For website to watch J-drama it depends on the fansubs. You can check the mdl drama page for each drama. I'm watching Futtara Doshaburi on kisskh.la, Himitsu: The Top Secret episode 1 on a fansub that was mentioned in drama page (hjshoshi iirc) but episode 2 on dramacool.com.tr since it's faster, and Futekisetsu ni mo Hodo ga Aru on onetouch tv (apps/website)
For drama recommendation, I'm currently watching 2 airing J-dramas
Futtara Doshaburi is a BL drama that's focusing onto two couples; male-female and male-male; that's lacking sex life/never have sex then the two males from the two couples that want to have sex connected through e-mails by accident and they actually work in the same company.
Himitsu: The Top Secret is about an investigation team that's using a machine to watch the memory of the victim or the criminal through their brains. Very interesting but a bit twisted.
And ptw 3 currently airing drama:
Berabo: Tsuta Ju Eika Osamu Yume Hanashi will start this next week
Ikinari Kon
Kujaku no Dance, Dare ga Mita?
Just yesterday I completed:
Futekisetsu ni mo Hodo ga Aru! It's a time travel drama about a single father accidentally boarded onto a bus that's travelling back and forth from the year of 1986 to 2024 and vice versa. Very funny and interesting with several characters singing together in turns about their feelings and opinions. But don't take it personal as several jokes may be too much for some people.
And I put 2 J-dramas on-hold:
Shogun plan to continue it next week, since 2 weeks ago I'm not in the mood to watch a political drama.
Sora Wataru Kyoshitsu watched it until episode 6 since I can't find any subbed video for episode 7. Someone in one forum told me to apply membership to drama otaku but yeah, I haven't. I hope it will suddenly appear in any of the apps and websites I used. This one is about the members/upcoming members of a science club in an afternoon high school for people who can't or won't enroll in normal high school because of their respective circumstances. Very interesting and meaningful (but has no subs (T-T)).