family, tokusatsu, law, business, tragedy, and medical dramas.
My rating system :
10 = major drama you MUST watch at least once !
9 = very good drama definitely worth watching !
8 = good drama, really enjoyable but not exceptionnal enough to get a 9.
7 = enjoyable drama to pass time but I probably won't remember it.
6 = Not that bad but sometimes a bit boring. Fast-forwarded often.
5 = Just boring. Most likely dropped.
4 = Way too overacted to my taste.
3 = No story.
2 = Something in the main theme highly bothered me (for exemple showing people getting drunk as something cool)
1 = Absolutely unfinished ending (not just an open-ending). I seriously felt like I wasted my time.
NB 1 : When the rating is something and a half, that just means I hesitated.
NB 2 : Once in a while, I update my drama list. I dropped a point on some dramas because they aged, because a lot of time passed and I didn't remember them as strongly as others, or simply because I now consider other dramas better. Sometimes, it's the other way around : with time, they grew onto me.