Is there Netflix-like service in China that lets you see Chinese dramas with subtitles for the learning purpose?
youku.com, tudou.com, iqiyi.com, letv.com

-- 2017 Jun 28 Edit --

Ok let me explain more to Chinese learners why these websites are probably more useful for studying Chinese (of course, in my opinion). Plus, the question specifically asked for sites for Dramas, which I think is a really good source for practicing listening and speaking.


These sites are where native Chinese people go for watching episodes. They have most up to date content and a wide range of category for you to choose.
Serials on these sites, unlike other illegal sources, are of high quality. A lot of serial dramas companies signed contracts with these sites so videos on these websites are genuine, provide 1080P streaming, some even provide Dolby audio effect.
Subtitles. According to 《无障碍环境建设条例》(http://www.gov.cn/zwgk/2012-07/10/content_2179864.htm), no. 21 stated that any published film and television programs are required to have subtitles. Since the videos on these websites are genuine, there will always be subtitles on it. This is because not everyone in China speaks Mandarin, and some people can't hear. This is very helpful if you are studying Chinese.


Notes: Probably the most important thing, if you are streaming from places other than Mainland China, is that due to copyright restriction, you may not be able to play some of the shows directly. Just install the plugin called "Unblock Youku" on your Chrome browser, then you can enjoy endless shows.

A non-related note: Some people prefer watching News and some people prefer watching shows. That's alright. As a native Mandarin speaker and English learner, I think, for me, watching Two Broke Girls and The Late Late Show is more effective than watching BBC news. The point is you should find what you like the most, and identify whether your goal is to gain communication skills or to acquire more academic language skill, then pick the best material and the learning will be a fun experience other than a dreary task.