You might try these links: https://www.youtube.com/watch?v=XxJKnDLYZz4 or https://www.youtube.com/watch?v=yk2CUjbyyQY They are live news broadcasting networks from Taiwan.

I usually browse news on www.163.com. Unlike news sites in US, most of these sites in China provides far less video contents. And the government maintains heavy cencorship over all media, I doubt if you can find something interesting on these sites.

There are many and many of them to watch and listen to. CCTV ( http://www.cctv.com/ ) is the most important and most popular TV station website online, where you can watch for free all the fifteen chanels online，synchronously or by the recordings.

I use http://www.qingting.fm/radiopage. Most national radios stations are on here.

If YouTube channel is acceptable to you, I would suggest "Wen Zhao Official文昭谈古论今". It seems to be the most subscribed Chinese self media on YouTube. It focuses mainly on politics which is a good way to learn about current China. And it also has content in text form, however, paied subscription is needed. Besides, the youtuber speaks decent Mandarin Chinese withou accent.